nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
17,
62,
89,
56
] | 46 | [
"17+62=79",
"89-56=33",
"79-33=46"
] | Current State: 46:[17, 62, 89, 56], Operations: []
Exploring Operation: 17+62=79, Resulting Numbers: [89, 56, 79]
Generated Node #2: [89, 56, 79] from Operation: 17+62=79
Current State: 46:[89, 56, 79], Operations: ['17+62=79']
Exploring Operation: 89-56=33, Resulting Numbers: [79, 33]
Generated Node #3: [79, 33] from Operation: 89-56=33
Current State: 46:[79, 33], Operations: ['17+62=79', '89-56=33']
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
67,
68,
42,
20
] | 63 | [
"68-67=1",
"42+20=62",
"1+62=63"
] | Current State: 63:[67, 68, 42, 20], Operations: []
Exploring Operation: 68-67=1, Resulting Numbers: [42, 20, 1]
Generated Node #2: [42, 20, 1] from Operation: 68-67=1
Current State: 63:[42, 20, 1], Operations: ['68-67=1']
Exploring Operation: 42+20=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 42+20=62
Current State: 63:[1, 62], Operations: ['68-67=1', '42+20=62']
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
84,
23,
42,
74
] | 60 | [
"84/42=2",
"74/2=37",
"23+37=60"
] | Current State: 60:[84, 23, 42, 74], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [23, 74, 2]
Generated Node #2: [23, 74, 2] from Operation: 84/42=2
Current State: 60:[23, 74, 2], Operations: ['84/42=2']
Exploring Operation: 74/2=37, Resulting Numbers: [23, 37]
Generated Node #3: [23, 37] from Operation: 74/2=37
Current State: 60:[23, 37], Operations: ['84/42=2', '74/2=37']
Exploring Operation: 23+37=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
17,
49,
70,
5
] | 43 | [
"49-17=32",
"70+5=75",
"75-32=43"
] | Current State: 43:[17, 49, 70, 5], Operations: []
Exploring Operation: 49-17=32, Resulting Numbers: [70, 5, 32]
Generated Node #2: [70, 5, 32] from Operation: 49-17=32
Current State: 43:[70, 5, 32], Operations: ['49-17=32']
Exploring Operation: 70+5=75, Resulting Numbers: [32, 75]
Generated Node #3: [32, 75] from Operation: 70+5=75
Current State: 43:[32, 75], Operations: ['49-17=32', '70+5=75']
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
28,
4,
25,
28
] | 60 | [
"28/4=7",
"25+28=53",
"7+53=60"
] | Current State: 60:[28, 4, 25, 28], Operations: []
Exploring Operation: 28/4=7, Resulting Numbers: [25, 7]
Generated Node #2: [25, 7] from Operation: 28/4=7
Current State: 60:[25, 7], Operations: ['28/4=7']
Exploring Operation: 25+28=53, Resulting Numbers: [7, 53]
Generated Node #3: [7, 53] from Operation: 25+28=53
Current State: 60:[7, 53], Operations: ['28/4=7', '25+28=53']
Exploring Operation: 7+53=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
77,
94,
38,
81
] | 18 | [
"77+94=171",
"38*81=3078",
"3078/171=18"
] | Current State: 18:[77, 94, 38, 81], Operations: []
Exploring Operation: 77+94=171, Resulting Numbers: [38, 81, 171]
Generated Node #2: [38, 81, 171] from Operation: 77+94=171
Current State: 18:[38, 81, 171], Operations: ['77+94=171']
Exploring Operation: 38*81=3078, Resulting Numbers: [171, 3078]
Generated Node #3: [171, 3078] from Operation: 38*81=3078
Current State: 18:[171, 3078], Operations: ['77+94=171', '38*81=3078']
Exploring Operation: 3078/171=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
34,
10,
20,
19
] | 83 | [
"34+10=44",
"20+19=39",
"44+39=83"
] | Current State: 83:[34, 10, 20, 19], Operations: []
Exploring Operation: 34+10=44, Resulting Numbers: [20, 19, 44]
Generated Node #2: [20, 19, 44] from Operation: 34+10=44
Current State: 83:[20, 19, 44], Operations: ['34+10=44']
Exploring Operation: 20+19=39, Resulting Numbers: [44, 39]
Generated Node #3: [44, 39] from Operation: 20+19=39
Current State: 83:[44, 39], Operations: ['34+10=44', '20+19=39']
Exploring Operation: 44+39=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
88,
72,
53,
26
] | 33 | [
"53-26=27",
"88*27=2376",
"2376/72=33"
] | Current State: 33:[88, 72, 53, 26], Operations: []
Exploring Operation: 53-26=27, Resulting Numbers: [88, 72, 27]
Generated Node #2: [88, 72, 27] from Operation: 53-26=27
Current State: 33:[88, 72, 27], Operations: ['53-26=27']
Exploring Operation: 88*27=2376, Resulting Numbers: [72, 2376]
Generated Node #3: [72, 2376] from Operation: 88*27=2376
Current State: 33:[72, 2376], Operations: ['53-26=27', '88*27=2376']
Exploring Operation: 2376/72=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
38,
91,
66,
47
] | 93 | [
"66-47=19",
"38/19=2",
"91+2=93"
] | Current State: 93:[38, 91, 66, 47], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [38, 91, 19]
Generated Node #2: [38, 91, 19] from Operation: 66-47=19
Current State: 93:[38, 91, 19], Operations: ['66-47=19']
Exploring Operation: 38/19=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 38/19=2
Current State: 93:[91, 2], Operations: ['66-47=19', '38/19=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
3,
44,
8,
78
] | 46 | [
"3*44=132",
"8+78=86",
"132-86=46"
] | Current State: 46:[3, 44, 8, 78], Operations: []
Exploring Operation: 3*44=132, Resulting Numbers: [8, 78, 132]
Generated Node #2: [8, 78, 132] from Operation: 3*44=132
Current State: 46:[8, 78, 132], Operations: ['3*44=132']
Exploring Operation: 8+78=86, Resulting Numbers: [132, 86]
Generated Node #3: [132, 86] from Operation: 8+78=86
Current State: 46:[132, 86], Operations: ['3*44=132', '8+78=86']
Exploring Operation: 132-86=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
37,
32,
69,
30
] | 63 | [
"37-32=5",
"30/5=6",
"69-6=63"
] | Current State: 63:[37, 32, 69, 30], Operations: []
Exploring Operation: 37-32=5, Resulting Numbers: [69, 30, 5]
Generated Node #2: [69, 30, 5] from Operation: 37-32=5
Current State: 63:[69, 30, 5], Operations: ['37-32=5']
Exploring Operation: 30/5=6, Resulting Numbers: [69, 6]
Generated Node #3: [69, 6] from Operation: 30/5=6
Current State: 63:[69, 6], Operations: ['37-32=5', '30/5=6']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
78,
15,
74,
94
] | 73 | [
"78+15=93",
"94-74=20",
"93-20=73"
] | Current State: 73:[78, 15, 74, 94], Operations: []
Exploring Operation: 78+15=93, Resulting Numbers: [74, 94, 93]
Generated Node #2: [74, 94, 93] from Operation: 78+15=93
Current State: 73:[74, 94, 93], Operations: ['78+15=93']
Exploring Operation: 94-74=20, Resulting Numbers: [93, 20]
Generated Node #3: [93, 20] from Operation: 94-74=20
Current State: 73:[93, 20], Operations: ['78+15=93', '94-74=20']
Exploring Operation: 93-20=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
9,
67,
33,
1
] | 42 | [
"9+67=76",
"33+1=34",
"76-34=42"
] | Current State: 42:[9, 67, 33, 1], Operations: []
