nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
93,
40,
36,
38
] | 59 | [
"93+40=133",
"36+38=74",
"133-74=59"
] | Current State: 59:[93, 40, 36, 38], Operations: []
Exploring Operation: 93+40=133, Resulting Numbers: [36, 38, 133]
Generated Node #2: [36, 38, 133] from Operation: 93+40=133
Current State: 59:[36, 38, 133], Operations: ['93+40=133']
Exploring Operation: 36+38=74, Resulting Numbers: [133, 74]
Generated Node #3: [133, 74] from Operation: 36+38=74
Current State: 59:[133, 74], Operations: ['93+40=133', '36+38=74']
Exploring Operation: 133-74=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
36,
50,
92,
2
] | 20 | [
"36*50=1800",
"92-2=90",
"1800/90=20"
] | Current State: 20:[36, 50, 92, 2], Operations: []
Exploring Operation: 36*50=1800, Resulting Numbers: [92, 2, 1800]
Generated Node #2: [92, 2, 1800] from Operation: 36*50=1800
Current State: 20:[92, 2, 1800], Operations: ['36*50=1800']
Exploring Operation: 92-2=90, Resulting Numbers: [1800, 90]
Generated Node #3: [1800, 90] from Operation: 92-2=90
Current State: 20:[1800, 90], Operations: ['36*50=1800', '92-2=90']
Exploring Operation: 1800/90=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
21,
6,
12,
12
] | 39 | [
"21-6=15",
"12+12=24",
"15+24=39"
] | Current State: 39:[21, 6, 12, 12], Operations: []
Exploring Operation: 21-6=15, Resulting Numbers: [12, 12, 15]
Generated Node #2: [12, 12, 15] from Operation: 21-6=15
Current State: 39:[12, 12, 15], Operations: ['21-6=15']
Exploring Operation: 12+12=24, Resulting Numbers: [15, 24]
Generated Node #3: [15, 24] from Operation: 12+12=24
Current State: 39:[15, 24], Operations: ['21-6=15', '12+12=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
77,
33,
86,
2
] | 31 | [
"77+33=110",
"110/2=55",
"86-55=31"
] | Current State: 31:[77, 33, 86, 2], Operations: []
Exploring Operation: 77+33=110, Resulting Numbers: [86, 2, 110]
Generated Node #2: [86, 2, 110] from Operation: 77+33=110
Current State: 31:[86, 2, 110], Operations: ['77+33=110']
Exploring Operation: 110/2=55, Resulting Numbers: [86, 55]
Generated Node #3: [86, 55] from Operation: 110/2=55
Current State: 31:[86, 55], Operations: ['77+33=110', '110/2=55']
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
2,
47,
65,
45
] | 72 | [
"2*45=90",
"65-47=18",
"90-18=72"
] | Current State: 72:[2, 47, 65, 45], Operations: []
Exploring Operation: 2*45=90, Resulting Numbers: [47, 65, 90]
Generated Node #2: [47, 65, 90] from Operation: 2*45=90
Current State: 72:[47, 65, 90], Operations: ['2*45=90']
Exploring Operation: 65-47=18, Resulting Numbers: [90, 18]
Generated Node #3: [90, 18] from Operation: 65-47=18
Current State: 72:[90, 18], Operations: ['2*45=90', '65-47=18']
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
91,
63,
23,
49
] | 94 | [
"91*63=5733",
"5733/49=117",
"117-23=94"
] | Current State: 94:[91, 63, 23, 49], Operations: []
Exploring Operation: 91*63=5733, Resulting Numbers: [23, 49, 5733]
Generated Node #2: [23, 49, 5733] from Operation: 91*63=5733
Current State: 94:[23, 49, 5733], Operations: ['91*63=5733']
Exploring Operation: 5733/49=117, Resulting Numbers: [23, 117]
Generated Node #3: [23, 117] from Operation: 5733/49=117
Current State: 94:[23, 117], Operations: ['91*63=5733', '5733/49=117']
Exploring Operation: 117-23=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
68,
38,
7,
12
] | 34 | [
"7+12=19",
"68*19=1292",
"1292/38=34"
] | Current State: 34:[68, 38, 7, 12], Operations: []
