nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
78,
64,
8,
49
] | 43 | [
"78-64=14",
"8+49=57",
"57-14=43"
] | Current State: 43:[78, 64, 8, 49], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [8, 49, 14]
Generated Node #2: [8, 49, 14] from Operation: 78-64=14
Current State: 43:[8, 49, 14], Operations: ['78-64=14']
Exploring Operation: 8+49=57, Resulting Numbers: [14, 57]
Generated Node #3: [14, 57] from Operation: 8+49=57
Current State: 43:[14, 57], Operations: ['78-64=14', '8+49=57']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
13,
24,
40,
25
] | 53 | [
"13+40=53",
"25-24=1",
"53*1=53"
] | Current State: 53:[13, 24, 40, 25], Operations: []
Exploring Operation: 13+40=53, Resulting Numbers: [24, 25, 53]
Generated Node #2: [24, 25, 53] from Operation: 13+40=53
Current State: 53:[24, 25, 53], Operations: ['13+40=53']
Exploring Operation: 25-24=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 25-24=1
Current State: 53:[53, 1], Operations: ['13+40=53', '25-24=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
15,
27,
95,
54
] | 55 | [
"15+95=110",
"54/27=2",
"110/2=55"
] | Current State: 55:[15, 27, 95, 54], Operations: []
Exploring Operation: 15+95=110, Resulting Numbers: [27, 54, 110]
Generated Node #2: [27, 54, 110] from Operation: 15+95=110
Current State: 55:[27, 54, 110], Operations: ['15+95=110']
Exploring Operation: 54/27=2, Resulting Numbers: [110, 2]
Generated Node #3: [110, 2] from Operation: 54/27=2
Current State: 55:[110, 2], Operations: ['15+95=110', '54/27=2']
Exploring Operation: 110/2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
55,
32,
90,
2
] | 44 | [
"55-32=23",
"2*23=46",
"90-46=44"
] | Current State: 44:[55, 32, 90, 2], Operations: []
Exploring Operation: 55-32=23, Resulting Numbers: [90, 2, 23]
Generated Node #2: [90, 2, 23] from Operation: 55-32=23
Current State: 44:[90, 2, 23], Operations: ['55-32=23']
Exploring Operation: 2*23=46, Resulting Numbers: [90, 46]
Generated Node #3: [90, 46] from Operation: 2*23=46
Current State: 44:[90, 46], Operations: ['55-32=23', '2*23=46']
Exploring Operation: 90-46=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
94,
61,
22,
15
] | 10 | [
"94-61=33",
"22*15=330",
"330/33=10"
] | Current State: 10:[94, 61, 22, 15], Operations: []
Exploring Operation: 94-61=33, Resulting Numbers: [22, 15, 33]
Generated Node #2: [22, 15, 33] from Operation: 94-61=33
Current State: 10:[22, 15, 33], Operations: ['94-61=33']
Exploring Operation: 22*15=330, Resulting Numbers: [33, 330]
Generated Node #3: [33, 330] from Operation: 22*15=330
Current State: 10:[33, 330], Operations: ['94-61=33', '22*15=330']
Exploring Operation: 330/33=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
33,
81,
79,
48
] | 13 | [
"33+81=114",
"79+48=127",
"127-114=13"
] | Current State: 13:[33, 81, 79, 48], Operations: []
Exploring Operation: 33+81=114, Resulting Numbers: [79, 48, 114]
Generated Node #2: [79, 48, 114] from Operation: 33+81=114
Current State: 13:[79, 48, 114], Operations: ['33+81=114']
Exploring Operation: 79+48=127, Resulting Numbers: [114, 127]
Generated Node #3: [114, 127] from Operation: 79+48=127
Current State: 13:[114, 127], Operations: ['33+81=114', '79+48=127']
Exploring Operation: 127-114=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
4,
61,
4,
33
] | 75 | [
"61-4=57",
"4*33=132",
"132-57=75"
] | Current State: 75:[4, 61, 4, 33], Operations: []
Exploring Operation: 61-4=57, Resulting Numbers: [33, 57]
Generated Node #2: [33, 57] from Operation: 61-4=57
Current State: 75:[33, 57], Operations: ['61-4=57']
Exploring Operation: 4*33=132, Resulting Numbers: [57, 132]
Generated Node #3: [57, 132] from Operation: 4*33=132
Current State: 75:[57, 132], Operations: ['61-4=57', '4*33=132']
Exploring Operation: 132-57=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
76,
4,
78,
96
] | 35 | [
"76+96=172",
"172/4=43",
"78-43=35"
] | Current State: 35:[76, 4, 78, 96], Operations: []
Exploring Operation: 76+96=172, Resulting Numbers: [4, 78, 172]
Generated Node #2: [4, 78, 172] from Operation: 76+96=172
Current State: 35:[4, 78, 172], Operations: ['76+96=172']
Exploring Operation: 172/4=43, Resulting Numbers: [78, 43]
Generated Node #3: [78, 43] from Operation: 172/4=43
Current State: 35:[78, 43], Operations: ['76+96=172', '172/4=43']
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
85,
28,
23,
3
] | 22 | [
"85-23=62",
"28*3=84",
"84-62=22"
] | Current State: 22:[85, 28, 23, 3], Operations: []
Exploring Operation: 85-23=62, Resulting Numbers: [28, 3, 62]
Generated Node #2: [28, 3, 62] from Operation: 85-23=62
Current State: 22:[28, 3, 62], Operations: ['85-23=62']
Exploring Operation: 28*3=84, Resulting Numbers: [62, 84]
Generated Node #3: [62, 84] from Operation: 28*3=84
Current State: 22:[62, 84], Operations: ['85-23=62', '28*3=84']
Exploring Operation: 84-62=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
92,
50,
76,
78
] | 44 | [
"92-50=42",
"78-76=2",
"42+2=44"
] | Current State: 44:[92, 50, 76, 78], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [76, 78, 42]
Generated Node #2: [76, 78, 42] from Operation: 92-50=42
Current State: 44:[76, 78, 42], Operations: ['92-50=42']
Exploring Operation: 78-76=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 78-76=2
Current State: 44:[42, 2], Operations: ['92-50=42', '78-76=2']
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
68,
78,
36,
76
] | 50 | [
"78-68=10",
"76-36=40",
"10+40=50"
] | Current State: 50:[68, 78, 36, 76], Operations: []
Exploring Operation: 78-68=10, Resulting Numbers: [36, 76, 10]
Generated Node #2: [36, 76, 10] from Operation: 78-68=10
Current State: 50:[36, 76, 10], Operations: ['78-68=10']
Exploring Operation: 76-36=40, Resulting Numbers: [10, 40]
Generated Node #3: [10, 40] from Operation: 76-36=40
Current State: 50:[10, 40], Operations: ['78-68=10', '76-36=40']
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
65,
20,
88,
75
] | 90 | [
"75-65=10",
"20/10=2",
"88+2=90"
] | Current State: 90:[65, 20, 88, 75], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [20, 88, 10]
Generated Node #2: [20, 88, 10] from Operation: 75-65=10
Current State: 90:[20, 88, 10], Operations: ['75-65=10']
Exploring Operation: 20/10=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 20/10=2
Current State: 90:[88, 2], Operations: ['75-65=10', '20/10=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
22,
43,
82,
6
] | 67 | [
"43-22=21",
"82+6=88",
"88-21=67"
] | Current State: 67:[22, 43, 82, 6], Operations: []
Exploring Operation: 43-22=21, Resulting Numbers: [82, 6, 21]