Exploring Operation: 9+67=76, Resulting Numbers: [33, 1, 76]
Generated Node #2: [33, 1, 76] from Operation: 9+67=76
Current State: 42:[33, 1, 76], Operations: ['9+67=76']
Exploring Operation: 33+1=34, Resulting Numbers: [76, 34]
Generated Node #3: [76, 34] from Operation: 33+1=34
Current State: 42:[76, 34], Operations: ['9+67=76', '33+1=34']
Exploring Operation: 76-34=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
34,
44,
55,
43
] | 99 | [
"43-34=9",
"55-44=11",
"9*11=99"
] | Current State: 99:[34, 44, 55, 43], Operations: []
Exploring Operation: 43-34=9, Resulting Numbers: [44, 55, 9]
Generated Node #2: [44, 55, 9] from Operation: 43-34=9
Current State: 99:[44, 55, 9], Operations: ['43-34=9']
Exploring Operation: 55-44=11, Resulting Numbers: [9, 11]
Generated Node #3: [9, 11] from Operation: 55-44=11
Current State: 99:[9, 11], Operations: ['43-34=9', '55-44=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
8,
18,
43,
32
] | 15 | [
"8+18=26",
"43-32=11",
"26-11=15"
] | Current State: 15:[8, 18, 43, 32], Operations: []
Exploring Operation: 8+18=26, Resulting Numbers: [43, 32, 26]
Generated Node #2: [43, 32, 26] from Operation: 8+18=26
Current State: 15:[43, 32, 26], Operations: ['8+18=26']
Exploring Operation: 43-32=11, Resulting Numbers: [26, 11]
Generated Node #3: [26, 11] from Operation: 43-32=11
Current State: 15:[26, 11], Operations: ['8+18=26', '43-32=11']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
17,
55,
54,
59
] | 33 | [
"55-17=38",
"59-54=5",
"38-5=33"
] | Current State: 33:[17, 55, 54, 59], Operations: []
Exploring Operation: 55-17=38, Resulting Numbers: [54, 59, 38]
Generated Node #2: [54, 59, 38] from Operation: 55-17=38
Current State: 33:[54, 59, 38], Operations: ['55-17=38']
Exploring Operation: 59-54=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 59-54=5
Current State: 33:[38, 5], Operations: ['55-17=38', '59-54=5']
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
86,
56,
6,
43
] | 59 | [
"86/43=2",
"6/2=3",
"56+3=59"
] | Current State: 59:[86, 56, 6, 43], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [56, 6, 2]
Generated Node #2: [56, 6, 2] from Operation: 86/43=2
Current State: 59:[56, 6, 2], Operations: ['86/43=2']
Exploring Operation: 6/2=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 6/2=3
Current State: 59:[56, 3], Operations: ['86/43=2', '6/2=3']
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
56,
78,
2,
25
] | 16 | [
"56-25=31",
"2*31=62",
"78-62=16"
] | Current State: 16:[56, 78, 2, 25], Operations: []
Exploring Operation: 56-25=31, Resulting Numbers: [78, 2, 31]
Generated Node #2: [78, 2, 31] from Operation: 56-25=31
Current State: 16:[78, 2, 31], Operations: ['56-25=31']
Exploring Operation: 2*31=62, Resulting Numbers: [78, 62]
Generated Node #3: [78, 62] from Operation: 2*31=62
Current State: 16:[78, 62], Operations: ['56-25=31', '2*31=62']
Exploring Operation: 78-62=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
97,
94,
16,
24
] | 24 | [
"97-94=3",
"24-16=8",
"3*8=24"
] | Current State: 24:[97, 94, 16, 24], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [16, 24, 3]
Generated Node #2: [16, 24, 3] from Operation: 97-94=3
Current State: 24:[16, 24, 3], Operations: ['97-94=3']
Exploring Operation: 24-16=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 24-16=8
Current State: 24:[3, 8], Operations: ['97-94=3', '24-16=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
78,
73,
1,
4
] | 60 | [
"73-1=72",
"72/4=18",
"78-18=60"
] | Current State: 60:[78, 73, 1, 4], Operations: []
Exploring Operation: 73-1=72, Resulting Numbers: [78, 4, 72]
Generated Node #2: [78, 4, 72] from Operation: 73-1=72
Current State: 60:[78, 4, 72], Operations: ['73-1=72']
Exploring Operation: 72/4=18, Resulting Numbers: [78, 18]
Generated Node #3: [78, 18] from Operation: 72/4=18
Current State: 60:[78, 18], Operations: ['73-1=72', '72/4=18']
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
63,
43,
58,
86
] | 10 | [
"63-58=5",
"86/43=2",
"5*2=10"
] | Current State: 10:[63, 43, 58, 86], Operations: []
Exploring Operation: 63-58=5, Resulting Numbers: [43, 86, 5]
Generated Node #2: [43, 86, 5] from Operation: 63-58=5
Current State: 10:[43, 86, 5], Operations: ['63-58=5']
Exploring Operation: 86/43=2, Resulting Numbers: [5, 2]
Generated Node #3: [5, 2] from Operation: 86/43=2
Current State: 10:[5, 2], Operations: ['63-58=5', '86/43=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
25,
10,
50,
25
] | 50 | [
"25-25=0",
"10*0=0",
"50+0=50"
] | Current State: 50:[25, 10, 50, 25], Operations: []
Exploring Operation: 25-25=0, Resulting Numbers: [10, 50, 0]
Generated Node #2: [10, 50, 0] from Operation: 25-25=0
Current State: 50:[10, 50, 0], Operations: ['25-25=0']
Exploring Operation: 10*0=0, Resulting Numbers: [50, 0]
Generated Node #3: [50, 0] from Operation: 10*0=0
Current State: 50:[50, 0], Operations: ['25-25=0', '10*0=0']
Exploring Operation: 50+0=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
10,
55,
2,
70
] | 18 | [
"55*2=110",
"70+110=180",
"180/10=18"
] | Current State: 18:[10, 55, 2, 70], Operations: []
Exploring Operation: 55*2=110, Resulting Numbers: [10, 70, 110]
Generated Node #2: [10, 70, 110] from Operation: 55*2=110
Current State: 18:[10, 70, 110], Operations: ['55*2=110']
Exploring Operation: 70+110=180, Resulting Numbers: [10, 180]
Generated Node #3: [10, 180] from Operation: 70+110=180
Current State: 18:[10, 180], Operations: ['55*2=110', '70+110=180']
Exploring Operation: 180/10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
2,
29,
36,
39
] | 34 | [
"2+29=31",
"39-36=3",
"31+3=34"
] | Current State: 34:[2, 29, 36, 39], Operations: []
Exploring Operation: 2+29=31, Resulting Numbers: [36, 39, 31]
Generated Node #2: [36, 39, 31] from Operation: 2+29=31
Current State: 34:[36, 39, 31], Operations: ['2+29=31']
Exploring Operation: 39-36=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 39-36=3
Current State: 34:[31, 3], Operations: ['2+29=31', '39-36=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
32,
4,
12,
40
] | 24 | [
"32-4=28",
"12+40=52",
"52-28=24"
] | Current State: 24:[32, 4, 12, 40], Operations: []
Exploring Operation: 32-4=28, Resulting Numbers: [12, 40, 28]
Generated Node #2: [12, 40, 28] from Operation: 32-4=28
Current State: 24:[12, 40, 28], Operations: ['32-4=28']
Exploring Operation: 12+40=52, Resulting Numbers: [28, 52]
Generated Node #3: [28, 52] from Operation: 12+40=52
Current State: 24:[28, 52], Operations: ['32-4=28', '12+40=52']
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