Exploring Operation: 7+12=19, Resulting Numbers: [68, 38, 19]
Generated Node #2: [68, 38, 19] from Operation: 7+12=19
Current State: 34:[68, 38, 19], Operations: ['7+12=19']
Exploring Operation: 68*19=1292, Resulting Numbers: [38, 1292]
Generated Node #3: [38, 1292] from Operation: 68*19=1292
Current State: 34:[38, 1292], Operations: ['7+12=19', '68*19=1292']
Exploring Operation: 1292/38=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
76,
52,
56,
25
] | 44 | [
"56-52=4",
"76/4=19",
"25+19=44"
] | Current State: 44:[76, 52, 56, 25], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [76, 25, 4]
Generated Node #2: [76, 25, 4] from Operation: 56-52=4
Current State: 44:[76, 25, 4], Operations: ['56-52=4']
Exploring Operation: 76/4=19, Resulting Numbers: [25, 19]
Generated Node #3: [25, 19] from Operation: 76/4=19
Current State: 44:[25, 19], Operations: ['56-52=4', '76/4=19']
Exploring Operation: 25+19=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
96,
24,
5,
45
] | 80 | [
"96+24=120",
"45-5=40",
"120-40=80"
] | Current State: 80:[96, 24, 5, 45], Operations: []
Exploring Operation: 96+24=120, Resulting Numbers: [5, 45, 120]
Generated Node #2: [5, 45, 120] from Operation: 96+24=120
Current State: 80:[5, 45, 120], Operations: ['96+24=120']
Exploring Operation: 45-5=40, Resulting Numbers: [120, 40]
Generated Node #3: [120, 40] from Operation: 45-5=40
Current State: 80:[120, 40], Operations: ['96+24=120', '45-5=40']
Exploring Operation: 120-40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
17,
14,
26,
95
] | 38 | [
"17+14=31",
"95-26=69",
"69-31=38"
] | Current State: 38:[17, 14, 26, 95], Operations: []
Exploring Operation: 17+14=31, Resulting Numbers: [26, 95, 31]
Generated Node #2: [26, 95, 31] from Operation: 17+14=31
Current State: 38:[26, 95, 31], Operations: ['17+14=31']
Exploring Operation: 95-26=69, Resulting Numbers: [31, 69]
Generated Node #3: [31, 69] from Operation: 95-26=69
Current State: 38:[31, 69], Operations: ['17+14=31', '95-26=69']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
2,
20,
41,
74
] | 80 | [
"74/2=37",
"41-37=4",
"20*4=80"
] | Current State: 80:[2, 20, 41, 74], Operations: []
Exploring Operation: 74/2=37, Resulting Numbers: [20, 41, 37]
Generated Node #2: [20, 41, 37] from Operation: 74/2=37
Current State: 80:[20, 41, 37], Operations: ['74/2=37']
Exploring Operation: 41-37=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 41-37=4
Current State: 80:[20, 4], Operations: ['74/2=37', '41-37=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
93,
62,
25,
64
] | 59 | [
"93+25=118",
"64-62=2",
"118/2=59"
] | Current State: 59:[93, 62, 25, 64], Operations: []
Exploring Operation: 93+25=118, Resulting Numbers: [62, 64, 118]
Generated Node #2: [62, 64, 118] from Operation: 93+25=118
Current State: 59:[62, 64, 118], Operations: ['93+25=118']
Exploring Operation: 64-62=2, Resulting Numbers: [118, 2]
Generated Node #3: [118, 2] from Operation: 64-62=2
Current State: 59:[118, 2], Operations: ['93+25=118', '64-62=2']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
33,
93,
2,
37
] | 26 | [
"33+93=126",
"126/2=63",
"63-37=26"
] | Current State: 26:[33, 93, 2, 37], Operations: []
Exploring Operation: 33+93=126, Resulting Numbers: [2, 37, 126]
Generated Node #2: [2, 37, 126] from Operation: 33+93=126
Current State: 26:[2, 37, 126], Operations: ['33+93=126']
Exploring Operation: 126/2=63, Resulting Numbers: [37, 63]