Generated Node #2: [82, 6, 21] from Operation: 43-22=21
Current State: 67:[82, 6, 21], Operations: ['43-22=21']
Exploring Operation: 82+6=88, Resulting Numbers: [21, 88]
Generated Node #3: [21, 88] from Operation: 82+6=88
Current State: 67:[21, 88], Operations: ['43-22=21', '82+6=88']
Exploring Operation: 88-21=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
2,
64,
84,
47
] | 87 | [
"84-64=20",
"2*20=40",
"47+40=87"
] | Current State: 87:[2, 64, 84, 47], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [2, 47, 20]
Generated Node #2: [2, 47, 20] from Operation: 84-64=20
Current State: 87:[2, 47, 20], Operations: ['84-64=20']
Exploring Operation: 2*20=40, Resulting Numbers: [47, 40]
Generated Node #3: [47, 40] from Operation: 2*20=40
Current State: 87:[47, 40], Operations: ['84-64=20', '2*20=40']
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
36,
78,
35,
2
] | 32 | [
"36+35=71",
"78/2=39",
"71-39=32"
] | Current State: 32:[36, 78, 35, 2], Operations: []
Exploring Operation: 36+35=71, Resulting Numbers: [78, 2, 71]
Generated Node #2: [78, 2, 71] from Operation: 36+35=71
Current State: 32:[78, 2, 71], Operations: ['36+35=71']
Exploring Operation: 78/2=39, Resulting Numbers: [71, 39]
Generated Node #3: [71, 39] from Operation: 78/2=39
Current State: 32:[71, 39], Operations: ['36+35=71', '78/2=39']
Exploring Operation: 71-39=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
83,
32,
34,
1
] | 81 | [
"83+32=115",
"34*1=34",
"115-34=81"
] | Current State: 81:[83, 32, 34, 1], Operations: []
Exploring Operation: 83+32=115, Resulting Numbers: [34, 1, 115]
Generated Node #2: [34, 1, 115] from Operation: 83+32=115
Current State: 81:[34, 1, 115], Operations: ['83+32=115']
Exploring Operation: 34*1=34, Resulting Numbers: [115, 34]
Generated Node #3: [115, 34] from Operation: 34*1=34
Current State: 81:[115, 34], Operations: ['83+32=115', '34*1=34']
Exploring Operation: 115-34=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
30,
76,
53,
73
] | 71 | [
"30+76=106",
"106/53=2",
"73-2=71"
] | Current State: 71:[30, 76, 53, 73], Operations: []
Exploring Operation: 30+76=106, Resulting Numbers: [53, 73, 106]
Generated Node #2: [53, 73, 106] from Operation: 30+76=106
Current State: 71:[53, 73, 106], Operations: ['30+76=106']
Exploring Operation: 106/53=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 106/53=2
Current State: 71:[73, 2], Operations: ['30+76=106', '106/53=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
45,
75,
2,
70
] | 18 | [
"45*2=90",
"75-70=5",
"90/5=18"
] | Current State: 18:[45, 75, 2, 70], Operations: []
Exploring Operation: 45*2=90, Resulting Numbers: [75, 70, 90]
Generated Node #2: [75, 70, 90] from Operation: 45*2=90
Current State: 18:[75, 70, 90], Operations: ['45*2=90']
Exploring Operation: 75-70=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 75-70=5
Current State: 18:[90, 5], Operations: ['45*2=90', '75-70=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
71,
9,
9,
41
] | 30 | [
"71+9=80",
"9+41=50",
"80-50=30"
] | Current State: 30:[71, 9, 9, 41], Operations: []
Exploring Operation: 71+9=80, Resulting Numbers: [41, 80]
Generated Node #2: [41, 80] from Operation: 71+9=80
Current State: 30:[41, 80], Operations: ['71+9=80']
Exploring Operation: 9+41=50, Resulting Numbers: [80, 50]
Generated Node #3: [80, 50] from Operation: 9+41=50
Current State: 30:[80, 50], Operations: ['71+9=80', '9+41=50']
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
58,
72,
34,
38
] | 59 | [
"72-34=38",
"38/38=1",
"58+1=59"
] | Current State: 59:[58, 72, 34, 38], Operations: []
Exploring Operation: 72-34=38, Resulting Numbers: [58, 38, 38]
Generated Node #2: [58, 38, 38] from Operation: 72-34=38
Current State: 59:[58, 38, 38], Operations: ['72-34=38']
Exploring Operation: 38/38=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 38/38=1
Current State: 59:[58, 1], Operations: ['72-34=38', '38/38=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
44,
29,
42,
88
] | 73 | [
"44-42=2",
"88/2=44",
"29+44=73"
] | Current State: 73:[44, 29, 42, 88], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [29, 88, 2]
Generated Node #2: [29, 88, 2] from Operation: 44-42=2
Current State: 73:[29, 88, 2], Operations: ['44-42=2']
Exploring Operation: 88/2=44, Resulting Numbers: [29, 44]
Generated Node #3: [29, 44] from Operation: 88/2=44
Current State: 73:[29, 44], Operations: ['44-42=2', '88/2=44']
Exploring Operation: 29+44=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
87,
44,
86,
32
] | 34 | [
"87-44=43",
"86/43=2",
"32+2=34"
] | Current State: 34:[87, 44, 86, 32], Operations: []
Exploring Operation: 87-44=43, Resulting Numbers: [86, 32, 43]
Generated Node #2: [86, 32, 43] from Operation: 87-44=43
Current State: 34:[86, 32, 43], Operations: ['87-44=43']
Exploring Operation: 86/43=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 86/43=2
Current State: 34:[32, 2], Operations: ['87-44=43', '86/43=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
29,
78,
95,
23
] | 35 | [
"29+78=107",
"95-23=72",
"107-72=35"
] | Current State: 35:[29, 78, 95, 23], Operations: []
Exploring Operation: 29+78=107, Resulting Numbers: [95, 23, 107]
Generated Node #2: [95, 23, 107] from Operation: 29+78=107
Current State: 35:[95, 23, 107], Operations: ['29+78=107']
Exploring Operation: 95-23=72, Resulting Numbers: [107, 72]
Generated Node #3: [107, 72] from Operation: 95-23=72
Current State: 35:[107, 72], Operations: ['29+78=107', '95-23=72']
Exploring Operation: 107-72=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
50,
38,
24,
12
] | 52 | [
"50+38=88",
"24+12=36",
"88-36=52"
] | Current State: 52:[50, 38, 24, 12], Operations: []
Exploring Operation: 50+38=88, Resulting Numbers: [24, 12, 88]
Generated Node #2: [24, 12, 88] from Operation: 50+38=88
Current State: 52:[24, 12, 88], Operations: ['50+38=88']
Exploring Operation: 24+12=36, Resulting Numbers: [88, 36]
Generated Node #3: [88, 36] from Operation: 24+12=36
Current State: 52:[88, 36], Operations: ['50+38=88', '24+12=36']
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
42,
43,
58,
28
] | 10 | [
"58-43=15",
"28*15=420",
"420/42=10"
] | Current State: 10:[42, 43, 58, 28], Operations: []
Exploring Operation: 58-43=15, Resulting Numbers: [42, 28, 15]
Generated Node #2: [42, 28, 15] from Operation: 58-43=15
Current State: 10:[42, 28, 15], Operations: ['58-43=15']
Exploring Operation: 28*15=420, Resulting Numbers: [42, 420]
Generated Node #3: [42, 420] from Operation: 28*15=420
Current State: 10:[42, 420], Operations: ['58-43=15', '28*15=420']