25,
81,
31,
84
] | 54 | [
"25+31=56",
"81*56=4536",
"4536/84=54"
] | Current State: 54:[25, 81, 31, 84], Operations: []
Exploring Operation: 25+31=56, Resulting Numbers: [81, 84, 56]
Generated Node #2: [81, 84, 56] from Operation: 25+31=56
Current State: 54:[81, 84, 56], Operations: ['25+31=56']
Exploring Operation: 81*56=4536, Resulting Numbers: [84, 4536]
Generated Node #3: [84, 4536] from Operation: 81*56=4536
Current State: 54:[84, 4536], Operations: ['25+31=56', '81*56=4536']
Exploring Operation: 4536/84=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
85,
11,
58,
19
] | 57 | [
"85+11=96",
"58-19=39",
"96-39=57"
] | Current State: 57:[85, 11, 58, 19], Operations: []
Exploring Operation: 85+11=96, Resulting Numbers: [58, 19, 96]
Generated Node #2: [58, 19, 96] from Operation: 85+11=96
Current State: 57:[58, 19, 96], Operations: ['85+11=96']
Exploring Operation: 58-19=39, Resulting Numbers: [96, 39]
Generated Node #3: [96, 39] from Operation: 58-19=39
Current State: 57:[96, 39], Operations: ['85+11=96', '58-19=39']
Exploring Operation: 96-39=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
42,
40,
95,
91
] | 56 | [
"42+91=133",
"40*133=5320",
"5320/95=56"
] | Current State: 56:[42, 40, 95, 91], Operations: []
Exploring Operation: 42+91=133, Resulting Numbers: [40, 95, 133]
Generated Node #2: [40, 95, 133] from Operation: 42+91=133
Current State: 56:[40, 95, 133], Operations: ['42+91=133']
Exploring Operation: 40*133=5320, Resulting Numbers: [95, 5320]
Generated Node #3: [95, 5320] from Operation: 40*133=5320
Current State: 56:[95, 5320], Operations: ['42+91=133', '40*133=5320']
Exploring Operation: 5320/95=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
7,
89,
11,
14
] | 58 | [
"7+89=96",
"11*14=154",
"154-96=58"
] | Current State: 58:[7, 89, 11, 14], Operations: []
Exploring Operation: 7+89=96, Resulting Numbers: [11, 14, 96]
Generated Node #2: [11, 14, 96] from Operation: 7+89=96
Current State: 58:[11, 14, 96], Operations: ['7+89=96']
Exploring Operation: 11*14=154, Resulting Numbers: [96, 154]
Generated Node #3: [96, 154] from Operation: 11*14=154
Current State: 58:[96, 154], Operations: ['7+89=96', '11*14=154']
Exploring Operation: 154-96=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
88,
51,
79,
91
] | 25 | [
"88-51=37",
"91-79=12",
"37-12=25"
] | Current State: 25:[88, 51, 79, 91], Operations: []
Exploring Operation: 88-51=37, Resulting Numbers: [79, 91, 37]
Generated Node #2: [79, 91, 37] from Operation: 88-51=37
Current State: 25:[79, 91, 37], Operations: ['88-51=37']
Exploring Operation: 91-79=12, Resulting Numbers: [37, 12]
Generated Node #3: [37, 12] from Operation: 91-79=12
Current State: 25:[37, 12], Operations: ['88-51=37', '91-79=12']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
76,
81,
26,
89
] | 23 | [
"81-76=5",
"26+89=115",
"115/5=23"
] | Current State: 23:[76, 81, 26, 89], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [26, 89, 5]
Generated Node #2: [26, 89, 5] from Operation: 81-76=5
Current State: 23:[26, 89, 5], Operations: ['81-76=5']
Exploring Operation: 26+89=115, Resulting Numbers: [5, 115]
Generated Node #3: [5, 115] from Operation: 26+89=115
Current State: 23:[5, 115], Operations: ['81-76=5', '26+89=115']
Exploring Operation: 115/5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
50,
8,
3,
2
] | 99 | [
"50/2=25",
"8+25=33",
"3*33=99"
] | Current State: 99:[50, 8, 3, 2], Operations: []
Exploring Operation: 50/2=25, Resulting Numbers: [8, 3, 25]
Generated Node #2: [8, 3, 25] from Operation: 50/2=25
Current State: 99:[8, 3, 25], Operations: ['50/2=25']
Exploring Operation: 8+25=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 8+25=33
Current State: 99:[3, 33], Operations: ['50/2=25', '8+25=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
65,
54,
27,
55
] | 12 | [
"65-55=10",
"54/27=2",
"10+2=12"
] | Current State: 12:[65, 54, 27, 55], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [54, 27, 10]
Generated Node #2: [54, 27, 10] from Operation: 65-55=10
Current State: 12:[54, 27, 10], Operations: ['65-55=10']
Exploring Operation: 54/27=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 54/27=2
Current State: 12:[10, 2], Operations: ['65-55=10', '54/27=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
62,
98,
99
] | 31 | [
"62-32=30",
"99-98=1",
"30+1=31"
] | Current State: 31:[32, 62, 98, 99], Operations: []
Exploring Operation: 62-32=30, Resulting Numbers: [98, 99, 30]
Generated Node #2: [98, 99, 30] from Operation: 62-32=30
Current State: 31:[98, 99, 30], Operations: ['62-32=30']
Exploring Operation: 99-98=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 99-98=1
Current State: 31:[30, 1], Operations: ['62-32=30', '99-98=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
8,
61,
4,
68
] | 69 | [
"68-4=64",
"64/8=8",
"61+8=69"
] | Current State: 69:[8, 61, 4, 68], Operations: []
Exploring Operation: 68-4=64, Resulting Numbers: [8, 61, 64]
Generated Node #2: [8, 61, 64] from Operation: 68-4=64
Current State: 69:[8, 61, 64], Operations: ['68-4=64']
Exploring Operation: 64/8=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 64/8=8
Current State: 69:[61, 8], Operations: ['68-4=64', '64/8=8']
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
46,
37,
25,
61
] | 46 | [
"37+25=62",
"62-61=1",
"46*1=46"
] | Current State: 46:[46, 37, 25, 61], Operations: []
Exploring Operation: 37+25=62, Resulting Numbers: [46, 61, 62]
Generated Node #2: [46, 61, 62] from Operation: 37+25=62
Current State: 46:[46, 61, 62], Operations: ['37+25=62']
Exploring Operation: 62-61=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 62-61=1
Current State: 46:[46, 1], Operations: ['37+25=62', '62-61=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
79,
17,
37,
65
] | 73 | [
"37+65=102",
"102/17=6",
"79-6=73"
] | Current State: 73:[79, 17, 37, 65], Operations: []
Exploring Operation: 37+65=102, Resulting Numbers: [79, 17, 102]
Generated Node #2: [79, 17, 102] from Operation: 37+65=102
Current State: 73:[79, 17, 102], Operations: ['37+65=102']
Exploring Operation: 102/17=6, Resulting Numbers: [79, 6]
Generated Node #3: [79, 6] from Operation: 102/17=6
Current State: 73:[79, 6], Operations: ['37+65=102', '102/17=6']
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
10,
36,
5,
25
] | 72 | [
"10*36=360",
"25/5=5",
"360/5=72"
] | Current State: 72:[10, 36, 5, 25], Operations: []
Exploring Operation: 10*36=360, Resulting Numbers: [5, 25, 360]
Generated Node #2: [5, 25, 360] from Operation: 10*36=360
