nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
12,
89,
42,
63
] | 81 | [
"12*42=504",
"504/63=8",
"89-8=81"
] | Current State: 81:[12, 89, 42, 63], Operations: []
Exploring Operation: 12*42=504, Resulting Numbers: [89, 63, 504]
Generated Node #2: [89, 63, 504] from Operation: 12*42=504
Current State: 81:[89, 63, 504], Operations: ['12*42=504']
Exploring Operation: 504/63=8, Resulting Numbers: [89, 8]
Generated Node #3: [89, 8] from Operation: 504/63=8
Current State: 81:[89, 8], Operations: ['12*42=504', '504/63=8']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
30,
92,
7,
28
] | 97 | [
"92-30=62",
"7+28=35",
"62+35=97"
] | Current State: 97:[30, 92, 7, 28], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [7, 28, 62]
Generated Node #2: [7, 28, 62] from Operation: 92-30=62
Current State: 97:[7, 28, 62], Operations: ['92-30=62']
Exploring Operation: 7+28=35, Resulting Numbers: [62, 35]
Generated Node #3: [62, 35] from Operation: 7+28=35
Current State: 97:[62, 35], Operations: ['92-30=62', '7+28=35']
Exploring Operation: 62+35=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
38,
45,
53,
51
] | 17 | [
"53-38=15",
"45/15=3",
"51/3=17"
] | Current State: 17:[38, 45, 53, 51], Operations: []
Exploring Operation: 53-38=15, Resulting Numbers: [45, 51, 15]
Generated Node #2: [45, 51, 15] from Operation: 53-38=15
Current State: 17:[45, 51, 15], Operations: ['53-38=15']
Exploring Operation: 45/15=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 45/15=3
Current State: 17:[51, 3], Operations: ['53-38=15', '45/15=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
69,
84,
56,
32
] | 65 | [
"69+84=153",
"56+32=88",
"153-88=65"
] | Current State: 65:[69, 84, 56, 32], Operations: []
Exploring Operation: 69+84=153, Resulting Numbers: [56, 32, 153]
Generated Node #2: [56, 32, 153] from Operation: 69+84=153
Current State: 65:[56, 32, 153], Operations: ['69+84=153']
Exploring Operation: 56+32=88, Resulting Numbers: [153, 88]
Generated Node #3: [153, 88] from Operation: 56+32=88
Current State: 65:[153, 88], Operations: ['69+84=153', '56+32=88']
Exploring Operation: 153-88=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
63,
2,
52,
82
] | 30 | [
"63-52=11",
"82/2=41",
"41-11=30"
] | Current State: 30:[63, 2, 52, 82], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [2, 82, 11]
Generated Node #2: [2, 82, 11] from Operation: 63-52=11
Current State: 30:[2, 82, 11], Operations: ['63-52=11']
Exploring Operation: 82/2=41, Resulting Numbers: [11, 41]
Generated Node #3: [11, 41] from Operation: 82/2=41
Current State: 30:[11, 41], Operations: ['63-52=11', '82/2=41']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
23,
61,
25,
49
] | 14 | [
"61-23=38",
"49-25=24",
"38-24=14"
] | Current State: 14:[23, 61, 25, 49], Operations: []
Exploring Operation: 61-23=38, Resulting Numbers: [25, 49, 38]
Generated Node #2: [25, 49, 38] from Operation: 61-23=38
Current State: 14:[25, 49, 38], Operations: ['61-23=38']
Exploring Operation: 49-25=24, Resulting Numbers: [38, 24]
Generated Node #3: [38, 24] from Operation: 49-25=24
Current State: 14:[38, 24], Operations: ['61-23=38', '49-25=24']
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
64,
93,
4,
31
] | 33 | [
"64+93=157",
"4*31=124",
"157-124=33"
] | Current State: 33:[64, 93, 4, 31], Operations: []
Exploring Operation: 64+93=157, Resulting Numbers: [4, 31, 157]
Generated Node #2: [4, 31, 157] from Operation: 64+93=157
Current State: 33:[4, 31, 157], Operations: ['64+93=157']
Exploring Operation: 4*31=124, Resulting Numbers: [157, 124]
Generated Node #3: [157, 124] from Operation: 4*31=124
Current State: 33:[157, 124], Operations: ['64+93=157', '4*31=124']
Exploring Operation: 157-124=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
13,
53,
12,
4
] | 32 | [
"53-13=40",
"12-4=8",
"40-8=32"
] | Current State: 32:[13, 53, 12, 4], Operations: []
Exploring Operation: 53-13=40, Resulting Numbers: [12, 4, 40]
Generated Node #2: [12, 4, 40] from Operation: 53-13=40
Current State: 32:[12, 4, 40], Operations: ['53-13=40']
Exploring Operation: 12-4=8, Resulting Numbers: [40, 8]
Generated Node #3: [40, 8] from Operation: 12-4=8
Current State: 32:[40, 8], Operations: ['53-13=40', '12-4=8']
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
18,
3,
27,
26
] | 87 | [
"27-18=9",
"3*26=78",
"9+78=87"
] | Current State: 87:[18, 3, 27, 26], Operations: []
Exploring Operation: 27-18=9, Resulting Numbers: [3, 26, 9]
Generated Node #2: [3, 26, 9] from Operation: 27-18=9
Current State: 87:[3, 26, 9], Operations: ['27-18=9']
Exploring Operation: 3*26=78, Resulting Numbers: [9, 78]
Generated Node #3: [9, 78] from Operation: 3*26=78
Current State: 87:[9, 78], Operations: ['27-18=9', '3*26=78']
Exploring Operation: 9+78=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
13,
48,
18,
54
] | 10 | [
"54-48=6",
"18/6=3",
"13-3=10"
] | Current State: 10:[13, 48, 18, 54], Operations: []
Exploring Operation: 54-48=6, Resulting Numbers: [13, 18, 6]
Generated Node #2: [13, 18, 6] from Operation: 54-48=6
Current State: 10:[13, 18, 6], Operations: ['54-48=6']
Exploring Operation: 18/6=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 18/6=3
Current State: 10:[13, 3], Operations: ['54-48=6', '18/6=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
95,
4,
29,
27
] | 42 | [
"95-29=66",
"4*27=108",
"108-66=42"
] | Current State: 42:[95, 4, 29, 27], Operations: []
Exploring Operation: 95-29=66, Resulting Numbers: [4, 27, 66]
Generated Node #2: [4, 27, 66] from Operation: 95-29=66
Current State: 42:[4, 27, 66], Operations: ['95-29=66']
Exploring Operation: 4*27=108, Resulting Numbers: [66, 108]
Generated Node #3: [66, 108] from Operation: 4*27=108
Current State: 42:[66, 108], Operations: ['95-29=66', '4*27=108']
Exploring Operation: 108-66=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
68,
60,
28,
39
] | 88 | [
"68-60=8",
"39-28=11",
"8*11=88"
] | Current State: 88:[68, 60, 28, 39], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [28, 39, 8]
Generated Node #2: [28, 39, 8] from Operation: 68-60=8
Current State: 88:[28, 39, 8], Operations: ['68-60=8']
Exploring Operation: 39-28=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 39-28=11
Current State: 88:[8, 11], Operations: ['68-60=8', '39-28=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
55,
85,
80,
24
] | 84 | [
"55+85=140",
"80-24=56",
"140-56=84"
] | Current State: 84:[55, 85, 80, 24], Operations: []
Exploring Operation: 55+85=140, Resulting Numbers: [80, 24, 140]
Generated Node #2: [80, 24, 140] from Operation: 55+85=140