Exploring Operation: 420/42=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
11,
52,
49,
20
] | 21 | [
"52*20=1040",
"1040-11=1029",
"1029/49=21"
] | Current State: 21:[11, 52, 49, 20], Operations: []
Exploring Operation: 52*20=1040, Resulting Numbers: [11, 49, 1040]
Generated Node #2: [11, 49, 1040] from Operation: 52*20=1040
Current State: 21:[11, 49, 1040], Operations: ['52*20=1040']
Exploring Operation: 1040-11=1029, Resulting Numbers: [49, 1029]
Generated Node #3: [49, 1029] from Operation: 1040-11=1029
Current State: 21:[49, 1029], Operations: ['52*20=1040', '1040-11=1029']
Exploring Operation: 1029/49=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
54,
40,
17,
91
] | 38 | [
"17+91=108",
"108/54=2",
"40-2=38"
] | Current State: 38:[54, 40, 17, 91], Operations: []
Exploring Operation: 17+91=108, Resulting Numbers: [54, 40, 108]
Generated Node #2: [54, 40, 108] from Operation: 17+91=108
Current State: 38:[54, 40, 108], Operations: ['17+91=108']
Exploring Operation: 108/54=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 108/54=2
Current State: 38:[40, 2], Operations: ['17+91=108', '108/54=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
4,
68,
9,
65
] | 91 | [
"68/4=17",
"9+65=74",
"17+74=91"
] | Current State: 91:[4, 68, 9, 65], Operations: []
Exploring Operation: 68/4=17, Resulting Numbers: [9, 65, 17]
Generated Node #2: [9, 65, 17] from Operation: 68/4=17
Current State: 91:[9, 65, 17], Operations: ['68/4=17']
Exploring Operation: 9+65=74, Resulting Numbers: [17, 74]
Generated Node #3: [17, 74] from Operation: 9+65=74
Current State: 91:[17, 74], Operations: ['68/4=17', '9+65=74']
Exploring Operation: 17+74=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
91,
39,
52,
33
] | 34 | [
"91-39=52",
"52/52=1",
"33+1=34"
] | Current State: 34:[91, 39, 52, 33], Operations: []
Exploring Operation: 91-39=52, Resulting Numbers: [52, 33, 52]
Generated Node #2: [52, 33, 52] from Operation: 91-39=52
Current State: 34:[52, 33, 52], Operations: ['91-39=52']
Exploring Operation: 52/52=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 52/52=1
Current State: 34:[33, 1], Operations: ['91-39=52', '52/52=1']
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
29,
58,
8,
73
] | 91 | [
"73-58=15",
"8*15=120",
"120-29=91"
] | Current State: 91:[29, 58, 8, 73], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [29, 8, 15]
Generated Node #2: [29, 8, 15] from Operation: 73-58=15
Current State: 91:[29, 8, 15], Operations: ['73-58=15']
Exploring Operation: 8*15=120, Resulting Numbers: [29, 120]
Generated Node #3: [29, 120] from Operation: 8*15=120
Current State: 91:[29, 120], Operations: ['73-58=15', '8*15=120']
Exploring Operation: 120-29=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
85,
43,
78,
52
] | 63 | [
"85-43=42",
"78*42=3276",
"3276/52=63"
] | Current State: 63:[85, 43, 78, 52], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [78, 52, 42]
Generated Node #2: [78, 52, 42] from Operation: 85-43=42
Current State: 63:[78, 52, 42], Operations: ['85-43=42']
Exploring Operation: 78*42=3276, Resulting Numbers: [52, 3276]
Generated Node #3: [52, 3276] from Operation: 78*42=3276
Current State: 63:[52, 3276], Operations: ['85-43=42', '78*42=3276']
Exploring Operation: 3276/52=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
3,
92,
46,
42
] | 32 | [
"42/3=14",
"92-46=46",
"46-14=32"
] | Current State: 32:[3, 92, 46, 42], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [92, 46, 14]
Generated Node #2: [92, 46, 14] from Operation: 42/3=14
Current State: 32:[92, 46, 14], Operations: ['42/3=14']
Exploring Operation: 92-46=46, Resulting Numbers: [14, 46]
Generated Node #3: [14, 46] from Operation: 92-46=46
Current State: 32:[14, 46], Operations: ['42/3=14', '92-46=46']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
35,
19,
79,
2
] | 50 | [
"35+19=54",
"79-54=25",
"2*25=50"
] | Current State: 50:[35, 19, 79, 2], Operations: []
Exploring Operation: 35+19=54, Resulting Numbers: [79, 2, 54]
Generated Node #2: [79, 2, 54] from Operation: 35+19=54
Current State: 50:[79, 2, 54], Operations: ['35+19=54']
Exploring Operation: 79-54=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 79-54=25
Current State: 50:[2, 25], Operations: ['35+19=54', '79-54=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
54,
63,
81,
53
] | 95 | [
"54*63=3402",
"3402/81=42",
"53+42=95"
] | Current State: 95:[54, 63, 81, 53], Operations: []
Exploring Operation: 54*63=3402, Resulting Numbers: [81, 53, 3402]
Generated Node #2: [81, 53, 3402] from Operation: 54*63=3402
Current State: 95:[81, 53, 3402], Operations: ['54*63=3402']
Exploring Operation: 3402/81=42, Resulting Numbers: [53, 42]
Generated Node #3: [53, 42] from Operation: 3402/81=42
Current State: 95:[53, 42], Operations: ['54*63=3402', '3402/81=42']
Exploring Operation: 53+42=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
24,
44,
30,
40
] | 76 | [
"24*40=960",
"960/30=32",
"44+32=76"
] | Current State: 76:[24, 44, 30, 40], Operations: []
Exploring Operation: 24*40=960, Resulting Numbers: [44, 30, 960]
Generated Node #2: [44, 30, 960] from Operation: 24*40=960
Current State: 76:[44, 30, 960], Operations: ['24*40=960']
Exploring Operation: 960/30=32, Resulting Numbers: [44, 32]
Generated Node #3: [44, 32] from Operation: 960/30=32
Current State: 76:[44, 32], Operations: ['24*40=960', '960/30=32']
Exploring Operation: 44+32=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
90,
44,
81,
2
] | 79 | [
"90-81=9",
"44*2=88",
"88-9=79"
] | Current State: 79:[90, 44, 81, 2], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [44, 2, 9]
Generated Node #2: [44, 2, 9] from Operation: 90-81=9
Current State: 79:[44, 2, 9], Operations: ['90-81=9']
Exploring Operation: 44*2=88, Resulting Numbers: [9, 88]
Generated Node #3: [9, 88] from Operation: 44*2=88
Current State: 79:[9, 88], Operations: ['90-81=9', '44*2=88']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
57,
14,
88,
64
] | 10 | [
"64-57=7",
"14*7=98",
"98-88=10"
] | Current State: 10:[57, 14, 88, 64], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [14, 88, 7]
Generated Node #2: [14, 88, 7] from Operation: 64-57=7
Current State: 10:[14, 88, 7], Operations: ['64-57=7']
Exploring Operation: 14*7=98, Resulting Numbers: [88, 98]
Generated Node #3: [88, 98] from Operation: 14*7=98
Current State: 10:[88, 98], Operations: ['64-57=7', '14*7=98']
Exploring Operation: 98-88=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
43,
78,
56,
38
] | 32 | [
"56-43=13",
"78/13=6",
"38-6=32"