Current State: 72:[5, 25, 360], Operations: ['10*36=360']
Exploring Operation: 25/5=5, Resulting Numbers: [360, 5]
Generated Node #3: [360, 5] from Operation: 25/5=5
Current State: 72:[360, 5], Operations: ['10*36=360', '25/5=5']
Exploring Operation: 360/5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
6,
88,
99,
38
] | 33 | [
"6+88=94",
"99-38=61",
"94-61=33"
] | Current State: 33:[6, 88, 99, 38], Operations: []
Exploring Operation: 6+88=94, Resulting Numbers: [99, 38, 94]
Generated Node #2: [99, 38, 94] from Operation: 6+88=94
Current State: 33:[99, 38, 94], Operations: ['6+88=94']
Exploring Operation: 99-38=61, Resulting Numbers: [94, 61]
Generated Node #3: [94, 61] from Operation: 99-38=61
Current State: 33:[94, 61], Operations: ['6+88=94', '99-38=61']
Exploring Operation: 94-61=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
45,
63,
97,
12
] | 23 | [
"45+63=108",
"97-12=85",
"108-85=23"
] | Current State: 23:[45, 63, 97, 12], Operations: []
Exploring Operation: 45+63=108, Resulting Numbers: [97, 12, 108]
Generated Node #2: [97, 12, 108] from Operation: 45+63=108
Current State: 23:[97, 12, 108], Operations: ['45+63=108']
Exploring Operation: 97-12=85, Resulting Numbers: [108, 85]
Generated Node #3: [108, 85] from Operation: 97-12=85
Current State: 23:[108, 85], Operations: ['45+63=108', '97-12=85']
Exploring Operation: 108-85=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
6,
68,
79,
75
] | 78 | [
"6+68=74",
"79-75=4",
"74+4=78"
] | Current State: 78:[6, 68, 79, 75], Operations: []
Exploring Operation: 6+68=74, Resulting Numbers: [79, 75, 74]
Generated Node #2: [79, 75, 74] from Operation: 6+68=74
Current State: 78:[79, 75, 74], Operations: ['6+68=74']
Exploring Operation: 79-75=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 79-75=4
Current State: 78:[74, 4], Operations: ['6+68=74', '79-75=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
70,
64,
7,
12
] | 90 | [
"70-64=6",
"7*12=84",
"6+84=90"
] | Current State: 90:[70, 64, 7, 12], Operations: []
Exploring Operation: 70-64=6, Resulting Numbers: [7, 12, 6]
Generated Node #2: [7, 12, 6] from Operation: 70-64=6
Current State: 90:[7, 12, 6], Operations: ['70-64=6']
Exploring Operation: 7*12=84, Resulting Numbers: [6, 84]
Generated Node #3: [6, 84] from Operation: 7*12=84
Current State: 90:[6, 84], Operations: ['70-64=6', '7*12=84']
Exploring Operation: 6+84=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
12,
26,
25,
62
] | 64 | [
"25-12=13",
"26/13=2",
"62+2=64"
] | Current State: 64:[12, 26, 25, 62], Operations: []
Exploring Operation: 25-12=13, Resulting Numbers: [26, 62, 13]
Generated Node #2: [26, 62, 13] from Operation: 25-12=13
Current State: 64:[26, 62, 13], Operations: ['25-12=13']
Exploring Operation: 26/13=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 26/13=2
Current State: 64:[62, 2], Operations: ['25-12=13', '26/13=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
50,
44,
74,
45
] | 23 | [
"50-44=6",
"74-45=29",
"29-6=23"
] | Current State: 23:[50, 44, 74, 45], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [74, 45, 6]
Generated Node #2: [74, 45, 6] from Operation: 50-44=6
Current State: 23:[74, 45, 6], Operations: ['50-44=6']
Exploring Operation: 74-45=29, Resulting Numbers: [6, 29]
Generated Node #3: [6, 29] from Operation: 74-45=29
Current State: 23:[6, 29], Operations: ['50-44=6', '74-45=29']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
24,
94,
37,
84
] | 23 | [
"94-24=70",
"84-37=47",
"70-47=23"
] | Current State: 23:[24, 94, 37, 84], Operations: []
Exploring Operation: 94-24=70, Resulting Numbers: [37, 84, 70]
Generated Node #2: [37, 84, 70] from Operation: 94-24=70
Current State: 23:[37, 84, 70], Operations: ['94-24=70']
Exploring Operation: 84-37=47, Resulting Numbers: [70, 47]
Generated Node #3: [70, 47] from Operation: 84-37=47
Current State: 23:[70, 47], Operations: ['94-24=70', '84-37=47']
Exploring Operation: 70-47=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
67,
22,
25
] | 61 | [
"67-3=64",
"25-22=3",
"64-3=61"
] | Current State: 61:[3, 67, 22, 25], Operations: []
Exploring Operation: 67-3=64, Resulting Numbers: [22, 25, 64]
Generated Node #2: [22, 25, 64] from Operation: 67-3=64
Current State: 61:[22, 25, 64], Operations: ['67-3=64']
Exploring Operation: 25-22=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 25-22=3
Current State: 61:[64, 3], Operations: ['67-3=64', '25-22=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
8,
27,
6,
80
] | 67 | [
"27-8=19",
"6+80=86",
"86-19=67"
] | Current State: 67:[8, 27, 6, 80], Operations: []
Exploring Operation: 27-8=19, Resulting Numbers: [6, 80, 19]
Generated Node #2: [6, 80, 19] from Operation: 27-8=19
Current State: 67:[6, 80, 19], Operations: ['27-8=19']
Exploring Operation: 6+80=86, Resulting Numbers: [19, 86]
Generated Node #3: [19, 86] from Operation: 6+80=86
Current State: 67:[19, 86], Operations: ['27-8=19', '6+80=86']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
3,
73,
25,
15
] | 47 | [
"25+15=40",
"3*40=120",
"120-73=47"
] | Current State: 47:[3, 73, 25, 15], Operations: []
Exploring Operation: 25+15=40, Resulting Numbers: [3, 73, 40]
Generated Node #2: [3, 73, 40] from Operation: 25+15=40
Current State: 47:[3, 73, 40], Operations: ['25+15=40']
Exploring Operation: 3*40=120, Resulting Numbers: [73, 120]
Generated Node #3: [73, 120] from Operation: 3*40=120
Current State: 47:[73, 120], Operations: ['25+15=40', '3*40=120']
Exploring Operation: 120-73=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
16,
10,
59,
90
] | 54 | [
"90-10=80",
"80/16=5",
"59-5=54"
] | Current State: 54:[16, 10, 59, 90], Operations: []
Exploring Operation: 90-10=80, Resulting Numbers: [16, 59, 80]
Generated Node #2: [16, 59, 80] from Operation: 90-10=80
Current State: 54:[16, 59, 80], Operations: ['90-10=80']
Exploring Operation: 80/16=5, Resulting Numbers: [59, 5]
Generated Node #3: [59, 5] from Operation: 80/16=5
Current State: 54:[59, 5], Operations: ['90-10=80', '80/16=5']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
85,
65,
96,
70
] | 79 | [
"70-65=5",
"85/5=17",
"96-17=79"
] | Current State: 79:[85, 65, 96, 70], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [85, 96, 5]
Generated Node #2: [85, 96, 5] from Operation: 70-65=5
Current State: 79:[85, 96, 5], Operations: ['70-65=5']
Exploring Operation: 85/5=17, Resulting Numbers: [96, 17]
Generated Node #3: [96, 17] from Operation: 85/5=17
Current State: 79:[96, 17], Operations: ['70-65=5', '85/5=17']
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