Current State: 84:[80, 24, 140], Operations: ['55+85=140']
Exploring Operation: 80-24=56, Resulting Numbers: [140, 56]
Generated Node #3: [140, 56] from Operation: 80-24=56
Current State: 84:[140, 56], Operations: ['55+85=140', '80-24=56']
Exploring Operation: 140-56=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
56,
26,
37,
91
] | 28 | [
"56+26=82",
"91-37=54",
"82-54=28"
] | Current State: 28:[56, 26, 37, 91], Operations: []
Exploring Operation: 56+26=82, Resulting Numbers: [37, 91, 82]
Generated Node #2: [37, 91, 82] from Operation: 56+26=82
Current State: 28:[37, 91, 82], Operations: ['56+26=82']
Exploring Operation: 91-37=54, Resulting Numbers: [82, 54]
Generated Node #3: [82, 54] from Operation: 91-37=54
Current State: 28:[82, 54], Operations: ['56+26=82', '91-37=54']
Exploring Operation: 82-54=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
12,
63,
31,
44
] | 24 | [
"63-12=51",
"31+44=75",
"75-51=24"
] | Current State: 24:[12, 63, 31, 44], Operations: []
Exploring Operation: 63-12=51, Resulting Numbers: [31, 44, 51]
Generated Node #2: [31, 44, 51] from Operation: 63-12=51
Current State: 24:[31, 44, 51], Operations: ['63-12=51']
Exploring Operation: 31+44=75, Resulting Numbers: [51, 75]
Generated Node #3: [51, 75] from Operation: 31+44=75
Current State: 24:[51, 75], Operations: ['63-12=51', '31+44=75']
Exploring Operation: 75-51=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
70,
91,
84,
16
] | 47 | [
"91-70=21",
"84-16=68",
"68-21=47"
] | Current State: 47:[70, 91, 84, 16], Operations: []
Exploring Operation: 91-70=21, Resulting Numbers: [84, 16, 21]
Generated Node #2: [84, 16, 21] from Operation: 91-70=21
Current State: 47:[84, 16, 21], Operations: ['91-70=21']
Exploring Operation: 84-16=68, Resulting Numbers: [21, 68]
Generated Node #3: [21, 68] from Operation: 84-16=68
Current State: 47:[21, 68], Operations: ['91-70=21', '84-16=68']
Exploring Operation: 68-21=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
52,
85,
66,
78
] | 98 | [
"66-52=14",
"85-78=7",
"14*7=98"
] | Current State: 98:[52, 85, 66, 78], Operations: []
Exploring Operation: 66-52=14, Resulting Numbers: [85, 78, 14]
Generated Node #2: [85, 78, 14] from Operation: 66-52=14
Current State: 98:[85, 78, 14], Operations: ['66-52=14']
Exploring Operation: 85-78=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 85-78=7
Current State: 98:[14, 7], Operations: ['66-52=14', '85-78=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
55,
43,
11,
92
] | 17 | [
"55+43=98",
"92-11=81",
"98-81=17"
] | Current State: 17:[55, 43, 11, 92], Operations: []
Exploring Operation: 55+43=98, Resulting Numbers: [11, 92, 98]
Generated Node #2: [11, 92, 98] from Operation: 55+43=98
Current State: 17:[11, 92, 98], Operations: ['55+43=98']
Exploring Operation: 92-11=81, Resulting Numbers: [98, 81]
Generated Node #3: [98, 81] from Operation: 92-11=81
Current State: 17:[98, 81], Operations: ['55+43=98', '92-11=81']
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
50,
83,
76,
43
] | 14 | [
"50+83=133",
"76+43=119",
"133-119=14"
] | Current State: 14:[50, 83, 76, 43], Operations: []
Exploring Operation: 50+83=133, Resulting Numbers: [76, 43, 133]
Generated Node #2: [76, 43, 133] from Operation: 50+83=133
Current State: 14:[76, 43, 133], Operations: ['50+83=133']
Exploring Operation: 76+43=119, Resulting Numbers: [133, 119]
Generated Node #3: [133, 119] from Operation: 76+43=119
Current State: 14:[133, 119], Operations: ['50+83=133', '76+43=119']
Exploring Operation: 133-119=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
29,
33,
58,
16
] | 20 | [
"29+33=62",
"58-16=42",
"62-42=20"
] | Current State: 20:[29, 33, 58, 16], Operations: []
Exploring Operation: 29+33=62, Resulting Numbers: [58, 16, 62]
Generated Node #2: [58, 16, 62] from Operation: 29+33=62
Current State: 20:[58, 16, 62], Operations: ['29+33=62']
Exploring Operation: 58-16=42, Resulting Numbers: [62, 42]
Generated Node #3: [62, 42] from Operation: 58-16=42
Current State: 20:[62, 42], Operations: ['29+33=62', '58-16=42']
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
48,
80,
41,
97
] | 88 | [
"80-48=32",
"97-41=56",
"32+56=88"
] | Current State: 88:[48, 80, 41, 97], Operations: []
Exploring Operation: 80-48=32, Resulting Numbers: [41, 97, 32]
Generated Node #2: [41, 97, 32] from Operation: 80-48=32
Current State: 88:[41, 97, 32], Operations: ['80-48=32']
Exploring Operation: 97-41=56, Resulting Numbers: [32, 56]
Generated Node #3: [32, 56] from Operation: 97-41=56
Current State: 88:[32, 56], Operations: ['80-48=32', '97-41=56']
Exploring Operation: 32+56=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
89,
9,
3,
74
] | 72 | [
"89+9=98",
"98-74=24",
"3*24=72"
] | Current State: 72:[89, 9, 3, 74], Operations: []
Exploring Operation: 89+9=98, Resulting Numbers: [3, 74, 98]
Generated Node #2: [3, 74, 98] from Operation: 89+9=98
Current State: 72:[3, 74, 98], Operations: ['89+9=98']
Exploring Operation: 98-74=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 98-74=24
Current State: 72:[3, 24], Operations: ['89+9=98', '98-74=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
91,
79,
74,
6
] | 76 | [
"91-79=12",
"12/6=2",
"74+2=76"
] | Current State: 76:[91, 79, 74, 6], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [74, 6, 12]
Generated Node #2: [74, 6, 12] from Operation: 91-79=12
Current State: 76:[74, 6, 12], Operations: ['91-79=12']
Exploring Operation: 12/6=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 12/6=2
Current State: 76:[74, 2], Operations: ['91-79=12', '12/6=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
25,
12,
23,
83
] | 79 | [
"25+23=48",
"48/12=4",
"83-4=79"
] | Current State: 79:[25, 12, 23, 83], Operations: []
Exploring Operation: 25+23=48, Resulting Numbers: [12, 83, 48]
Generated Node #2: [12, 83, 48] from Operation: 25+23=48
Current State: 79:[12, 83, 48], Operations: ['25+23=48']
Exploring Operation: 48/12=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 48/12=4
Current State: 79:[83, 4], Operations: ['25+23=48', '48/12=4']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
11,
22,
27,
29
] | 11 | [
"11*27=297",
"22+297=319",
"319/29=11"
] | Current State: 11:[11, 22, 27, 29], Operations: []
Exploring Operation: 11*27=297, Resulting Numbers: [22, 29, 297]
Generated Node #2: [22, 29, 297] from Operation: 11*27=297
Current State: 11:[22, 29, 297], Operations: ['11*27=297']
Exploring Operation: 22+297=319, Resulting Numbers: [29, 319]
Generated Node #3: [29, 319] from Operation: 22+297=319
Current State: 11:[29, 319], Operations: ['11*27=297', '22+297=319']