] | Current State: 32:[43, 78, 56, 38], Operations: []
Exploring Operation: 56-43=13, Resulting Numbers: [78, 38, 13]
Generated Node #2: [78, 38, 13] from Operation: 56-43=13
Current State: 32:[78, 38, 13], Operations: ['56-43=13']
Exploring Operation: 78/13=6, Resulting Numbers: [38, 6]
Generated Node #3: [38, 6] from Operation: 78/13=6
Current State: 32:[38, 6], Operations: ['56-43=13', '78/13=6']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
68,
26,
48,
17
] | 92 | [
"68*17=1156",
"26*48=1248",
"1248-1156=92"
] | Current State: 92:[68, 26, 48, 17], Operations: []
Exploring Operation: 68*17=1156, Resulting Numbers: [26, 48, 1156]
Generated Node #2: [26, 48, 1156] from Operation: 68*17=1156
Current State: 92:[26, 48, 1156], Operations: ['68*17=1156']
Exploring Operation: 26*48=1248, Resulting Numbers: [1156, 1248]
Generated Node #3: [1156, 1248] from Operation: 26*48=1248
Current State: 92:[1156, 1248], Operations: ['68*17=1156', '26*48=1248']
Exploring Operation: 1248-1156=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
44,
28,
30,
70
] | 31 | [
"30*70=2100",
"2100/28=75",
"75-44=31"
] | Current State: 31:[44, 28, 30, 70], Operations: []
Exploring Operation: 30*70=2100, Resulting Numbers: [44, 28, 2100]
Generated Node #2: [44, 28, 2100] from Operation: 30*70=2100
Current State: 31:[44, 28, 2100], Operations: ['30*70=2100']
Exploring Operation: 2100/28=75, Resulting Numbers: [44, 75]
Generated Node #3: [44, 75] from Operation: 2100/28=75
Current State: 31:[44, 75], Operations: ['30*70=2100', '2100/28=75']
Exploring Operation: 75-44=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
27,
47,
24,
43
] | 98 | [
"27-24=3",
"47*3=141",
"141-43=98"
] | Current State: 98:[27, 47, 24, 43], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [47, 43, 3]
Generated Node #2: [47, 43, 3] from Operation: 27-24=3
Current State: 98:[47, 43, 3], Operations: ['27-24=3']
Exploring Operation: 47*3=141, Resulting Numbers: [43, 141]
Generated Node #3: [43, 141] from Operation: 47*3=141
Current State: 98:[43, 141], Operations: ['27-24=3', '47*3=141']
Exploring Operation: 141-43=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
9,
45,
53,
99
] | 59 | [
"99-45=54",
"54/9=6",
"53+6=59"
] | Current State: 59:[9, 45, 53, 99], Operations: []
Exploring Operation: 99-45=54, Resulting Numbers: [9, 53, 54]
Generated Node #2: [9, 53, 54] from Operation: 99-45=54
Current State: 59:[9, 53, 54], Operations: ['99-45=54']
Exploring Operation: 54/9=6, Resulting Numbers: [53, 6]
Generated Node #3: [53, 6] from Operation: 54/9=6
Current State: 59:[53, 6], Operations: ['99-45=54', '54/9=6']
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
28,
26,
76,
63
] | 50 | [
"28-26=2",
"63*2=126",
"126-76=50"
] | Current State: 50:[28, 26, 76, 63], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [76, 63, 2]
Generated Node #2: [76, 63, 2] from Operation: 28-26=2
Current State: 50:[76, 63, 2], Operations: ['28-26=2']
Exploring Operation: 63*2=126, Resulting Numbers: [76, 126]
Generated Node #3: [76, 126] from Operation: 63*2=126
Current State: 50:[76, 126], Operations: ['28-26=2', '63*2=126']
Exploring Operation: 126-76=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
88,
40,
1,
42
] | 43 | [
"42-40=2",
"88/2=44",
"44-1=43"
] | Current State: 43:[88, 40, 1, 42], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [88, 1, 2]
Generated Node #2: [88, 1, 2] from Operation: 42-40=2
Current State: 43:[88, 1, 2], Operations: ['42-40=2']
Exploring Operation: 88/2=44, Resulting Numbers: [1, 44]
Generated Node #3: [1, 44] from Operation: 88/2=44
Current State: 43:[1, 44], Operations: ['42-40=2', '88/2=44']
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
83,
20,
28,
9
] | 69 | [
"83+28=111",
"20*9=180",
"180-111=69"
] | Current State: 69:[83, 20, 28, 9], Operations: []
Exploring Operation: 83+28=111, Resulting Numbers: [20, 9, 111]
Generated Node #2: [20, 9, 111] from Operation: 83+28=111
Current State: 69:[20, 9, 111], Operations: ['83+28=111']
Exploring Operation: 20*9=180, Resulting Numbers: [111, 180]
Generated Node #3: [111, 180] from Operation: 20*9=180
Current State: 69:[111, 180], Operations: ['83+28=111', '20*9=180']
Exploring Operation: 180-111=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
49,
15,
61,
44
] | 51 | [
"49-15=34",
"61-44=17",
"34+17=51"
] | Current State: 51:[49, 15, 61, 44], Operations: []
Exploring Operation: 49-15=34, Resulting Numbers: [61, 44, 34]
Generated Node #2: [61, 44, 34] from Operation: 49-15=34
Current State: 51:[61, 44, 34], Operations: ['49-15=34']
Exploring Operation: 61-44=17, Resulting Numbers: [34, 17]
Generated Node #3: [34, 17] from Operation: 61-44=17
Current State: 51:[34, 17], Operations: ['49-15=34', '61-44=17']
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
53,
52,
6,
11
] | 59 | [
"53-11=42",
"42/6=7",
"52+7=59"
] | Current State: 59:[53, 52, 6, 11], Operations: []
Exploring Operation: 53-11=42, Resulting Numbers: [52, 6, 42]
Generated Node #2: [52, 6, 42] from Operation: 53-11=42
Current State: 59:[52, 6, 42], Operations: ['53-11=42']
Exploring Operation: 42/6=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 42/6=7
Current State: 59:[52, 7], Operations: ['53-11=42', '42/6=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
3,
13,
53,
11
] | 53 | [
"13-3=10",
"11-10=1",
"53*1=53"
] | Current State: 53:[3, 13, 53, 11], Operations: []
Exploring Operation: 13-3=10, Resulting Numbers: [53, 11, 10]
Generated Node #2: [53, 11, 10] from Operation: 13-3=10
Current State: 53:[53, 11, 10], Operations: ['13-3=10']
Exploring Operation: 11-10=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 11-10=1
Current State: 53:[53, 1], Operations: ['13-3=10', '11-10=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
81,
75,
13,
8
] | 98 | [
"81-75=6",
"13*8=104",
"104-6=98"
] | Current State: 98:[81, 75, 13, 8], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [13, 8, 6]
Generated Node #2: [13, 8, 6] from Operation: 81-75=6
Current State: 98:[13, 8, 6], Operations: ['81-75=6']
Exploring Operation: 13*8=104, Resulting Numbers: [6, 104]
Generated Node #3: [6, 104] from Operation: 13*8=104
Current State: 98:[6, 104], Operations: ['81-75=6', '13*8=104']
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
27,
87,
92,
29
] | 10 | [
"29-27=2",
"92-87=5",
"2*5=10"
] | Current State: 10:[27, 87, 92, 29], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [87, 92, 2]
Generated Node #2: [87, 92, 2] from Operation: 29-27=2
Current State: 10:[87, 92, 2], Operations: ['29-27=2']