84,
22,
20,
97
] | 95 | [
"22+20=42",
"84/42=2",
"97-2=95"
] | Current State: 95:[84, 22, 20, 97], Operations: []
Exploring Operation: 22+20=42, Resulting Numbers: [84, 97, 42]
Generated Node #2: [84, 97, 42] from Operation: 22+20=42
Current State: 95:[84, 97, 42], Operations: ['22+20=42']
Exploring Operation: 84/42=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 84/42=2
Current State: 95:[97, 2], Operations: ['22+20=42', '84/42=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
21,
16,
32,
60
] | 51 | [
"32/16=2",
"60/2=30",
"21+30=51"
] | Current State: 51:[21, 16, 32, 60], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [21, 60, 2]
Generated Node #2: [21, 60, 2] from Operation: 32/16=2
Current State: 51:[21, 60, 2], Operations: ['32/16=2']
Exploring Operation: 60/2=30, Resulting Numbers: [21, 30]
Generated Node #3: [21, 30] from Operation: 60/2=30
Current State: 51:[21, 30], Operations: ['32/16=2', '60/2=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
53,
23,
79,
60
] | 11 | [
"53-23=30",
"79-60=19",
"30-19=11"
] | Current State: 11:[53, 23, 79, 60], Operations: []
Exploring Operation: 53-23=30, Resulting Numbers: [79, 60, 30]
Generated Node #2: [79, 60, 30] from Operation: 53-23=30
Current State: 11:[79, 60, 30], Operations: ['53-23=30']
Exploring Operation: 79-60=19, Resulting Numbers: [30, 19]
Generated Node #3: [30, 19] from Operation: 79-60=19
Current State: 11:[30, 19], Operations: ['53-23=30', '79-60=19']
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
1,
6,
9,
14
] | 99 | [
"1+14=15",
"6*15=90",
"9+90=99"
] | Current State: 99:[1, 6, 9, 14], Operations: []
Exploring Operation: 1+14=15, Resulting Numbers: [6, 9, 15]
Generated Node #2: [6, 9, 15] from Operation: 1+14=15
Current State: 99:[6, 9, 15], Operations: ['1+14=15']
Exploring Operation: 6*15=90, Resulting Numbers: [9, 90]
Generated Node #3: [9, 90] from Operation: 6*15=90
Current State: 99:[9, 90], Operations: ['1+14=15', '6*15=90']
Exploring Operation: 9+90=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
58,
9,
52,
64
] | 10 | [
"58-52=6",
"9*6=54",
"64-54=10"
] | Current State: 10:[58, 9, 52, 64], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [9, 64, 6]
Generated Node #2: [9, 64, 6] from Operation: 58-52=6
Current State: 10:[9, 64, 6], Operations: ['58-52=6']
Exploring Operation: 9*6=54, Resulting Numbers: [64, 54]
Generated Node #3: [64, 54] from Operation: 9*6=54
Current State: 10:[64, 54], Operations: ['58-52=6', '9*6=54']
Exploring Operation: 64-54=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
10,
92,
44,
78
] | 61 | [
"92+78=170",
"170/10=17",
"44+17=61"
] | Current State: 61:[10, 92, 44, 78], Operations: []
Exploring Operation: 92+78=170, Resulting Numbers: [10, 44, 170]
Generated Node #2: [10, 44, 170] from Operation: 92+78=170
Current State: 61:[10, 44, 170], Operations: ['92+78=170']
Exploring Operation: 170/10=17, Resulting Numbers: [44, 17]
Generated Node #3: [44, 17] from Operation: 170/10=17
Current State: 61:[44, 17], Operations: ['92+78=170', '170/10=17']
Exploring Operation: 44+17=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
41,
29,
34,
22
] | 44 | [
"41-29=12",
"34+22=56",
"56-12=44"
] | Current State: 44:[41, 29, 34, 22], Operations: []
Exploring Operation: 41-29=12, Resulting Numbers: [34, 22, 12]
Generated Node #2: [34, 22, 12] from Operation: 41-29=12
Current State: 44:[34, 22, 12], Operations: ['41-29=12']
Exploring Operation: 34+22=56, Resulting Numbers: [12, 56]
Generated Node #3: [12, 56] from Operation: 34+22=56
Current State: 44:[12, 56], Operations: ['41-29=12', '34+22=56']
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
1,
77,
90,
81
] | 87 | [
"1+77=78",
"90-81=9",
"78+9=87"
] | Current State: 87:[1, 77, 90, 81], Operations: []
Exploring Operation: 1+77=78, Resulting Numbers: [90, 81, 78]
Generated Node #2: [90, 81, 78] from Operation: 1+77=78
Current State: 87:[90, 81, 78], Operations: ['1+77=78']
Exploring Operation: 90-81=9, Resulting Numbers: [78, 9]
Generated Node #3: [78, 9] from Operation: 90-81=9
Current State: 87:[78, 9], Operations: ['1+77=78', '90-81=9']
Exploring Operation: 78+9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
9,
75,
88,
72
] | 76 | [
"9+75=84",
"88+72=160",
"160-84=76"
] | Current State: 76:[9, 75, 88, 72], Operations: []
Exploring Operation: 9+75=84, Resulting Numbers: [88, 72, 84]
Generated Node #2: [88, 72, 84] from Operation: 9+75=84
Current State: 76:[88, 72, 84], Operations: ['9+75=84']
Exploring Operation: 88+72=160, Resulting Numbers: [84, 160]
Generated Node #3: [84, 160] from Operation: 88+72=160
Current State: 76:[84, 160], Operations: ['9+75=84', '88+72=160']
Exploring Operation: 160-84=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
55,
9,
6,
86
] | 86 | [
"9*6=54",
"55-54=1",
"86*1=86"
] | Current State: 86:[55, 9, 6, 86], Operations: []
Exploring Operation: 9*6=54, Resulting Numbers: [55, 86, 54]
Generated Node #2: [55, 86, 54] from Operation: 9*6=54
Current State: 86:[55, 86, 54], Operations: ['9*6=54']
Exploring Operation: 55-54=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 55-54=1
Current State: 86:[86, 1], Operations: ['9*6=54', '55-54=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
3,
7,
48,
51
] | 39 | [
"7-3=4",
"48/4=12",
"51-12=39"
] | Current State: 39:[3, 7, 48, 51], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [48, 51, 4]
Generated Node #2: [48, 51, 4] from Operation: 7-3=4
Current State: 39:[48, 51, 4], Operations: ['7-3=4']
Exploring Operation: 48/4=12, Resulting Numbers: [51, 12]
Generated Node #3: [51, 12] from Operation: 48/4=12
Current State: 39:[51, 12], Operations: ['7-3=4', '48/4=12']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
43,
61,
89,
61
] | 43 | [
"61-61=0",
"89*0=0",
"43+0=43"
] | Current State: 43:[43, 61, 89, 61], Operations: []
Exploring Operation: 61-61=0, Resulting Numbers: [43, 89, 0]
Generated Node #2: [43, 89, 0] from Operation: 61-61=0
Current State: 43:[43, 89, 0], Operations: ['61-61=0']
Exploring Operation: 89*0=0, Resulting Numbers: [43, 0]
Generated Node #3: [43, 0] from Operation: 89*0=0
Current State: 43:[43, 0], Operations: ['61-61=0', '89*0=0']
Exploring Operation: 43+0=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
20,
64,
76,
89
] | 95 | [
"89-64=25",
"76*25=1900",
"1900/20=95"
] | Current State: 95:[20, 64, 76, 89], Operations: []
Exploring Operation: 89-64=25, Resulting Numbers: [20, 76, 25]
Generated Node #2: [20, 76, 25] from Operation: 89-64=25