Exploring Operation: 319/29=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
78,
16,
39,
30
] | 78 | [
"78*16=1248",
"39*30=1170",
"1248-1170=78"
] | Current State: 78:[78, 16, 39, 30], Operations: []
Exploring Operation: 78*16=1248, Resulting Numbers: [39, 30, 1248]
Generated Node #2: [39, 30, 1248] from Operation: 78*16=1248
Current State: 78:[39, 30, 1248], Operations: ['78*16=1248']
Exploring Operation: 39*30=1170, Resulting Numbers: [1248, 1170]
Generated Node #3: [1248, 1170] from Operation: 39*30=1170
Current State: 78:[1248, 1170], Operations: ['78*16=1248', '39*30=1170']
Exploring Operation: 1248-1170=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
92,
37,
46,
36
] | 35 | [
"92/46=2",
"36*2=72",
"72-37=35"
] | Current State: 35:[92, 37, 46, 36], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [37, 36, 2]
Generated Node #2: [37, 36, 2] from Operation: 92/46=2
Current State: 35:[37, 36, 2], Operations: ['92/46=2']
Exploring Operation: 36*2=72, Resulting Numbers: [37, 72]
Generated Node #3: [37, 72] from Operation: 36*2=72
Current State: 35:[37, 72], Operations: ['92/46=2', '36*2=72']
Exploring Operation: 72-37=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
61,
47,
81
] | 58 | [
"9+61=70",
"47+81=128",
"128-70=58"
] | Current State: 58:[9, 61, 47, 81], Operations: []
Exploring Operation: 9+61=70, Resulting Numbers: [47, 81, 70]
Generated Node #2: [47, 81, 70] from Operation: 9+61=70
Current State: 58:[47, 81, 70], Operations: ['9+61=70']
Exploring Operation: 47+81=128, Resulting Numbers: [70, 128]
Generated Node #3: [70, 128] from Operation: 47+81=128
Current State: 58:[70, 128], Operations: ['9+61=70', '47+81=128']
Exploring Operation: 128-70=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
7,
68,
29,
22
] | 57 | [
"7*22=154",
"68+29=97",
"154-97=57"
] | Current State: 57:[7, 68, 29, 22], Operations: []
Exploring Operation: 7*22=154, Resulting Numbers: [68, 29, 154]
Generated Node #2: [68, 29, 154] from Operation: 7*22=154
Current State: 57:[68, 29, 154], Operations: ['7*22=154']
Exploring Operation: 68+29=97, Resulting Numbers: [154, 97]
Generated Node #3: [154, 97] from Operation: 68+29=97
Current State: 57:[154, 97], Operations: ['7*22=154', '68+29=97']
Exploring Operation: 154-97=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
69,
12,
6,
78
] | 69 | [
"78/6=13",
"13-12=1",
"69*1=69"
] | Current State: 69:[69, 12, 6, 78], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [69, 12, 13]
Generated Node #2: [69, 12, 13] from Operation: 78/6=13
Current State: 69:[69, 12, 13], Operations: ['78/6=13']
Exploring Operation: 13-12=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 13-12=1
Current State: 69:[69, 1], Operations: ['78/6=13', '13-12=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
91,
21,
36,
33
] | 43 | [
"91+21=112",
"36+33=69",
"112-69=43"
] | Current State: 43:[91, 21, 36, 33], Operations: []
Exploring Operation: 91+21=112, Resulting Numbers: [36, 33, 112]
Generated Node #2: [36, 33, 112] from Operation: 91+21=112
Current State: 43:[36, 33, 112], Operations: ['91+21=112']
Exploring Operation: 36+33=69, Resulting Numbers: [112, 69]
Generated Node #3: [112, 69] from Operation: 36+33=69
Current State: 43:[112, 69], Operations: ['91+21=112', '36+33=69']
Exploring Operation: 112-69=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
70,
26,
56,
5
] | 30 | [
"70/5=14",
"56/14=4",
"26+4=30"
] | Current State: 30:[70, 26, 56, 5], Operations: []
Exploring Operation: 70/5=14, Resulting Numbers: [26, 56, 14]
Generated Node #2: [26, 56, 14] from Operation: 70/5=14
Current State: 30:[26, 56, 14], Operations: ['70/5=14']
Exploring Operation: 56/14=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 56/14=4
Current State: 30:[26, 4], Operations: ['70/5=14', '56/14=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
57,
4,
16,
13
] | 24 | [
"57-4=53",
"16+13=29",
"53-29=24"
] | Current State: 24:[57, 4, 16, 13], Operations: []
Exploring Operation: 57-4=53, Resulting Numbers: [16, 13, 53]
Generated Node #2: [16, 13, 53] from Operation: 57-4=53
Current State: 24:[16, 13, 53], Operations: ['57-4=53']
Exploring Operation: 16+13=29, Resulting Numbers: [53, 29]
Generated Node #3: [53, 29] from Operation: 16+13=29
Current State: 24:[53, 29], Operations: ['57-4=53', '16+13=29']
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
5,
45,
32,
6
] | 73 | [
"45-32=13",
"6*13=78",
"78-5=73"
] | Current State: 73:[5, 45, 32, 6], Operations: []
Exploring Operation: 45-32=13, Resulting Numbers: [5, 6, 13]
Generated Node #2: [5, 6, 13] from Operation: 45-32=13
Current State: 73:[5, 6, 13], Operations: ['45-32=13']
Exploring Operation: 6*13=78, Resulting Numbers: [5, 78]
Generated Node #3: [5, 78] from Operation: 6*13=78
Current State: 73:[5, 78], Operations: ['45-32=13', '6*13=78']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
69,
8,
6,
26
] | 79 | [
"69+8=77",
"6*26=156",
"156-77=79"
] | Current State: 79:[69, 8, 6, 26], Operations: []
Exploring Operation: 69+8=77, Resulting Numbers: [6, 26, 77]
Generated Node #2: [6, 26, 77] from Operation: 69+8=77
Current State: 79:[6, 26, 77], Operations: ['69+8=77']
Exploring Operation: 6*26=156, Resulting Numbers: [77, 156]
Generated Node #3: [77, 156] from Operation: 6*26=156
Current State: 79:[77, 156], Operations: ['69+8=77', '6*26=156']
Exploring Operation: 156-77=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
15,
24,
78,
5
] | 82 | [
"24-15=9",
"78-5=73",
"9+73=82"
] | Current State: 82:[15, 24, 78, 5], Operations: []
Exploring Operation: 24-15=9, Resulting Numbers: [78, 5, 9]
Generated Node #2: [78, 5, 9] from Operation: 24-15=9
Current State: 82:[78, 5, 9], Operations: ['24-15=9']
Exploring Operation: 78-5=73, Resulting Numbers: [9, 73]
Generated Node #3: [9, 73] from Operation: 78-5=73
Current State: 82:[9, 73], Operations: ['24-15=9', '78-5=73']
Exploring Operation: 9+73=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
35,
33,
71,
62
] | 59 | [
"35+33=68",
"71-62=9",
"68-9=59"
] | Current State: 59:[35, 33, 71, 62], Operations: []
Exploring Operation: 35+33=68, Resulting Numbers: [71, 62, 68]
Generated Node #2: [71, 62, 68] from Operation: 35+33=68
Current State: 59:[71, 62, 68], Operations: ['35+33=68']
Exploring Operation: 71-62=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 71-62=9
Current State: 59:[68, 9], Operations: ['35+33=68', '71-62=9']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
44,
95,
86,
29
] | 82 | [
"44+95=139",
"86-29=57",
"139-57=82"
] | Current State: 82:[44, 95, 86, 29], Operations: []