Exploring Operation: 92-87=5, Resulting Numbers: [2, 5]
Generated Node #3: [2, 5] from Operation: 92-87=5
Current State: 10:[2, 5], Operations: ['29-27=2', '92-87=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
55,
99,
35,
57
] | 62 | [
"55+99=154",
"35+57=92",
"154-92=62"
] | Current State: 62:[55, 99, 35, 57], Operations: []
Exploring Operation: 55+99=154, Resulting Numbers: [35, 57, 154]
Generated Node #2: [35, 57, 154] from Operation: 55+99=154
Current State: 62:[35, 57, 154], Operations: ['55+99=154']
Exploring Operation: 35+57=92, Resulting Numbers: [154, 92]
Generated Node #3: [154, 92] from Operation: 35+57=92
Current State: 62:[154, 92], Operations: ['55+99=154', '35+57=92']
Exploring Operation: 154-92=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
7,
40,
15,
38
] | 27 | [
"7*15=105",
"40+38=78",
"105-78=27"
] | Current State: 27:[7, 40, 15, 38], Operations: []
Exploring Operation: 7*15=105, Resulting Numbers: [40, 38, 105]
Generated Node #2: [40, 38, 105] from Operation: 7*15=105
Current State: 27:[40, 38, 105], Operations: ['7*15=105']
Exploring Operation: 40+38=78, Resulting Numbers: [105, 78]
Generated Node #3: [105, 78] from Operation: 40+38=78
Current State: 27:[105, 78], Operations: ['7*15=105', '40+38=78']
Exploring Operation: 105-78=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
15,
21,
13,
1
] | 24 | [
"15+21=36",
"13-1=12",
"36-12=24"
] | Current State: 24:[15, 21, 13, 1], Operations: []
Exploring Operation: 15+21=36, Resulting Numbers: [13, 1, 36]
Generated Node #2: [13, 1, 36] from Operation: 15+21=36
Current State: 24:[13, 1, 36], Operations: ['15+21=36']
Exploring Operation: 13-1=12, Resulting Numbers: [36, 12]
Generated Node #3: [36, 12] from Operation: 13-1=12
Current State: 24:[36, 12], Operations: ['15+21=36', '13-1=12']
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
48,
7,
45,
59
] | 41 | [
"48+7=55",
"59-45=14",
"55-14=41"
] | Current State: 41:[48, 7, 45, 59], Operations: []
Exploring Operation: 48+7=55, Resulting Numbers: [45, 59, 55]
Generated Node #2: [45, 59, 55] from Operation: 48+7=55
Current State: 41:[45, 59, 55], Operations: ['48+7=55']
Exploring Operation: 59-45=14, Resulting Numbers: [55, 14]
Generated Node #3: [55, 14] from Operation: 59-45=14
Current State: 41:[55, 14], Operations: ['48+7=55', '59-45=14']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
22,
58,
7,
37
] | 39 | [
"22+7=29",
"58/29=2",
"37+2=39"
] | Current State: 39:[22, 58, 7, 37], Operations: []
Exploring Operation: 22+7=29, Resulting Numbers: [58, 37, 29]
Generated Node #2: [58, 37, 29] from Operation: 22+7=29
Current State: 39:[58, 37, 29], Operations: ['22+7=29']
Exploring Operation: 58/29=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 58/29=2
Current State: 39:[37, 2], Operations: ['22+7=29', '58/29=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
13,
2,
4,
92
] | 77 | [
"13-2=11",
"92-4=88",
"88-11=77"
] | Current State: 77:[13, 2, 4, 92], Operations: []
Exploring Operation: 13-2=11, Resulting Numbers: [4, 92, 11]
Generated Node #2: [4, 92, 11] from Operation: 13-2=11
Current State: 77:[4, 92, 11], Operations: ['13-2=11']
Exploring Operation: 92-4=88, Resulting Numbers: [11, 88]
Generated Node #3: [11, 88] from Operation: 92-4=88
Current State: 77:[11, 88], Operations: ['13-2=11', '92-4=88']
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
31,
95,
2,
9
] | 15 | [
"31+9=40",
"2*40=80",
"95-80=15"
] | Current State: 15:[31, 95, 2, 9], Operations: []
Exploring Operation: 31+9=40, Resulting Numbers: [95, 2, 40]
Generated Node #2: [95, 2, 40] from Operation: 31+9=40
Current State: 15:[95, 2, 40], Operations: ['31+9=40']
Exploring Operation: 2*40=80, Resulting Numbers: [95, 80]
Generated Node #3: [95, 80] from Operation: 2*40=80
Current State: 15:[95, 80], Operations: ['31+9=40', '2*40=80']
Exploring Operation: 95-80=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
94,
41,
43,
53
] | 44 | [
"94-41=53",
"53/53=1",
"43+1=44"
] | Current State: 44:[94, 41, 43, 53], Operations: []
Exploring Operation: 94-41=53, Resulting Numbers: [43, 53, 53]
Generated Node #2: [43, 53, 53] from Operation: 94-41=53
Current State: 44:[43, 53, 53], Operations: ['94-41=53']
Exploring Operation: 53/53=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 53/53=1
Current State: 44:[43, 1], Operations: ['94-41=53', '53/53=1']
Exploring Operation: 43+1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
42,
9,
63,
79
] | 91 | [
"42+9=51",
"63+79=142",
"142-51=91"
] | Current State: 91:[42, 9, 63, 79], Operations: []
Exploring Operation: 42+9=51, Resulting Numbers: [63, 79, 51]
Generated Node #2: [63, 79, 51] from Operation: 42+9=51
Current State: 91:[63, 79, 51], Operations: ['42+9=51']
Exploring Operation: 63+79=142, Resulting Numbers: [51, 142]
Generated Node #3: [51, 142] from Operation: 63+79=142
Current State: 91:[51, 142], Operations: ['42+9=51', '63+79=142']
Exploring Operation: 142-51=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
78,
24,
43,
1
] | 59 | [
"78+24=102",
"43*1=43",
"102-43=59"
] | Current State: 59:[78, 24, 43, 1], Operations: []
Exploring Operation: 78+24=102, Resulting Numbers: [43, 1, 102]
Generated Node #2: [43, 1, 102] from Operation: 78+24=102
Current State: 59:[43, 1, 102], Operations: ['78+24=102']
Exploring Operation: 43*1=43, Resulting Numbers: [102, 43]
Generated Node #3: [102, 43] from Operation: 43*1=43
Current State: 59:[102, 43], Operations: ['78+24=102', '43*1=43']
Exploring Operation: 102-43=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
19,
93,
23,
46
] | 97 | [
"93-19=74",
"46-23=23",
"74+23=97"
] | Current State: 97:[19, 93, 23, 46], Operations: []
Exploring Operation: 93-19=74, Resulting Numbers: [23, 46, 74]
Generated Node #2: [23, 46, 74] from Operation: 93-19=74
Current State: 97:[23, 46, 74], Operations: ['93-19=74']
Exploring Operation: 46-23=23, Resulting Numbers: [74, 23]
Generated Node #3: [74, 23] from Operation: 46-23=23
Current State: 97:[74, 23], Operations: ['93-19=74', '46-23=23']
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
29,
10,
69
] | 53 | [
"29-3=26",
"10+69=79",
"79-26=53"
] | Current State: 53:[3, 29, 10, 69], Operations: []
Exploring Operation: 29-3=26, Resulting Numbers: [10, 69, 26]
Generated Node #2: [10, 69, 26] from Operation: 29-3=26
Current State: 53:[10, 69, 26], Operations: ['29-3=26']
Exploring Operation: 10+69=79, Resulting Numbers: [26, 79]
Generated Node #3: [26, 79] from Operation: 10+69=79
Current State: 53:[26, 79], Operations: ['29-3=26', '10+69=79']
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