Current State: 95:[20, 76, 25], Operations: ['89-64=25']
Exploring Operation: 76*25=1900, Resulting Numbers: [20, 1900]
Generated Node #3: [20, 1900] from Operation: 76*25=1900
Current State: 95:[20, 1900], Operations: ['89-64=25', '76*25=1900']
Exploring Operation: 1900/20=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
2,
17,
30,
23
] | 55 | [
"30/2=15",
"17+23=40",
"15+40=55"
] | Current State: 55:[2, 17, 30, 23], Operations: []
Exploring Operation: 30/2=15, Resulting Numbers: [17, 23, 15]
Generated Node #2: [17, 23, 15] from Operation: 30/2=15
Current State: 55:[17, 23, 15], Operations: ['30/2=15']
Exploring Operation: 17+23=40, Resulting Numbers: [15, 40]
Generated Node #3: [15, 40] from Operation: 17+23=40
Current State: 55:[15, 40], Operations: ['30/2=15', '17+23=40']
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
87,
60,
20,
23
] | 30 | [
"87-60=27",
"23-20=3",
"27+3=30"
] | Current State: 30:[87, 60, 20, 23], Operations: []
Exploring Operation: 87-60=27, Resulting Numbers: [20, 23, 27]
Generated Node #2: [20, 23, 27] from Operation: 87-60=27
Current State: 30:[20, 23, 27], Operations: ['87-60=27']
Exploring Operation: 23-20=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 23-20=3
Current State: 30:[27, 3], Operations: ['87-60=27', '23-20=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
45,
8,
71,
76
] | 24 | [
"45+71=116",
"76+116=192",
"192/8=24"
] | Current State: 24:[45, 8, 71, 76], Operations: []
Exploring Operation: 45+71=116, Resulting Numbers: [8, 76, 116]
Generated Node #2: [8, 76, 116] from Operation: 45+71=116
Current State: 24:[8, 76, 116], Operations: ['45+71=116']
Exploring Operation: 76+116=192, Resulting Numbers: [8, 192]
Generated Node #3: [8, 192] from Operation: 76+116=192
Current State: 24:[8, 192], Operations: ['45+71=116', '76+116=192']
Exploring Operation: 192/8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
21,
28,
1,
74
] | 25 | [
"21+28=49",
"1*74=74",
"74-49=25"
] | Current State: 25:[21, 28, 1, 74], Operations: []
Exploring Operation: 21+28=49, Resulting Numbers: [1, 74, 49]
Generated Node #2: [1, 74, 49] from Operation: 21+28=49
Current State: 25:[1, 74, 49], Operations: ['21+28=49']
Exploring Operation: 1*74=74, Resulting Numbers: [49, 74]
Generated Node #3: [49, 74] from Operation: 1*74=74
Current State: 25:[49, 74], Operations: ['21+28=49', '1*74=74']
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
1,
11,
10,
27
] | 33 | [
"10-1=9",
"11*27=297",
"297/9=33"
] | Current State: 33:[1, 11, 10, 27], Operations: []
Exploring Operation: 10-1=9, Resulting Numbers: [11, 27, 9]
Generated Node #2: [11, 27, 9] from Operation: 10-1=9
Current State: 33:[11, 27, 9], Operations: ['10-1=9']
Exploring Operation: 11*27=297, Resulting Numbers: [9, 297]
Generated Node #3: [9, 297] from Operation: 11*27=297
Current State: 33:[9, 297], Operations: ['10-1=9', '11*27=297']
Exploring Operation: 297/9=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
69,
68,
70,
19
] | 90 | [
"69-68=1",
"70+19=89",
"1+89=90"
] | Current State: 90:[69, 68, 70, 19], Operations: []
Exploring Operation: 69-68=1, Resulting Numbers: [70, 19, 1]
Generated Node #2: [70, 19, 1] from Operation: 69-68=1
Current State: 90:[70, 19, 1], Operations: ['69-68=1']
Exploring Operation: 70+19=89, Resulting Numbers: [1, 89]
Generated Node #3: [1, 89] from Operation: 70+19=89
Current State: 90:[1, 89], Operations: ['69-68=1', '70+19=89']
Exploring Operation: 1+89=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
57,
51,
4,
76
] | 46 | [
"57+51=108",
"76+108=184",
"184/4=46"
] | Current State: 46:[57, 51, 4, 76], Operations: []
Exploring Operation: 57+51=108, Resulting Numbers: [4, 76, 108]
Generated Node #2: [4, 76, 108] from Operation: 57+51=108
Current State: 46:[4, 76, 108], Operations: ['57+51=108']
Exploring Operation: 76+108=184, Resulting Numbers: [4, 184]
Generated Node #3: [4, 184] from Operation: 76+108=184
Current State: 46:[4, 184], Operations: ['57+51=108', '76+108=184']
Exploring Operation: 184/4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
1,
16,
54,
5
] | 26 | [
"1*16=16",
"5*16=80",
"80-54=26"
] | Current State: 26:[1, 16, 54, 5], Operations: []
Exploring Operation: 1*16=16, Resulting Numbers: [54, 5, 16]
Generated Node #2: [54, 5, 16] from Operation: 1*16=16
Current State: 26:[54, 5, 16], Operations: ['1*16=16']
Exploring Operation: 5*16=80, Resulting Numbers: [54, 80]
Generated Node #3: [54, 80] from Operation: 5*16=80
Current State: 26:[54, 80], Operations: ['1*16=16', '5*16=80']
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
14,
29,
39,
17
] | 33 | [
"39+17=56",
"56/14=4",
"29+4=33"
] | Current State: 33:[14, 29, 39, 17], Operations: []
Exploring Operation: 39+17=56, Resulting Numbers: [14, 29, 56]
Generated Node #2: [14, 29, 56] from Operation: 39+17=56
Current State: 33:[14, 29, 56], Operations: ['39+17=56']
Exploring Operation: 56/14=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 56/14=4
Current State: 33:[29, 4], Operations: ['39+17=56', '56/14=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
3,
62,
76,
29
] | 97 | [
"76+29=105",
"105/3=35",
"62+35=97"
] | Current State: 97:[3, 62, 76, 29], Operations: []
Exploring Operation: 76+29=105, Resulting Numbers: [3, 62, 105]
Generated Node #2: [3, 62, 105] from Operation: 76+29=105
Current State: 97:[3, 62, 105], Operations: ['76+29=105']
Exploring Operation: 105/3=35, Resulting Numbers: [62, 35]
Generated Node #3: [62, 35] from Operation: 105/3=35
Current State: 97:[62, 35], Operations: ['76+29=105', '105/3=35']
Exploring Operation: 62+35=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
96,
98,
22,
8
] | 19 | [
"98-96=2",
"22/2=11",
"8+11=19"
] | Current State: 19:[96, 98, 22, 8], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [22, 8, 2]
Generated Node #2: [22, 8, 2] from Operation: 98-96=2
Current State: 19:[22, 8, 2], Operations: ['98-96=2']
Exploring Operation: 22/2=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 22/2=11
Current State: 19:[8, 11], Operations: ['98-96=2', '22/2=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
75,
30,
76,
2
] | 28 | [
"76-75=1",
"30-2=28",
"1*28=28"
] | Current State: 28:[75, 30, 76, 2], Operations: []
Exploring Operation: 76-75=1, Resulting Numbers: [30, 2, 1]
Generated Node #2: [30, 2, 1] from Operation: 76-75=1
Current State: 28:[30, 2, 1], Operations: ['76-75=1']
Exploring Operation: 30-2=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 30-2=28
Current State: 28:[1, 28], Operations: ['76-75=1', '30-2=28']
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