Exploring Operation: 44+95=139, Resulting Numbers: [86, 29, 139]
Generated Node #2: [86, 29, 139] from Operation: 44+95=139
Current State: 82:[86, 29, 139], Operations: ['44+95=139']
Exploring Operation: 86-29=57, Resulting Numbers: [139, 57]
Generated Node #3: [139, 57] from Operation: 86-29=57
Current State: 82:[139, 57], Operations: ['44+95=139', '86-29=57']
Exploring Operation: 139-57=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
52,
77,
35,
51
] | 37 | [
"77-51=26",
"52/26=2",
"35+2=37"
] | Current State: 37:[52, 77, 35, 51], Operations: []
Exploring Operation: 77-51=26, Resulting Numbers: [52, 35, 26]
Generated Node #2: [52, 35, 26] from Operation: 77-51=26
Current State: 37:[52, 35, 26], Operations: ['77-51=26']
Exploring Operation: 52/26=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 52/26=2
Current State: 37:[35, 2], Operations: ['77-51=26', '52/26=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
23,
40,
17,
6
] | 40 | [
"23+40=63",
"17+6=23",
"63-23=40"
] | Current State: 40:[23, 40, 17, 6], Operations: []
Exploring Operation: 23+40=63, Resulting Numbers: [17, 6, 63]
Generated Node #2: [17, 6, 63] from Operation: 23+40=63
Current State: 40:[17, 6, 63], Operations: ['23+40=63']
Exploring Operation: 17+6=23, Resulting Numbers: [63, 23]
Generated Node #3: [63, 23] from Operation: 17+6=23
Current State: 40:[63, 23], Operations: ['23+40=63', '17+6=23']
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
15,
9,
27,
25
] | 27 | [
"15+9=24",
"25-24=1",
"27*1=27"
] | Current State: 27:[15, 9, 27, 25], Operations: []
Exploring Operation: 15+9=24, Resulting Numbers: [27, 25, 24]
Generated Node #2: [27, 25, 24] from Operation: 15+9=24
Current State: 27:[27, 25, 24], Operations: ['15+9=24']
Exploring Operation: 25-24=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 25-24=1
Current State: 27:[27, 1], Operations: ['15+9=24', '25-24=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
95,
5,
98,
18
] | 79 | [
"98-18=80",
"80/5=16",
"95-16=79"
] | Current State: 79:[95, 5, 98, 18], Operations: []
Exploring Operation: 98-18=80, Resulting Numbers: [95, 5, 80]
Generated Node #2: [95, 5, 80] from Operation: 98-18=80
Current State: 79:[95, 5, 80], Operations: ['98-18=80']
Exploring Operation: 80/5=16, Resulting Numbers: [95, 16]
Generated Node #3: [95, 16] from Operation: 80/5=16
Current State: 79:[95, 16], Operations: ['98-18=80', '80/5=16']
Exploring Operation: 95-16=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
54,
60,
71,
16
] | 93 | [
"60-54=6",
"71+16=87",
"6+87=93"
] | Current State: 93:[54, 60, 71, 16], Operations: []
Exploring Operation: 60-54=6, Resulting Numbers: [71, 16, 6]
Generated Node #2: [71, 16, 6] from Operation: 60-54=6
Current State: 93:[71, 16, 6], Operations: ['60-54=6']
Exploring Operation: 71+16=87, Resulting Numbers: [6, 87]
Generated Node #3: [6, 87] from Operation: 71+16=87
Current State: 93:[6, 87], Operations: ['60-54=6', '71+16=87']
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
13,
52,
23,
37
] | 64 | [
"52/13=4",
"23+37=60",
"4+60=64"
] | Current State: 64:[13, 52, 23, 37], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [23, 37, 4]
Generated Node #2: [23, 37, 4] from Operation: 52/13=4
Current State: 64:[23, 37, 4], Operations: ['52/13=4']
Exploring Operation: 23+37=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 23+37=60
Current State: 64:[4, 60], Operations: ['52/13=4', '23+37=60']
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
88,
83,
4,
43
] | 52 | [
"88-83=5",
"4+43=47",
"5+47=52"
] | Current State: 52:[88, 83, 4, 43], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [4, 43, 5]
Generated Node #2: [4, 43, 5] from Operation: 88-83=5
Current State: 52:[4, 43, 5], Operations: ['88-83=5']
Exploring Operation: 4+43=47, Resulting Numbers: [5, 47]
Generated Node #3: [5, 47] from Operation: 4+43=47
Current State: 52:[5, 47], Operations: ['88-83=5', '4+43=47']
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
94,
1,
8,
84
] | 90 | [
"94-84=10",
"1+8=9",
"10*9=90"
] | Current State: 90:[94, 1, 8, 84], Operations: []
Exploring Operation: 94-84=10, Resulting Numbers: [1, 8, 10]
Generated Node #2: [1, 8, 10] from Operation: 94-84=10
Current State: 90:[1, 8, 10], Operations: ['94-84=10']
Exploring Operation: 1+8=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 1+8=9
Current State: 90:[10, 9], Operations: ['94-84=10', '1+8=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
75,
39,
83,
85
] | 54 | [
"75+39=114",
"83+85=168",
"168-114=54"
] | Current State: 54:[75, 39, 83, 85], Operations: []
Exploring Operation: 75+39=114, Resulting Numbers: [83, 85, 114]
Generated Node #2: [83, 85, 114] from Operation: 75+39=114
Current State: 54:[83, 85, 114], Operations: ['75+39=114']
Exploring Operation: 83+85=168, Resulting Numbers: [114, 168]
Generated Node #3: [114, 168] from Operation: 83+85=168
Current State: 54:[114, 168], Operations: ['75+39=114', '83+85=168']
Exploring Operation: 168-114=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
6,
1,
11,
30
] | 26 | [
"6+1=7",
"30-11=19",
"7+19=26"
] | Current State: 26:[6, 1, 11, 30], Operations: []
Exploring Operation: 6+1=7, Resulting Numbers: [11, 30, 7]
Generated Node #2: [11, 30, 7] from Operation: 6+1=7
Current State: 26:[11, 30, 7], Operations: ['6+1=7']
Exploring Operation: 30-11=19, Resulting Numbers: [7, 19]
Generated Node #3: [7, 19] from Operation: 30-11=19
Current State: 26:[7, 19], Operations: ['6+1=7', '30-11=19']
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
95,
58,
60,
59
] | 34 | [
"95+58=153",
"60+59=119",
"153-119=34"
] | Current State: 34:[95, 58, 60, 59], Operations: []
Exploring Operation: 95+58=153, Resulting Numbers: [60, 59, 153]
Generated Node #2: [60, 59, 153] from Operation: 95+58=153
Current State: 34:[60, 59, 153], Operations: ['95+58=153']
Exploring Operation: 60+59=119, Resulting Numbers: [153, 119]
Generated Node #3: [153, 119] from Operation: 60+59=119
Current State: 34:[153, 119], Operations: ['95+58=153', '60+59=119']
Exploring Operation: 153-119=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
61,
11,
58,
28
] | 61 | [
"61-58=3",
"11*3=33",
"28+33=61"
] | Current State: 61:[61, 11, 58, 28], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [11, 28, 3]
Generated Node #2: [11, 28, 3] from Operation: 61-58=3
Current State: 61:[11, 28, 3], Operations: ['61-58=3']
Exploring Operation: 11*3=33, Resulting Numbers: [28, 33]
Generated Node #3: [28, 33] from Operation: 11*3=33
Current State: 61:[28, 33], Operations: ['61-58=3', '11*3=33']