Generated Node #3: [37, 63] from Operation: 126/2=63
Current State: 26:[37, 63], Operations: ['33+93=126', '126/2=63']
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
31,
56,
38,
25
] | 88 | [
"56-31=25",
"38+25=63",
"25+63=88"
] | Current State: 88:[31, 56, 38, 25], Operations: []
Exploring Operation: 56-31=25, Resulting Numbers: [38, 25, 25]
Generated Node #2: [38, 25, 25] from Operation: 56-31=25
Current State: 88:[38, 25, 25], Operations: ['56-31=25']
Exploring Operation: 38+25=63, Resulting Numbers: [63]
63,88 equal: Goal Reached
Exploring Operation: 25+63=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
75,
15,
7,
3
] | 39 | [
"75-15=60",
"7*3=21",
"60-21=39"
] | Current State: 39:[75, 15, 7, 3], Operations: []
Exploring Operation: 75-15=60, Resulting Numbers: [7, 3, 60]
Generated Node #2: [7, 3, 60] from Operation: 75-15=60
Current State: 39:[7, 3, 60], Operations: ['75-15=60']
Exploring Operation: 7*3=21, Resulting Numbers: [60, 21]
Generated Node #3: [60, 21] from Operation: 7*3=21
Current State: 39:[60, 21], Operations: ['75-15=60', '7*3=21']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
2,
50,
71,
24
] | 95 | [
"50-2=48",
"71-24=47",
"48+47=95"
] | Current State: 95:[2, 50, 71, 24], Operations: []
Exploring Operation: 50-2=48, Resulting Numbers: [71, 24, 48]
Generated Node #2: [71, 24, 48] from Operation: 50-2=48
Current State: 95:[71, 24, 48], Operations: ['50-2=48']
Exploring Operation: 71-24=47, Resulting Numbers: [48, 47]
Generated Node #3: [48, 47] from Operation: 71-24=47
Current State: 95:[48, 47], Operations: ['50-2=48', '71-24=47']
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
70,
15,
35,
34
] | 32 | [
"70/35=2",
"34/2=17",
"15+17=32"
] | Current State: 32:[70, 15, 35, 34], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [15, 34, 2]
Generated Node #2: [15, 34, 2] from Operation: 70/35=2
Current State: 32:[15, 34, 2], Operations: ['70/35=2']
Exploring Operation: 34/2=17, Resulting Numbers: [15, 17]
Generated Node #3: [15, 17] from Operation: 34/2=17
Current State: 32:[15, 17], Operations: ['70/35=2', '34/2=17']
Exploring Operation: 15+17=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
66,
5,
96,
7
] | 81 | [
"66+96=162",
"7-5=2",
"162/2=81"
] | Current State: 81:[66, 5, 96, 7], Operations: []
Exploring Operation: 66+96=162, Resulting Numbers: [5, 7, 162]
Generated Node #2: [5, 7, 162] from Operation: 66+96=162
Current State: 81:[5, 7, 162], Operations: ['66+96=162']
Exploring Operation: 7-5=2, Resulting Numbers: [162, 2]
Generated Node #3: [162, 2] from Operation: 7-5=2
Current State: 81:[162, 2], Operations: ['66+96=162', '7-5=2']
Exploring Operation: 162/2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
31,
21,
3,
15
] | 99 | [
"31*3=93",
"21-15=6",
"93+6=99"
] | Current State: 99:[31, 21, 3, 15], Operations: []
Exploring Operation: 31*3=93, Resulting Numbers: [21, 15, 93]
Generated Node #2: [21, 15, 93] from Operation: 31*3=93
Current State: 99:[21, 15, 93], Operations: ['31*3=93']
Exploring Operation: 21-15=6, Resulting Numbers: [93, 6]
Generated Node #3: [93, 6] from Operation: 21-15=6
Current State: 99:[93, 6], Operations: ['31*3=93', '21-15=6']
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
14,
21,
59,
96
] | 30 | [
"21-14=7",
"96-59=37",
"37-7=30"
] | Current State: 30:[14, 21, 59, 96], Operations: []
Exploring Operation: 21-14=7, Resulting Numbers: [59, 96, 7]
Generated Node #2: [59, 96, 7] from Operation: 21-14=7