16,
97,
13,
2
] | 91 | [
"16-13=3",
"2*3=6",
"97-6=91"
] | Current State: 91:[16, 97, 13, 2], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [97, 2, 3]
Generated Node #2: [97, 2, 3] from Operation: 16-13=3
Current State: 91:[97, 2, 3], Operations: ['16-13=3']
Exploring Operation: 2*3=6, Resulting Numbers: [97, 6]
Generated Node #3: [97, 6] from Operation: 2*3=6
Current State: 91:[97, 6], Operations: ['16-13=3', '2*3=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
32,
11,
24,
35
] | 89 | [
"35-24=11",
"11*11=121",
"121-32=89"
] | Current State: 89:[32, 11, 24, 35], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [32, 11, 11]
Generated Node #2: [32, 11, 11] from Operation: 35-24=11
Current State: 89:[32, 11, 11], Operations: ['35-24=11']
Exploring Operation: 11*11=121, Resulting Numbers: [32, 121]
Generated Node #3: [32, 121] from Operation: 11*11=121
Current State: 89:[32, 121], Operations: ['35-24=11', '11*11=121']
Exploring Operation: 121-32=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
92,
97,
96,
47
] | 91 | [
"96-92=4",
"47*4=188",
"188-97=91"
] | Current State: 91:[92, 97, 96, 47], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [97, 47, 4]
Generated Node #2: [97, 47, 4] from Operation: 96-92=4
Current State: 91:[97, 47, 4], Operations: ['96-92=4']
Exploring Operation: 47*4=188, Resulting Numbers: [97, 188]
Generated Node #3: [97, 188] from Operation: 47*4=188
Current State: 91:[97, 188], Operations: ['96-92=4', '47*4=188']
Exploring Operation: 188-97=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
28,
88,
24,
4
] | 26 | [
"28-24=4",
"88/4=22",
"4+22=26"
] | Current State: 26:[28, 88, 24, 4], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [88, 4, 4]
Generated Node #2: [88, 4, 4] from Operation: 28-24=4
Current State: 26:[88, 4, 4], Operations: ['28-24=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,26 equal: Goal Reached
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
73,
84,
34,
79
] | 48 | [
"79-73=6",
"84/6=14",
"34+14=48"
] | Current State: 48:[73, 84, 34, 79], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [84, 34, 6]
Generated Node #2: [84, 34, 6] from Operation: 79-73=6
Current State: 48:[84, 34, 6], Operations: ['79-73=6']
Exploring Operation: 84/6=14, Resulting Numbers: [34, 14]
Generated Node #3: [34, 14] from Operation: 84/6=14
Current State: 48:[34, 14], Operations: ['79-73=6', '84/6=14']
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
28,
47,
2,
11
] | 28 | [
"47-28=19",
"11-2=9",
"19+9=28"
] | Current State: 28:[28, 47, 2, 11], Operations: []
Exploring Operation: 47-28=19, Resulting Numbers: [2, 11, 19]
Generated Node #2: [2, 11, 19] from Operation: 47-28=19
Current State: 28:[2, 11, 19], Operations: ['47-28=19']
Exploring Operation: 11-2=9, Resulting Numbers: [19, 9]
Generated Node #3: [19, 9] from Operation: 11-2=9
Current State: 28:[19, 9], Operations: ['47-28=19', '11-2=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
59,
53,
70,
6
] | 48 | [
"59+53=112",
"70-6=64",
"112-64=48"
] | Current State: 48:[59, 53, 70, 6], Operations: []
Exploring Operation: 59+53=112, Resulting Numbers: [70, 6, 112]
Generated Node #2: [70, 6, 112] from Operation: 59+53=112
Current State: 48:[70, 6, 112], Operations: ['59+53=112']
Exploring Operation: 70-6=64, Resulting Numbers: [112, 64]
Generated Node #3: [112, 64] from Operation: 70-6=64
Current State: 48:[112, 64], Operations: ['59+53=112', '70-6=64']
Exploring Operation: 112-64=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
40,
21,
47,
31
] | 43 | [
"31-21=10",
"40/10=4",
"47-4=43"
] | Current State: 43:[40, 21, 47, 31], Operations: []
Exploring Operation: 31-21=10, Resulting Numbers: [40, 47, 10]
Generated Node #2: [40, 47, 10] from Operation: 31-21=10
Current State: 43:[40, 47, 10], Operations: ['31-21=10']
Exploring Operation: 40/10=4, Resulting Numbers: [47, 4]
Generated Node #3: [47, 4] from Operation: 40/10=4
Current State: 43:[47, 4], Operations: ['31-21=10', '40/10=4']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
78,
8,
1,
29
] | 57 | [
"78+8=86",
"1*29=29",
"86-29=57"
] | Current State: 57:[78, 8, 1, 29], Operations: []
Exploring Operation: 78+8=86, Resulting Numbers: [1, 29, 86]
Generated Node #2: [1, 29, 86] from Operation: 78+8=86
Current State: 57:[1, 29, 86], Operations: ['78+8=86']
Exploring Operation: 1*29=29, Resulting Numbers: [86, 29]
Generated Node #3: [86, 29] from Operation: 1*29=29
Current State: 57:[86, 29], Operations: ['78+8=86', '1*29=29']
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
81,
3,
79,
26
] | 79 | [
"81/3=27",
"27-26=1",
"79*1=79"
] | Current State: 79:[81, 3, 79, 26], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [79, 26, 27]
Generated Node #2: [79, 26, 27] from Operation: 81/3=27
Current State: 79:[79, 26, 27], Operations: ['81/3=27']
Exploring Operation: 27-26=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 27-26=1
Current State: 79:[79, 1], Operations: ['81/3=27', '27-26=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
34,
29,
15,
80
] | 31 | [
"34-29=5",
"80/5=16",
"15+16=31"
] | Current State: 31:[34, 29, 15, 80], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [15, 80, 5]
Generated Node #2: [15, 80, 5] from Operation: 34-29=5
Current State: 31:[15, 80, 5], Operations: ['34-29=5']
Exploring Operation: 80/5=16, Resulting Numbers: [15, 16]
Generated Node #3: [15, 16] from Operation: 80/5=16
Current State: 31:[15, 16], Operations: ['34-29=5', '80/5=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
33,
87,
97,
30
] | 39 | [
"33*87=2871",
"97*30=2910",
"2910-2871=39"
] | Current State: 39:[33, 87, 97, 30], Operations: []
Exploring Operation: 33*87=2871, Resulting Numbers: [97, 30, 2871]
Generated Node #2: [97, 30, 2871] from Operation: 33*87=2871
Current State: 39:[97, 30, 2871], Operations: ['33*87=2871']
Exploring Operation: 97*30=2910, Resulting Numbers: [2871, 2910]
Generated Node #3: [2871, 2910] from Operation: 97*30=2910
Current State: 39:[2871, 2910], Operations: ['33*87=2871', '97*30=2910']
Exploring Operation: 2910-2871=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
52,
22,
67,
68
] | 74 | [
"52+22=74",
"68-67=1",
"74*1=74"
] | Current State: 74:[52, 22, 67, 68], Operations: []
Exploring Operation: 52+22=74, Resulting Numbers: [67, 68, 74]
Generated Node #2: [67, 68, 74] from Operation: 52+22=74
Current State: 74:[67, 68, 74], Operations: ['52+22=74']
Exploring Operation: 68-67=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 68-67=1