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
49,
58,
8,
83
] | 32 | [
"49+58=107",
"83-8=75",
"107-75=32"
] | Current State: 32:[49, 58, 8, 83], Operations: []
Exploring Operation: 49+58=107, Resulting Numbers: [8, 83, 107]
Generated Node #2: [8, 83, 107] from Operation: 49+58=107
Current State: 32:[8, 83, 107], Operations: ['49+58=107']
Exploring Operation: 83-8=75, Resulting Numbers: [107, 75]
Generated Node #3: [107, 75] from Operation: 83-8=75
Current State: 32:[107, 75], Operations: ['49+58=107', '83-8=75']
Exploring Operation: 107-75=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
88,
41,
62,
24
] | 43 | [
"88+41=129",
"62+24=86",
"129-86=43"
] | Current State: 43:[88, 41, 62, 24], Operations: []
Exploring Operation: 88+41=129, Resulting Numbers: [62, 24, 129]
Generated Node #2: [62, 24, 129] from Operation: 88+41=129
Current State: 43:[62, 24, 129], Operations: ['88+41=129']
Exploring Operation: 62+24=86, Resulting Numbers: [129, 86]
Generated Node #3: [129, 86] from Operation: 62+24=86
Current State: 43:[129, 86], Operations: ['88+41=129', '62+24=86']
Exploring Operation: 129-86=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
48,
70,
10,
94
] | 34 | [
"48+70=118",
"94-10=84",
"118-84=34"
] | Current State: 34:[48, 70, 10, 94], Operations: []
Exploring Operation: 48+70=118, Resulting Numbers: [10, 94, 118]
Generated Node #2: [10, 94, 118] from Operation: 48+70=118
Current State: 34:[10, 94, 118], Operations: ['48+70=118']
Exploring Operation: 94-10=84, Resulting Numbers: [118, 84]
Generated Node #3: [118, 84] from Operation: 94-10=84
Current State: 34:[118, 84], Operations: ['48+70=118', '94-10=84']
Exploring Operation: 118-84=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
81,
23,
62,
52
] | 68 | [
"81-23=58",
"62-52=10",
"58+10=68"
] | Current State: 68:[81, 23, 62, 52], Operations: []
Exploring Operation: 81-23=58, Resulting Numbers: [62, 52, 58]
Generated Node #2: [62, 52, 58] from Operation: 81-23=58
Current State: 68:[62, 52, 58], Operations: ['81-23=58']
Exploring Operation: 62-52=10, Resulting Numbers: [58, 10]
Generated Node #3: [58, 10] from Operation: 62-52=10
Current State: 68:[58, 10], Operations: ['81-23=58', '62-52=10']
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
57,
42,
78,
80
] | 36 | [
"80-78=2",
"42/2=21",
"57-21=36"
] | Current State: 36:[57, 42, 78, 80], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [57, 42, 2]
Generated Node #2: [57, 42, 2] from Operation: 80-78=2
Current State: 36:[57, 42, 2], Operations: ['80-78=2']
Exploring Operation: 42/2=21, Resulting Numbers: [57, 21]
Generated Node #3: [57, 21] from Operation: 42/2=21
Current State: 36:[57, 21], Operations: ['80-78=2', '42/2=21']
Exploring Operation: 57-21=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
3,
36,
64,
2
] | 70 | [
"36/3=12",
"12/2=6",
"64+6=70"
] | Current State: 70:[3, 36, 64, 2], Operations: []
Exploring Operation: 36/3=12, Resulting Numbers: [64, 2, 12]
Generated Node #2: [64, 2, 12] from Operation: 36/3=12
Current State: 70:[64, 2, 12], Operations: ['36/3=12']
Exploring Operation: 12/2=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 12/2=6
Current State: 70:[64, 6], Operations: ['36/3=12', '12/2=6']
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
91,
18,
29,
10
] | 92 | [
"91-18=73",
"29-10=19",
"73+19=92"
] | Current State: 92:[91, 18, 29, 10], Operations: []
Exploring Operation: 91-18=73, Resulting Numbers: [29, 10, 73]
Generated Node #2: [29, 10, 73] from Operation: 91-18=73
Current State: 92:[29, 10, 73], Operations: ['91-18=73']
Exploring Operation: 29-10=19, Resulting Numbers: [73, 19]
Generated Node #3: [73, 19] from Operation: 29-10=19
Current State: 92:[73, 19], Operations: ['91-18=73', '29-10=19']
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
34,
81,
26,
56
] | 85 | [
"34+81=115",
"56-26=30",
"115-30=85"
] | Current State: 85:[34, 81, 26, 56], Operations: []
Exploring Operation: 34+81=115, Resulting Numbers: [26, 56, 115]
Generated Node #2: [26, 56, 115] from Operation: 34+81=115
Current State: 85:[26, 56, 115], Operations: ['34+81=115']
Exploring Operation: 56-26=30, Resulting Numbers: [115, 30]
Generated Node #3: [115, 30] from Operation: 56-26=30
Current State: 85:[115, 30], Operations: ['34+81=115', '56-26=30']
Exploring Operation: 115-30=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
22,
29,
78,
20
] | 20 | [
"22-20=2",
"29*2=58",
"78-58=20"
] | Current State: 20:[22, 29, 78, 20], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [29, 78, 2]
Generated Node #2: [29, 78, 2] from Operation: 22-20=2
Current State: 20:[29, 78, 2], Operations: ['22-20=2']
Exploring Operation: 29*2=58, Resulting Numbers: [78, 58]
Generated Node #3: [78, 58] from Operation: 29*2=58
Current State: 20:[78, 58], Operations: ['22-20=2', '29*2=58']
Exploring Operation: 78-58=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
37,
82,
5,
69
] | 10 | [
"37+82=119",
"119-69=50",
"50/5=10"
] | Current State: 10:[37, 82, 5, 69], Operations: []
Exploring Operation: 37+82=119, Resulting Numbers: [5, 69, 119]
Generated Node #2: [5, 69, 119] from Operation: 37+82=119
Current State: 10:[5, 69, 119], Operations: ['37+82=119']
Exploring Operation: 119-69=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 119-69=50
Current State: 10:[5, 50], Operations: ['37+82=119', '119-69=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
8,
51,
60,
12
] | 84 | [
"60-51=9",
"8*9=72",
"12+72=84"
] | Current State: 84:[8, 51, 60, 12], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [8, 12, 9]
Generated Node #2: [8, 12, 9] from Operation: 60-51=9
Current State: 84:[8, 12, 9], Operations: ['60-51=9']
Exploring Operation: 8*9=72, Resulting Numbers: [12, 72]
Generated Node #3: [12, 72] from Operation: 8*9=72
Current State: 84:[12, 72], Operations: ['60-51=9', '8*9=72']
Exploring Operation: 12+72=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
57,
52,
61,
25
] | 73 | [
"57+52=109",
"61-25=36",
"109-36=73"
] | Current State: 73:[57, 52, 61, 25], Operations: []
Exploring Operation: 57+52=109, Resulting Numbers: [61, 25, 109]
Generated Node #2: [61, 25, 109] from Operation: 57+52=109
Current State: 73:[61, 25, 109], Operations: ['57+52=109']
Exploring Operation: 61-25=36, Resulting Numbers: [109, 36]
Generated Node #3: [109, 36] from Operation: 61-25=36
Current State: 73:[109, 36], Operations: ['57+52=109', '61-25=36']
Exploring Operation: 109-36=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
56,
11,
68,
70
] | 43 | [
"56-11=45",
"70-68=2",
"45-2=43"