33,
45,
80,
4
] | 98 | [
"33+45=78",
"80/4=20",
"78+20=98"
] | Current State: 98:[33, 45, 80, 4], Operations: []
Exploring Operation: 33+45=78, Resulting Numbers: [80, 4, 78]
Generated Node #2: [80, 4, 78] from Operation: 33+45=78
Current State: 98:[80, 4, 78], Operations: ['33+45=78']
Exploring Operation: 80/4=20, Resulting Numbers: [78, 20]
Generated Node #3: [78, 20] from Operation: 80/4=20
Current State: 98:[78, 20], Operations: ['33+45=78', '80/4=20']
Exploring Operation: 78+20=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
85,
58,
14,
73
] | 60 | [
"85-58=27",
"14+73=87",
"87-27=60"
] | Current State: 60:[85, 58, 14, 73], Operations: []
Exploring Operation: 85-58=27, Resulting Numbers: [14, 73, 27]
Generated Node #2: [14, 73, 27] from Operation: 85-58=27
Current State: 60:[14, 73, 27], Operations: ['85-58=27']
Exploring Operation: 14+73=87, Resulting Numbers: [27, 87]
Generated Node #3: [27, 87] from Operation: 14+73=87
Current State: 60:[27, 87], Operations: ['85-58=27', '14+73=87']
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
36,
1,
47,
48
] | 60 | [
"36-1=35",
"47+48=95",
"95-35=60"
] | Current State: 60:[36, 1, 47, 48], Operations: []
Exploring Operation: 36-1=35, Resulting Numbers: [47, 48, 35]
Generated Node #2: [47, 48, 35] from Operation: 36-1=35
Current State: 60:[47, 48, 35], Operations: ['36-1=35']
Exploring Operation: 47+48=95, Resulting Numbers: [35, 95]
Generated Node #3: [35, 95] from Operation: 47+48=95
Current State: 60:[35, 95], Operations: ['36-1=35', '47+48=95']
Exploring Operation: 95-35=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
72,
62,
16,
64
] | 20 | [
"64-62=2",
"72/2=36",
"36-16=20"
] | Current State: 20:[72, 62, 16, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [72, 16, 2]
Generated Node #2: [72, 16, 2] from Operation: 64-62=2
Current State: 20:[72, 16, 2], Operations: ['64-62=2']
Exploring Operation: 72/2=36, Resulting Numbers: [16, 36]
Generated Node #3: [16, 36] from Operation: 72/2=36
Current State: 20:[16, 36], Operations: ['64-62=2', '72/2=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
98,
45,
39
] | 44 | [
"98-60=38",
"45-39=6",
"38+6=44"
] | Current State: 44:[60, 98, 45, 39], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [45, 39, 38]
Generated Node #2: [45, 39, 38] from Operation: 98-60=38
Current State: 44:[45, 39, 38], Operations: ['98-60=38']
Exploring Operation: 45-39=6, Resulting Numbers: [38, 6]
Generated Node #3: [38, 6] from Operation: 45-39=6
Current State: 44:[38, 6], Operations: ['98-60=38', '45-39=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
95,
83,
50,
99
] | 98 | [
"83-50=33",
"99/33=3",
"95+3=98"
] | Current State: 98:[95, 83, 50, 99], Operations: []
Exploring Operation: 83-50=33, Resulting Numbers: [95, 99, 33]
Generated Node #2: [95, 99, 33] from Operation: 83-50=33
Current State: 98:[95, 99, 33], Operations: ['83-50=33']
Exploring Operation: 99/33=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 99/33=3
Current State: 98:[95, 3], Operations: ['83-50=33', '99/33=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
15,
51,
88,
3
] | 32 | [
"15/3=5",
"88-51=37",
"37-5=32"
] | Current State: 32:[15, 51, 88, 3], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [51, 88, 5]
Generated Node #2: [51, 88, 5] from Operation: 15/3=5
Current State: 32:[51, 88, 5], Operations: ['15/3=5']
Exploring Operation: 88-51=37, Resulting Numbers: [5, 37]
Generated Node #3: [5, 37] from Operation: 88-51=37
Current State: 32:[5, 37], Operations: ['15/3=5', '88-51=37']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
7,
67,
83,
63
] | 54 | [
"7+67=74",
"83-63=20",
"74-20=54"
] | Current State: 54:[7, 67, 83, 63], Operations: []
Exploring Operation: 7+67=74, Resulting Numbers: [83, 63, 74]
Generated Node #2: [83, 63, 74] from Operation: 7+67=74
Current State: 54:[83, 63, 74], Operations: ['7+67=74']
Exploring Operation: 83-63=20, Resulting Numbers: [74, 20]
Generated Node #3: [74, 20] from Operation: 83-63=20
Current State: 54:[74, 20], Operations: ['7+67=74', '83-63=20']
Exploring Operation: 74-20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
88,
5,
13,
32
] | 43 | [
"13-5=8",
"88/8=11",
"32+11=43"
] | Current State: 43:[88, 5, 13, 32], Operations: []
Exploring Operation: 13-5=8, Resulting Numbers: [88, 32, 8]
Generated Node #2: [88, 32, 8] from Operation: 13-5=8
Current State: 43:[88, 32, 8], Operations: ['13-5=8']
Exploring Operation: 88/8=11, Resulting Numbers: [32, 11]
Generated Node #3: [32, 11] from Operation: 88/8=11
Current State: 43:[32, 11], Operations: ['13-5=8', '88/8=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
40,
64,
36,
84
] | 56 | [
"40+64=104",
"84-36=48",
"104-48=56"
] | Current State: 56:[40, 64, 36, 84], Operations: []
Exploring Operation: 40+64=104, Resulting Numbers: [36, 84, 104]
Generated Node #2: [36, 84, 104] from Operation: 40+64=104
Current State: 56:[36, 84, 104], Operations: ['40+64=104']
Exploring Operation: 84-36=48, Resulting Numbers: [104, 48]
Generated Node #3: [104, 48] from Operation: 84-36=48
Current State: 56:[104, 48], Operations: ['40+64=104', '84-36=48']
Exploring Operation: 104-48=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
67,
12,
73,
11
] | 66 | [
"67+12=79",
"79-73=6",
"11*6=66"
] | Current State: 66:[67, 12, 73, 11], Operations: []
Exploring Operation: 67+12=79, Resulting Numbers: [73, 11, 79]
Generated Node #2: [73, 11, 79] from Operation: 67+12=79
Current State: 66:[73, 11, 79], Operations: ['67+12=79']
Exploring Operation: 79-73=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 79-73=6
Current State: 66:[11, 6], Operations: ['67+12=79', '79-73=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
15,
41,
54,
3
] | 50 | [
"15*3=45",
"41+54=95",
"95-45=50"
] | Current State: 50:[15, 41, 54, 3], Operations: []
Exploring Operation: 15*3=45, Resulting Numbers: [41, 54, 45]
Generated Node #2: [41, 54, 45] from Operation: 15*3=45
Current State: 50:[41, 54, 45], Operations: ['15*3=45']
Exploring Operation: 41+54=95, Resulting Numbers: [45, 95]
Generated Node #3: [45, 95] from Operation: 41+54=95
Current State: 50:[45, 95], Operations: ['15*3=45', '41+54=95']
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
40,
5,
19,
40
] | 67 | [
"40/5=8",
"19+40=59",
"8+59=67"
] | Current State: 67:[40, 5, 19, 40], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [19, 8]
Generated Node #2: [19, 8] from Operation: 40/5=8
Current State: 67:[19, 8], Operations: ['40/5=8']
Exploring Operation: 19+40=59, Resulting Numbers: [8, 59]