Current State: 74:[74, 1], Operations: ['52+22=74', '68-67=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
9,
27,
14,
73
] | 77 | [
"27-9=18",
"73-14=59",
"18+59=77"
] | Current State: 77:[9, 27, 14, 73], Operations: []
Exploring Operation: 27-9=18, Resulting Numbers: [14, 73, 18]
Generated Node #2: [14, 73, 18] from Operation: 27-9=18
Current State: 77:[14, 73, 18], Operations: ['27-9=18']
Exploring Operation: 73-14=59, Resulting Numbers: [18, 59]
Generated Node #3: [18, 59] from Operation: 73-14=59
Current State: 77:[18, 59], Operations: ['27-9=18', '73-14=59']
Exploring Operation: 18+59=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
24,
61,
93,
78
] | 70 | [
"24+61=85",
"93-78=15",
"85-15=70"
] | Current State: 70:[24, 61, 93, 78], Operations: []
Exploring Operation: 24+61=85, Resulting Numbers: [93, 78, 85]
Generated Node #2: [93, 78, 85] from Operation: 24+61=85
Current State: 70:[93, 78, 85], Operations: ['24+61=85']
Exploring Operation: 93-78=15, Resulting Numbers: [85, 15]
Generated Node #3: [85, 15] from Operation: 93-78=15
Current State: 70:[85, 15], Operations: ['24+61=85', '93-78=15']
Exploring Operation: 85-15=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
13,
38,
34,
52
] | 33 | [
"13+38=51",
"52-34=18",
"51-18=33"
] | Current State: 33:[13, 38, 34, 52], Operations: []
Exploring Operation: 13+38=51, Resulting Numbers: [34, 52, 51]
Generated Node #2: [34, 52, 51] from Operation: 13+38=51
Current State: 33:[34, 52, 51], Operations: ['13+38=51']
Exploring Operation: 52-34=18, Resulting Numbers: [51, 18]
Generated Node #3: [51, 18] from Operation: 52-34=18
Current State: 33:[51, 18], Operations: ['13+38=51', '52-34=18']
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
49,
15,
16,
84
] | 66 | [
"49-15=34",
"16+84=100",
"100-34=66"
] | Current State: 66:[49, 15, 16, 84], Operations: []
Exploring Operation: 49-15=34, Resulting Numbers: [16, 84, 34]
Generated Node #2: [16, 84, 34] from Operation: 49-15=34
Current State: 66:[16, 84, 34], Operations: ['49-15=34']
Exploring Operation: 16+84=100, Resulting Numbers: [34, 100]
Generated Node #3: [34, 100] from Operation: 16+84=100
Current State: 66:[34, 100], Operations: ['49-15=34', '16+84=100']
Exploring Operation: 100-34=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
60,
27,
14,
2
] | 22 | [
"27+14=41",
"2*41=82",
"82-60=22"
] | Current State: 22:[60, 27, 14, 2], Operations: []
Exploring Operation: 27+14=41, Resulting Numbers: [60, 2, 41]
Generated Node #2: [60, 2, 41] from Operation: 27+14=41
Current State: 22:[60, 2, 41], Operations: ['27+14=41']
Exploring Operation: 2*41=82, Resulting Numbers: [60, 82]
Generated Node #3: [60, 82] from Operation: 2*41=82
Current State: 22:[60, 82], Operations: ['27+14=41', '2*41=82']
Exploring Operation: 82-60=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
44,
56,
24,
4
] | 18 | [
"56-44=12",
"24/4=6",
"12+6=18"
] | Current State: 18:[44, 56, 24, 4], Operations: []
Exploring Operation: 56-44=12, Resulting Numbers: [24, 4, 12]
Generated Node #2: [24, 4, 12] from Operation: 56-44=12
Current State: 18:[24, 4, 12], Operations: ['56-44=12']
Exploring Operation: 24/4=6, Resulting Numbers: [12, 6]
Generated Node #3: [12, 6] from Operation: 24/4=6
Current State: 18:[12, 6], Operations: ['56-44=12', '24/4=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
64,
87,
80,
52
] | 28 | [
"87-52=35",
"64*35=2240",
"2240/80=28"
] | Current State: 28:[64, 87, 80, 52], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [64, 80, 35]
Generated Node #2: [64, 80, 35] from Operation: 87-52=35
Current State: 28:[64, 80, 35], Operations: ['87-52=35']
Exploring Operation: 64*35=2240, Resulting Numbers: [80, 2240]
Generated Node #3: [80, 2240] from Operation: 64*35=2240
Current State: 28:[80, 2240], Operations: ['87-52=35', '64*35=2240']
Exploring Operation: 2240/80=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
78,
63,
6,
63
] | 71 | [
"78-6=72",
"63/63=1",
"72-1=71"
] | Current State: 71:[78, 63, 6, 63], Operations: []
Exploring Operation: 78-6=72, Resulting Numbers: [63, 63, 72]
Generated Node #2: [63, 63, 72] from Operation: 78-6=72
Current State: 71:[63, 63, 72], Operations: ['78-6=72']
Exploring Operation: 63/63=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 63/63=1
Current State: 71:[72, 1], Operations: ['78-6=72', '63/63=1']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
58,
70,
5,
99
] | 55 | [
"99-58=41",
"70/5=14",
"41+14=55"
] | Current State: 55:[58, 70, 5, 99], Operations: []
Exploring Operation: 99-58=41, Resulting Numbers: [70, 5, 41]
Generated Node #2: [70, 5, 41] from Operation: 99-58=41
Current State: 55:[70, 5, 41], Operations: ['99-58=41']
Exploring Operation: 70/5=14, Resulting Numbers: [41, 14]
Generated Node #3: [41, 14] from Operation: 70/5=14
Current State: 55:[41, 14], Operations: ['99-58=41', '70/5=14']
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
80,
87,
20,
99
] | 72 | [
"87-80=7",
"99-20=79",
"79-7=72"
] | Current State: 72:[80, 87, 20, 99], Operations: []
Exploring Operation: 87-80=7, Resulting Numbers: [20, 99, 7]
Generated Node #2: [20, 99, 7] from Operation: 87-80=7
Current State: 72:[20, 99, 7], Operations: ['87-80=7']
Exploring Operation: 99-20=79, Resulting Numbers: [7, 79]
Generated Node #3: [7, 79] from Operation: 99-20=79
Current State: 72:[7, 79], Operations: ['87-80=7', '99-20=79']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
21,
3,
41,
58
] | 41 | [
"21+3=24",
"58-41=17",
"24+17=41"
] | Current State: 41:[21, 3, 41, 58], Operations: []
Exploring Operation: 21+3=24, Resulting Numbers: [41, 58, 24]
Generated Node #2: [41, 58, 24] from Operation: 21+3=24
Current State: 41:[41, 58, 24], Operations: ['21+3=24']
Exploring Operation: 58-41=17, Resulting Numbers: [24, 17]
Generated Node #3: [24, 17] from Operation: 58-41=17
Current State: 41:[24, 17], Operations: ['21+3=24', '58-41=17']
Exploring Operation: 24+17=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
66,
77,
16,
64
] | 69 | [
"77-66=11",
"16+64=80",
"80-11=69"
] | Current State: 69:[66, 77, 16, 64], Operations: []
Exploring Operation: 77-66=11, Resulting Numbers: [16, 64, 11]
Generated Node #2: [16, 64, 11] from Operation: 77-66=11
Current State: 69:[16, 64, 11], Operations: ['77-66=11']
Exploring Operation: 16+64=80, Resulting Numbers: [11, 80]
Generated Node #3: [11, 80] from Operation: 16+64=80
Current State: 69:[11, 80], Operations: ['77-66=11', '16+64=80']
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
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