] | Current State: 43:[56, 11, 68, 70], Operations: []
Exploring Operation: 56-11=45, Resulting Numbers: [68, 70, 45]
Generated Node #2: [68, 70, 45] from Operation: 56-11=45
Current State: 43:[68, 70, 45], Operations: ['56-11=45']
Exploring Operation: 70-68=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 70-68=2
Current State: 43:[45, 2], Operations: ['56-11=45', '70-68=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
44,
56,
35,
22
] | 23 | [
"44/22=2",
"56-35=21",
"2+21=23"
] | Current State: 23:[44, 56, 35, 22], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [56, 35, 2]
Generated Node #2: [56, 35, 2] from Operation: 44/22=2
Current State: 23:[56, 35, 2], Operations: ['44/22=2']
Exploring Operation: 56-35=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 56-35=21
Current State: 23:[2, 21], Operations: ['44/22=2', '56-35=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
91,
67,
28,
39
] | 91 | [
"91+67=158",
"28+39=67",
"158-67=91"
] | Current State: 91:[91, 67, 28, 39], Operations: []
Exploring Operation: 91+67=158, Resulting Numbers: [28, 39, 158]
Generated Node #2: [28, 39, 158] from Operation: 91+67=158
Current State: 91:[28, 39, 158], Operations: ['91+67=158']
Exploring Operation: 28+39=67, Resulting Numbers: [158, 67]
Generated Node #3: [158, 67] from Operation: 28+39=67
Current State: 91:[158, 67], Operations: ['91+67=158', '28+39=67']
Exploring Operation: 158-67=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
12,
95,
84,
38
] | 39 | [
"95-12=83",
"84+38=122",
"122-83=39"
] | Current State: 39:[12, 95, 84, 38], Operations: []
Exploring Operation: 95-12=83, Resulting Numbers: [84, 38, 83]
Generated Node #2: [84, 38, 83] from Operation: 95-12=83
Current State: 39:[84, 38, 83], Operations: ['95-12=83']
Exploring Operation: 84+38=122, Resulting Numbers: [83, 122]
Generated Node #3: [83, 122] from Operation: 84+38=122
Current State: 39:[83, 122], Operations: ['95-12=83', '84+38=122']
Exploring Operation: 122-83=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
5,
20,
52,
3
] | 51 | [
"5*20=100",
"52-3=49",
"100-49=51"
] | Current State: 51:[5, 20, 52, 3], Operations: []
Exploring Operation: 5*20=100, Resulting Numbers: [52, 3, 100]
Generated Node #2: [52, 3, 100] from Operation: 5*20=100
Current State: 51:[52, 3, 100], Operations: ['5*20=100']
Exploring Operation: 52-3=49, Resulting Numbers: [100, 49]
Generated Node #3: [100, 49] from Operation: 52-3=49
Current State: 51:[100, 49], Operations: ['5*20=100', '52-3=49']
Exploring Operation: 100-49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
21,
18,
52,
60
] | 24 | [
"21-18=3",
"60-52=8",
"3*8=24"
] | Current State: 24:[21, 18, 52, 60], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [52, 60, 3]
Generated Node #2: [52, 60, 3] from Operation: 21-18=3
Current State: 24:[52, 60, 3], Operations: ['21-18=3']
Exploring Operation: 60-52=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 60-52=8
Current State: 24:[3, 8], Operations: ['21-18=3', '60-52=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
31,
88,
76,
1
] | 20 | [
"88-31=57",
"76+1=77",
"77-57=20"
] | Current State: 20:[31, 88, 76, 1], Operations: []
Exploring Operation: 88-31=57, Resulting Numbers: [76, 1, 57]
Generated Node #2: [76, 1, 57] from Operation: 88-31=57
Current State: 20:[76, 1, 57], Operations: ['88-31=57']
Exploring Operation: 76+1=77, Resulting Numbers: [57, 77]
Generated Node #3: [57, 77] from Operation: 76+1=77
Current State: 20:[57, 77], Operations: ['88-31=57', '76+1=77']
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
26,
75,
90,
60
] | 98 | [
"90*60=5400",
"5400/75=72",
"26+72=98"
] | Current State: 98:[26, 75, 90, 60], Operations: []
Exploring Operation: 90*60=5400, Resulting Numbers: [26, 75, 5400]
Generated Node #2: [26, 75, 5400] from Operation: 90*60=5400
Current State: 98:[26, 75, 5400], Operations: ['90*60=5400']
Exploring Operation: 5400/75=72, Resulting Numbers: [26, 72]
Generated Node #3: [26, 72] from Operation: 5400/75=72
Current State: 98:[26, 72], Operations: ['90*60=5400', '5400/75=72']
Exploring Operation: 26+72=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
26,
45,
38,
80
] | 47 | [
"26+45=71",
"38+80=118",
"118-71=47"
] | Current State: 47:[26, 45, 38, 80], Operations: []
Exploring Operation: 26+45=71, Resulting Numbers: [38, 80, 71]
Generated Node #2: [38, 80, 71] from Operation: 26+45=71
Current State: 47:[38, 80, 71], Operations: ['26+45=71']
Exploring Operation: 38+80=118, Resulting Numbers: [71, 118]
Generated Node #3: [71, 118] from Operation: 38+80=118
Current State: 47:[71, 118], Operations: ['26+45=71', '38+80=118']
Exploring Operation: 118-71=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
48,
3,
68,
59
] | 45 | [
"68-59=9",
"9/3=3",
"48-3=45"
] | Current State: 45:[48, 3, 68, 59], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [48, 3, 9]
Generated Node #2: [48, 3, 9] from Operation: 68-59=9
Current State: 45:[48, 3, 9], Operations: ['68-59=9']
Exploring Operation: 9/3=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 9/3=3
Current State: 45:[48, 3], Operations: ['68-59=9', '9/3=3']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
61,
26,
96,
33
] | 24 | [
"61+26=87",
"96-33=63",
"87-63=24"
] | Current State: 24:[61, 26, 96, 33], Operations: []
Exploring Operation: 61+26=87, Resulting Numbers: [96, 33, 87]
Generated Node #2: [96, 33, 87] from Operation: 61+26=87
Current State: 24:[96, 33, 87], Operations: ['61+26=87']
Exploring Operation: 96-33=63, Resulting Numbers: [87, 63]
Generated Node #3: [87, 63] from Operation: 96-33=63
Current State: 24:[87, 63], Operations: ['61+26=87', '96-33=63']
Exploring Operation: 87-63=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
6,
37,
51,
43
] | 52 | [
"6+37=43",
"43/43=1",
"51+1=52"
] | Current State: 52:[6, 37, 51, 43], Operations: []
Exploring Operation: 6+37=43, Resulting Numbers: [51, 43, 43]
Generated Node #2: [51, 43, 43] from Operation: 6+37=43
Current State: 52:[51, 43, 43], Operations: ['6+37=43']
Exploring Operation: 43/43=1, Resulting Numbers: [51, 1]
Generated Node #3: [51, 1] from Operation: 43/43=1
Current State: 52:[51, 1], Operations: ['6+37=43', '43/43=1']
Exploring Operation: 51+1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
68,
71,
19,
51
] | 69 | [
"68+71=139",
"19+51=70",
"139-70=69"
] | Current State: 69:[68, 71, 19, 51], Operations: []
Exploring Operation: 68+71=139, Resulting Numbers: [19, 51, 139]
Generated Node #2: [19, 51, 139] from Operation: 68+71=139
Current State: 69:[19, 51, 139], Operations: ['68+71=139']