Generated Node #3: [8, 59] from Operation: 19+40=59
Current State: 67:[8, 59], Operations: ['40/5=8', '19+40=59']
Exploring Operation: 8+59=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
91,
87,
40,
46
] | 24 | [
"91-87=4",
"46-40=6",
"4*6=24"
] | Current State: 24:[91, 87, 40, 46], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [40, 46, 4]
Generated Node #2: [40, 46, 4] from Operation: 91-87=4
Current State: 24:[40, 46, 4], Operations: ['91-87=4']
Exploring Operation: 46-40=6, Resulting Numbers: [4, 6]
Generated Node #3: [4, 6] from Operation: 46-40=6
Current State: 24:[4, 6], Operations: ['91-87=4', '46-40=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
15,
95,
17,
33
] | 31 | [
"17-15=2",
"95-33=62",
"62/2=31"
] | Current State: 31:[15, 95, 17, 33], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [95, 33, 2]
Generated Node #2: [95, 33, 2] from Operation: 17-15=2
Current State: 31:[95, 33, 2], Operations: ['17-15=2']
Exploring Operation: 95-33=62, Resulting Numbers: [2, 62]
Generated Node #3: [2, 62] from Operation: 95-33=62
Current State: 31:[2, 62], Operations: ['17-15=2', '95-33=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
26,
15,
29,
23
] | 24 | [
"29-26=3",
"23-15=8",
"3*8=24"
] | Current State: 24:[26, 15, 29, 23], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [15, 23, 3]
Generated Node #2: [15, 23, 3] from Operation: 29-26=3
Current State: 24:[15, 23, 3], Operations: ['29-26=3']
Exploring Operation: 23-15=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 23-15=8
Current State: 24:[3, 8], Operations: ['29-26=3', '23-15=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
60,
6,
80,
58
] | 48 | [
"6+58=64",
"60*64=3840",
"3840/80=48"
] | Current State: 48:[60, 6, 80, 58], Operations: []
Exploring Operation: 6+58=64, Resulting Numbers: [60, 80, 64]
Generated Node #2: [60, 80, 64] from Operation: 6+58=64
Current State: 48:[60, 80, 64], Operations: ['6+58=64']
Exploring Operation: 60*64=3840, Resulting Numbers: [80, 3840]
Generated Node #3: [80, 3840] from Operation: 60*64=3840
Current State: 48:[80, 3840], Operations: ['6+58=64', '60*64=3840']
Exploring Operation: 3840/80=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
52,
51,
76,
8
] | 48 | [
"76-52=24",
"24/8=3",
"51-3=48"
] | Current State: 48:[52, 51, 76, 8], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [51, 8, 24]
Generated Node #2: [51, 8, 24] from Operation: 76-52=24
Current State: 48:[51, 8, 24], Operations: ['76-52=24']
Exploring Operation: 24/8=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 24/8=3
Current State: 48:[51, 3], Operations: ['76-52=24', '24/8=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
33,
37,
13,
39
] | 22 | [
"37-33=4",
"39-13=26",
"26-4=22"
] | Current State: 22:[33, 37, 13, 39], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [13, 39, 4]
Generated Node #2: [13, 39, 4] from Operation: 37-33=4
Current State: 22:[13, 39, 4], Operations: ['37-33=4']
Exploring Operation: 39-13=26, Resulting Numbers: [4, 26]
Generated Node #3: [4, 26] from Operation: 39-13=26
Current State: 22:[4, 26], Operations: ['37-33=4', '39-13=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
56,
10,
48,
32
] | 20 | [
"56-32=24",
"10*48=480",
"480/24=20"
] | Current State: 20:[56, 10, 48, 32], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [10, 48, 24]
Generated Node #2: [10, 48, 24] from Operation: 56-32=24
Current State: 20:[10, 48, 24], Operations: ['56-32=24']
Exploring Operation: 10*48=480, Resulting Numbers: [24, 480]
Generated Node #3: [24, 480] from Operation: 10*48=480
Current State: 20:[24, 480], Operations: ['56-32=24', '10*48=480']
Exploring Operation: 480/24=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
93,
9,
99,
62
] | 93 | [
"99-93=6",
"9*62=558",
"558/6=93"
] | Current State: 93:[93, 9, 99, 62], Operations: []
Exploring Operation: 99-93=6, Resulting Numbers: [9, 62, 6]
Generated Node #2: [9, 62, 6] from Operation: 99-93=6
Current State: 93:[9, 62, 6], Operations: ['99-93=6']
Exploring Operation: 9*62=558, Resulting Numbers: [6, 558]
Generated Node #3: [6, 558] from Operation: 9*62=558
Current State: 93:[6, 558], Operations: ['99-93=6', '9*62=558']
Exploring Operation: 558/6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
32,
92,
8,
92
] | 25 | [
"32-8=24",
"92/92=1",
"24+1=25"
] | Current State: 25:[32, 92, 8, 92], Operations: []
Exploring Operation: 32-8=24, Resulting Numbers: [92, 92, 24]
Generated Node #2: [92, 92, 24] from Operation: 32-8=24
Current State: 25:[92, 92, 24], Operations: ['32-8=24']
Exploring Operation: 92/92=1, Resulting Numbers: [24, 1]
Generated Node #3: [24, 1] from Operation: 92/92=1
Current State: 25:[24, 1], Operations: ['32-8=24', '92/92=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
47,
79,
3,
3
] | 71 | [
"47+3=50",
"3*50=150",
"150-79=71"
] | Current State: 71:[47, 79, 3, 3], Operations: []
Exploring Operation: 47+3=50, Resulting Numbers: [79, 50]
Generated Node #2: [79, 50] from Operation: 47+3=50
Current State: 71:[79, 50], Operations: ['47+3=50']
Exploring Operation: 3*50=150, Resulting Numbers: [79, 150]
Generated Node #3: [79, 150] from Operation: 3*50=150
Current State: 71:[79, 150], Operations: ['47+3=50', '3*50=150']
Exploring Operation: 150-79=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
16,
23,
27,
14
] | 72 | [
"27-23=4",
"14*4=56",
"16+56=72"
] | Current State: 72:[16, 23, 27, 14], Operations: []
Exploring Operation: 27-23=4, Resulting Numbers: [16, 14, 4]
Generated Node #2: [16, 14, 4] from Operation: 27-23=4
Current State: 72:[16, 14, 4], Operations: ['27-23=4']
Exploring Operation: 14*4=56, Resulting Numbers: [16, 56]
Generated Node #3: [16, 56] from Operation: 14*4=56
Current State: 72:[16, 56], Operations: ['27-23=4', '14*4=56']
Exploring Operation: 16+56=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
76,
32,
66,
42
] | 100 | [
"76-66=10",
"42-32=10",
"10*10=100"
] | Current State: 100:[76, 32, 66, 42], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [32, 42, 10]
Generated Node #2: [32, 42, 10] from Operation: 76-66=10
Current State: 100:[32, 42, 10], Operations: ['76-66=10']
Exploring Operation: 42-32=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 42-32=10
Current State: 100:[10, 10], Operations: ['76-66=10', '42-32=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
93,
85,
23,
27
] | 97 | [
"85+23=108",
"108/27=4",
"93+4=97"
] | Current State: 97:[93, 85, 23, 27], Operations: []
Exploring Operation: 85+23=108, Resulting Numbers: [93, 27, 108]