Exploring Operation: 19+51=70, Resulting Numbers: [139, 70]
Generated Node #3: [139, 70] from Operation: 19+51=70
Current State: 69:[139, 70], Operations: ['68+71=139', '19+51=70']
Exploring Operation: 139-70=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
7,
64,
35,
49
] | 92 | [
"49/7=7",
"64+35=99",
"99-7=92"
] | Current State: 92:[7, 64, 35, 49], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [64, 35, 7]
Generated Node #2: [64, 35, 7] from Operation: 49/7=7
Current State: 92:[64, 35, 7], Operations: ['49/7=7']
Exploring Operation: 64+35=99, Resulting Numbers: [7, 99]
Generated Node #3: [7, 99] from Operation: 64+35=99
Current State: 92:[7, 99], Operations: ['49/7=7', '64+35=99']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
17,
36,
2,
29
] | 48 | [
"17+36=53",
"53-29=24",
"2*24=48"
] | Current State: 48:[17, 36, 2, 29], Operations: []
Exploring Operation: 17+36=53, Resulting Numbers: [2, 29, 53]
Generated Node #2: [2, 29, 53] from Operation: 17+36=53
Current State: 48:[2, 29, 53], Operations: ['17+36=53']
Exploring Operation: 53-29=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 53-29=24
Current State: 48:[2, 24], Operations: ['17+36=53', '53-29=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
45,
16,
83,
99
] | 45 | [
"45+16=61",
"99-83=16",
"61-16=45"
] | Current State: 45:[45, 16, 83, 99], Operations: []
Exploring Operation: 45+16=61, Resulting Numbers: [83, 99, 61]
Generated Node #2: [83, 99, 61] from Operation: 45+16=61
Current State: 45:[83, 99, 61], Operations: ['45+16=61']
Exploring Operation: 99-83=16, Resulting Numbers: [61, 16]
Generated Node #3: [61, 16] from Operation: 99-83=16
Current State: 45:[61, 16], Operations: ['45+16=61', '99-83=16']
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
9,
78,
77,
94
] | 59 | [
"77+94=171",
"171/9=19",
"78-19=59"
] | Current State: 59:[9, 78, 77, 94], Operations: []
Exploring Operation: 77+94=171, Resulting Numbers: [9, 78, 171]
Generated Node #2: [9, 78, 171] from Operation: 77+94=171
Current State: 59:[9, 78, 171], Operations: ['77+94=171']
Exploring Operation: 171/9=19, Resulting Numbers: [78, 19]
Generated Node #3: [78, 19] from Operation: 171/9=19
Current State: 59:[78, 19], Operations: ['77+94=171', '171/9=19']
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
36,
36,
39,
70
] | 70 | [
"36-36=0",
"39*0=0",
"70+0=70"
] | Current State: 70:[36, 36, 39, 70], Operations: []
Exploring Operation: 36-36=0, Resulting Numbers: [39, 70, 0]
Generated Node #2: [39, 70, 0] from Operation: 36-36=0
Current State: 70:[39, 70, 0], Operations: ['36-36=0']
Exploring Operation: 39*0=0, Resulting Numbers: [70, 0]
Generated Node #3: [70, 0] from Operation: 39*0=0
Current State: 70:[70, 0], Operations: ['36-36=0', '39*0=0']
Exploring Operation: 70+0=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
51,
25,
22,
17
] | 21 | [
"51-25=26",
"22-17=5",
"26-5=21"
] | Current State: 21:[51, 25, 22, 17], Operations: []
Exploring Operation: 51-25=26, Resulting Numbers: [22, 17, 26]
Generated Node #2: [22, 17, 26] from Operation: 51-25=26
Current State: 21:[22, 17, 26], Operations: ['51-25=26']
Exploring Operation: 22-17=5, Resulting Numbers: [26, 5]
Generated Node #3: [26, 5] from Operation: 22-17=5
Current State: 21:[26, 5], Operations: ['51-25=26', '22-17=5']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
14,
52,
5,
4
] | 51 | [
"52*5=260",
"260/4=65",
"65-14=51"
] | Current State: 51:[14, 52, 5, 4], Operations: []
Exploring Operation: 52*5=260, Resulting Numbers: [14, 4, 260]
Generated Node #2: [14, 4, 260] from Operation: 52*5=260
Current State: 51:[14, 4, 260], Operations: ['52*5=260']
Exploring Operation: 260/4=65, Resulting Numbers: [14, 65]
Generated Node #3: [14, 65] from Operation: 260/4=65
Current State: 51:[14, 65], Operations: ['52*5=260', '260/4=65']
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
91,
96,
35,
22
] | 62 | [
"96-91=5",
"35+22=57",
"5+57=62"
] | Current State: 62:[91, 96, 35, 22], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [35, 22, 5]
Generated Node #2: [35, 22, 5] from Operation: 96-91=5
Current State: 62:[35, 22, 5], Operations: ['96-91=5']
Exploring Operation: 35+22=57, Resulting Numbers: [5, 57]
Generated Node #3: [5, 57] from Operation: 35+22=57
Current State: 62:[5, 57], Operations: ['96-91=5', '35+22=57']
Exploring Operation: 5+57=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
81,
62,
18,
60
] | 90 | [
"62-60=2",
"18/2=9",
"81+9=90"
] | Current State: 90:[81, 62, 18, 60], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [81, 18, 2]
Generated Node #2: [81, 18, 2] from Operation: 62-60=2
Current State: 90:[81, 18, 2], Operations: ['62-60=2']
Exploring Operation: 18/2=9, Resulting Numbers: [81, 9]
Generated Node #3: [81, 9] from Operation: 18/2=9
Current State: 90:[81, 9], Operations: ['62-60=2', '18/2=9']
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
49,
58,
5,
5
] | 90 | [
"58-49=9",
"5+5=10",
"9*10=90"
] | Current State: 90:[49, 58, 5, 5], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [5, 5, 9]
Generated Node #2: [5, 5, 9] from Operation: 58-49=9
Current State: 90:[5, 5, 9], Operations: ['58-49=9']
Exploring Operation: 5+5=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 5+5=10
Current State: 90:[9, 10], Operations: ['58-49=9', '5+5=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
37,
16,
56,
35
] | 24 | [
"37-35=2",
"16*2=32",
"56-32=24"
] | Current State: 24:[37, 16, 56, 35], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [16, 56, 2]
Generated Node #2: [16, 56, 2] from Operation: 37-35=2
Current State: 24:[16, 56, 2], Operations: ['37-35=2']
Exploring Operation: 16*2=32, Resulting Numbers: [56, 32]
Generated Node #3: [56, 32] from Operation: 16*2=32
Current State: 24:[56, 32], Operations: ['37-35=2', '16*2=32']
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
49,
63,
74,
9
] | 69 | [
"63-49=14",
"74+9=83",
"83-14=69"
] | Current State: 69:[49, 63, 74, 9], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [74, 9, 14]
Generated Node #2: [74, 9, 14] from Operation: 63-49=14
Current State: 69:[74, 9, 14], Operations: ['63-49=14']
Exploring Operation: 74+9=83, Resulting Numbers: [14, 83]
Generated Node #3: [14, 83] from Operation: 74+9=83
Current State: 69:[14, 83], Operations: ['63-49=14', '74+9=83']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
39,
34,
15,
41
] | 31 | [
"39-34=5",
"41-15=26",
"5+26=31"
] | Current State: 31:[39, 34, 15, 41], Operations: []
Exploring Operation: 39-34=5, Resulting Numbers: [15, 41, 5]
Generated Node #2: [15, 41, 5] from Operation: 39-34=5
Current State: 31:[15, 41, 5], Operations: ['39-34=5']
Exploring Operation: 41-15=26, Resulting Numbers: [5, 26]
Generated Node #3: [5, 26] from Operation: 41-15=26
Current State: 31:[5, 26], Operations: ['39-34=5', '41-15=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
23,
64,
11,
28
] | 44 | [
"64+28=92",
"92/23=4",
"11*4=44"
] | Current State: 44:[23, 64, 11, 28], Operations: []
Exploring Operation: 64+28=92, Resulting Numbers: [23, 11, 92]
Generated Node #2: [23, 11, 92] from Operation: 64+28=92
Current State: 44:[23, 11, 92], Operations: ['64+28=92']
Exploring Operation: 92/23=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 92/23=4
Current State: 44:[11, 4], Operations: ['64+28=92', '92/23=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
99,
2,
92,
2
] | 28 | [
"99-92=7",
"2+2=4",
"7*4=28"
] | Current State: 28:[99, 2, 92, 2], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [2, 2, 7]
Generated Node #2: [2, 2, 7] from Operation: 99-92=7
Current State: 28:[2, 2, 7], Operations: ['99-92=7']
Exploring Operation: 2+2=4, Resulting Numbers: [7, 4]
Generated Node #3: [7, 4] from Operation: 2+2=4
Current State: 28:[7, 4], Operations: ['99-92=7', '2+2=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
52,
61,
22,
2
] | 89 | [
"52+61=113",
"22+2=24",
"113-24=89"
] | Current State: 89:[52, 61, 22, 2], Operations: []
Exploring Operation: 52+61=113, Resulting Numbers: [22, 2, 113]
Generated Node #2: [22, 2, 113] from Operation: 52+61=113
Current State: 89:[22, 2, 113], Operations: ['52+61=113']
Exploring Operation: 22+2=24, Resulting Numbers: [113, 24]
Generated Node #3: [113, 24] from Operation: 22+2=24
Current State: 89:[113, 24], Operations: ['52+61=113', '22+2=24']
Exploring Operation: 113-24=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
87,
10,
11,
15
] | 69 | [
"87*10=870",
"870/15=58",
"11+58=69"
] | Current State: 69:[87, 10, 11, 15], Operations: []
Exploring Operation: 87*10=870, Resulting Numbers: [11, 15, 870]
Generated Node #2: [11, 15, 870] from Operation: 87*10=870
Current State: 69:[11, 15, 870], Operations: ['87*10=870']
Exploring Operation: 870/15=58, Resulting Numbers: [11, 58]
Generated Node #3: [11, 58] from Operation: 870/15=58
Current State: 69:[11, 58], Operations: ['87*10=870', '870/15=58']
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
6,
14,
65,
37
] | 48 | [
"6+14=20",
"65-37=28",
"20+28=48"
] | Current State: 48:[6, 14, 65, 37], Operations: []
Exploring Operation: 6+14=20, Resulting Numbers: [65, 37, 20]
Generated Node #2: [65, 37, 20] from Operation: 6+14=20
Current State: 48:[65, 37, 20], Operations: ['6+14=20']
Exploring Operation: 65-37=28, Resulting Numbers: [20, 28]
Generated Node #3: [20, 28] from Operation: 65-37=28
Current State: 48:[20, 28], Operations: ['6+14=20', '65-37=28']
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
43,
10,
3,
39
] | 18 | [
"43-10=33",
"39-33=6",
"3*6=18"
] | Current State: 18:[43, 10, 3, 39], Operations: []
Exploring Operation: 43-10=33, Resulting Numbers: [3, 39, 33]
Generated Node #2: [3, 39, 33] from Operation: 43-10=33
Current State: 18:[3, 39, 33], Operations: ['43-10=33']
Exploring Operation: 39-33=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 39-33=6
Current State: 18:[3, 6], Operations: ['43-10=33', '39-33=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
34,
77,
55,
84
] | 94 | [
"55*84=4620",
"4620/77=60",
"34+60=94"
] | Current State: 94:[34, 77, 55, 84], Operations: []
Exploring Operation: 55*84=4620, Resulting Numbers: [34, 77, 4620]
Generated Node #2: [34, 77, 4620] from Operation: 55*84=4620
Current State: 94:[34, 77, 4620], Operations: ['55*84=4620']
Exploring Operation: 4620/77=60, Resulting Numbers: [34, 60]
Generated Node #3: [34, 60] from Operation: 4620/77=60
Current State: 94:[34, 60], Operations: ['55*84=4620', '4620/77=60']
Exploring Operation: 34+60=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
29,
67,
32,
52
] | 12 | [
"29+67=96",
"32+52=84",
"96-84=12"
] | Current State: 12:[29, 67, 32, 52], Operations: []
Exploring Operation: 29+67=96, Resulting Numbers: [32, 52, 96]
Generated Node #2: [32, 52, 96] from Operation: 29+67=96
Current State: 12:[32, 52, 96], Operations: ['29+67=96']
Exploring Operation: 32+52=84, Resulting Numbers: [96, 84]
Generated Node #3: [96, 84] from Operation: 32+52=84
Current State: 12:[96, 84], Operations: ['29+67=96', '32+52=84']
Exploring Operation: 96-84=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
18,
94,
76,
79
] | 100 | [
"79-76=3",
"18/3=6",
"94+6=100"
] | Current State: 100:[18, 94, 76, 79], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [18, 94, 3]
Generated Node #2: [18, 94, 3] from Operation: 79-76=3
Current State: 100:[18, 94, 3], Operations: ['79-76=3']
Exploring Operation: 18/3=6, Resulting Numbers: [94, 6]
Generated Node #3: [94, 6] from Operation: 18/3=6
Current State: 100:[94, 6], Operations: ['79-76=3', '18/3=6']
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
34,
45,
36,
65
] | 90 | [
"45-34=11",
"36+65=101",
"101-11=90"
] | Current State: 90:[34, 45, 36, 65], Operations: []
Exploring Operation: 45-34=11, Resulting Numbers: [36, 65, 11]
Generated Node #2: [36, 65, 11] from Operation: 45-34=11
Current State: 90:[36, 65, 11], Operations: ['45-34=11']
Exploring Operation: 36+65=101, Resulting Numbers: [11, 101]
Generated Node #3: [11, 101] from Operation: 36+65=101
Current State: 90:[11, 101], Operations: ['45-34=11', '36+65=101']
Exploring Operation: 101-11=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
45,
9,
98,
80
] | 23 | [
"45/9=5",
"98-80=18",
"5+18=23"
] | Current State: 23:[45, 9, 98, 80], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [98, 80, 5]
Generated Node #2: [98, 80, 5] from Operation: 45/9=5
Current State: 23:[98, 80, 5], Operations: ['45/9=5']
Exploring Operation: 98-80=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 98-80=18
Current State: 23:[5, 18], Operations: ['45/9=5', '98-80=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
77,
2,
25,
51
] | 25 | [
"77-25=52",
"52/2=26",
"51-26=25"
] | Current State: 25:[77, 2, 25, 51], Operations: []
Exploring Operation: 77-25=52, Resulting Numbers: [2, 51, 52]
Generated Node #2: [2, 51, 52] from Operation: 77-25=52
Current State: 25:[2, 51, 52], Operations: ['77-25=52']
Exploring Operation: 52/2=26, Resulting Numbers: [51, 26]
Generated Node #3: [51, 26] from Operation: 52/2=26
Current State: 25:[51, 26], Operations: ['77-25=52', '52/2=26']
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
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