Generated Node #2: [93, 27, 108] from Operation: 85+23=108
Current State: 97:[93, 27, 108], Operations: ['85+23=108']
Exploring Operation: 108/27=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 108/27=4
Current State: 97:[93, 4], Operations: ['85+23=108', '108/27=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
53,
79,
44,
81
] | 78 | [
"53+79=132",
"132/44=3",
"81-3=78"
] | Current State: 78:[53, 79, 44, 81], Operations: []
Exploring Operation: 53+79=132, Resulting Numbers: [44, 81, 132]
Generated Node #2: [44, 81, 132] from Operation: 53+79=132
Current State: 78:[44, 81, 132], Operations: ['53+79=132']
Exploring Operation: 132/44=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 132/44=3
Current State: 78:[81, 3], Operations: ['53+79=132', '132/44=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
14,
83,
1,
80
] | 56 | [
"83+1=84",
"84-80=4",
"14*4=56"
] | Current State: 56:[14, 83, 1, 80], Operations: []
Exploring Operation: 83+1=84, Resulting Numbers: [14, 80, 84]
Generated Node #2: [14, 80, 84] from Operation: 83+1=84
Current State: 56:[14, 80, 84], Operations: ['83+1=84']
Exploring Operation: 84-80=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 84-80=4
Current State: 56:[14, 4], Operations: ['83+1=84', '84-80=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
60,
5,
88,
2
] | 64 | [
"60/5=12",
"2*12=24",
"88-24=64"
] | Current State: 64:[60, 5, 88, 2], Operations: []
Exploring Operation: 60/5=12, Resulting Numbers: [88, 2, 12]
Generated Node #2: [88, 2, 12] from Operation: 60/5=12
Current State: 64:[88, 2, 12], Operations: ['60/5=12']
Exploring Operation: 2*12=24, Resulting Numbers: [88, 24]
Generated Node #3: [88, 24] from Operation: 2*12=24
Current State: 64:[88, 24], Operations: ['60/5=12', '2*12=24']
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
36,
54,
5,
72
] | 64 | [
"72/36=2",
"5*2=10",
"54+10=64"
] | Current State: 64:[36, 54, 5, 72], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [54, 5, 2]
Generated Node #2: [54, 5, 2] from Operation: 72/36=2
Current State: 64:[54, 5, 2], Operations: ['72/36=2']
Exploring Operation: 5*2=10, Resulting Numbers: [54, 10]
Generated Node #3: [54, 10] from Operation: 5*2=10
Current State: 64:[54, 10], Operations: ['72/36=2', '5*2=10']
Exploring Operation: 54+10=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
27,
1,
85,
27
] | 31 | [
"27*1=27",
"85-27=58",
"58-27=31"
] | Current State: 31:[27, 1, 85, 27], Operations: []
Exploring Operation: 27*1=27, Resulting Numbers: [85, 27]
Generated Node #2: [85, 27] from Operation: 27*1=27
Current State: 31:[85, 27], Operations: ['27*1=27']
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,31 equal: Goal Reached
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
55,
36,
56,
86
] | 50 | [
"56-55=1",
"86-36=50",
"1*50=50"
] | Current State: 50:[55, 36, 56, 86], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [36, 86, 1]
Generated Node #2: [36, 86, 1] from Operation: 56-55=1
Current State: 50:[36, 86, 1], Operations: ['56-55=1']
Exploring Operation: 86-36=50, Resulting Numbers: [1, 50]
Generated Node #3: [1, 50] from Operation: 86-36=50
Current State: 50:[1, 50], Operations: ['56-55=1', '86-36=50']
Exploring Operation: 1*50=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
18,
69,
66,
5
] | 26 | [
"18+69=87",
"66-5=61",
"87-61=26"
] | Current State: 26:[18, 69, 66, 5], Operations: []
Exploring Operation: 18+69=87, Resulting Numbers: [66, 5, 87]
Generated Node #2: [66, 5, 87] from Operation: 18+69=87
Current State: 26:[66, 5, 87], Operations: ['18+69=87']
Exploring Operation: 66-5=61, Resulting Numbers: [87, 61]
Generated Node #3: [87, 61] from Operation: 66-5=61
Current State: 26:[87, 61], Operations: ['18+69=87', '66-5=61']
Exploring Operation: 87-61=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
16,
24,
18,
74
] | 22 | [
"24-18=6",
"16*6=96",
"96-74=22"
] | Current State: 22:[16, 24, 18, 74], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [16, 74, 6]
Generated Node #2: [16, 74, 6] from Operation: 24-18=6
Current State: 22:[16, 74, 6], Operations: ['24-18=6']
Exploring Operation: 16*6=96, Resulting Numbers: [74, 96]
Generated Node #3: [74, 96] from Operation: 16*6=96
Current State: 22:[74, 96], Operations: ['24-18=6', '16*6=96']
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
18,
70,
79,
42
] | 33 | [
"18+70=88",
"79+42=121",
"121-88=33"
] | Current State: 33:[18, 70, 79, 42], Operations: []
Exploring Operation: 18+70=88, Resulting Numbers: [79, 42, 88]
Generated Node #2: [79, 42, 88] from Operation: 18+70=88
Current State: 33:[79, 42, 88], Operations: ['18+70=88']
Exploring Operation: 79+42=121, Resulting Numbers: [88, 121]
Generated Node #3: [88, 121] from Operation: 79+42=121
Current State: 33:[88, 121], Operations: ['18+70=88', '79+42=121']
Exploring Operation: 121-88=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
18,
50,
99,
32
] | 63 | [
"18+50=68",
"99+32=131",
"131-68=63"
] | Current State: 63:[18, 50, 99, 32], Operations: []
Exploring Operation: 18+50=68, Resulting Numbers: [99, 32, 68]
Generated Node #2: [99, 32, 68] from Operation: 18+50=68
Current State: 63:[99, 32, 68], Operations: ['18+50=68']
Exploring Operation: 99+32=131, Resulting Numbers: [68, 131]
Generated Node #3: [68, 131] from Operation: 99+32=131
Current State: 63:[68, 131], Operations: ['18+50=68', '99+32=131']
Exploring Operation: 131-68=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
32,
21,
87,
72
] | 38 | [
"32+21=53",
"87-72=15",
"53-15=38"
] | Current State: 38:[32, 21, 87, 72], Operations: []
Exploring Operation: 32+21=53, Resulting Numbers: [87, 72, 53]
Generated Node #2: [87, 72, 53] from Operation: 32+21=53
Current State: 38:[87, 72, 53], Operations: ['32+21=53']
Exploring Operation: 87-72=15, Resulting Numbers: [53, 15]
Generated Node #3: [53, 15] from Operation: 87-72=15
Current State: 38:[53, 15], Operations: ['32+21=53', '87-72=15']
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
7,
80,
6,
76
] | 12 | [
"7+6=13",
"80+76=156",
"156/13=12"
] | Current State: 12:[7, 80, 6, 76], Operations: []
Exploring Operation: 7+6=13, Resulting Numbers: [80, 76, 13]
Generated Node #2: [80, 76, 13] from Operation: 7+6=13
Current State: 12:[80, 76, 13], Operations: ['7+6=13']
Exploring Operation: 80+76=156, Resulting Numbers: [13, 156]
Generated Node #3: [13, 156] from Operation: 80+76=156
Current State: 12:[13, 156], Operations: ['7+6=13', '80+76=156']
Exploring Operation: 156/13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
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