Current State: 30:[59, 96, 7], Operations: ['21-14=7']
Exploring Operation: 96-59=37, Resulting Numbers: [7, 37]
Generated Node #3: [7, 37] from Operation: 96-59=37
Current State: 30:[7, 37], Operations: ['21-14=7', '96-59=37']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
19,
13,
5,
7
] | 91 | [
"19-5=14",
"14-7=7",
"13*7=91"
] | Current State: 91:[19, 13, 5, 7], Operations: []
Exploring Operation: 19-5=14, Resulting Numbers: [13, 7, 14]
Generated Node #2: [13, 7, 14] from Operation: 19-5=14
Current State: 91:[13, 7, 14], Operations: ['19-5=14']
Exploring Operation: 14-7=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 14-7=7
Current State: 91:[13, 7], Operations: ['19-5=14', '14-7=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
64,
2,
46,
62
] | 94 | [
"64-62=2",
"2*46=92",
"2+92=94"
] | Current State: 94:[64, 2, 46, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [2, 46, 2]
Generated Node #2: [2, 46, 2] from Operation: 64-62=2
Current State: 94:[2, 46, 2], Operations: ['64-62=2']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,94 equal: Goal Reached
Exploring Operation: 2+92=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
46,
99,
13,
72
] | 24 | [
"46-13=33",
"99/33=3",
"72/3=24"
] | Current State: 24:[46, 99, 13, 72], Operations: []
Exploring Operation: 46-13=33, Resulting Numbers: [99, 72, 33]
Generated Node #2: [99, 72, 33] from Operation: 46-13=33
Current State: 24:[99, 72, 33], Operations: ['46-13=33']
Exploring Operation: 99/33=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 99/33=3
Current State: 24:[72, 3], Operations: ['46-13=33', '99/33=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
40,
13,
78,
9
] | 34 | [
"40+13=53",
"78+9=87",
"87-53=34"
] | Current State: 34:[40, 13, 78, 9], Operations: []
Exploring Operation: 40+13=53, Resulting Numbers: [78, 9, 53]
Generated Node #2: [78, 9, 53] from Operation: 40+13=53
Current State: 34:[78, 9, 53], Operations: ['40+13=53']
Exploring Operation: 78+9=87, Resulting Numbers: [53, 87]
Generated Node #3: [53, 87] from Operation: 78+9=87
Current State: 34:[53, 87], Operations: ['40+13=53', '78+9=87']
Exploring Operation: 87-53=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
49,
42,
16,
86
] | 80 | [
"49+42=91",
"91-86=5",
"16*5=80"
] | Current State: 80:[49, 42, 16, 86], Operations: []
Exploring Operation: 49+42=91, Resulting Numbers: [16, 86, 91]
Generated Node #2: [16, 86, 91] from Operation: 49+42=91
Current State: 80:[16, 86, 91], Operations: ['49+42=91']
Exploring Operation: 91-86=5, Resulting Numbers: [16, 5]
Generated Node #3: [16, 5] from Operation: 91-86=5
Current State: 80:[16, 5], Operations: ['49+42=91', '91-86=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
89,
93,
72,
27
] | 45 | [
"93-89=4",
"72/4=18",
"27+18=45"
] | Current State: 45:[89, 93, 72, 27], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [72, 27, 4]
Generated Node #2: [72, 27, 4] from Operation: 93-89=4
Current State: 45:[72, 27, 4], Operations: ['93-89=4']
Exploring Operation: 72/4=18, Resulting Numbers: [27, 18]
Generated Node #3: [27, 18] from Operation: 72/4=18
Current State: 45:[27, 18], Operations: ['93-89=4', '72/4=18']
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
92,
55,
30,
49
] | 42 | [
"92-55=37",
"30+49=79",
"79-37=42"
] | Current State: 42:[92, 55, 30, 49], Operations: []
Exploring Operation: 92-55=37, Resulting Numbers: [30, 49, 37]
Generated Node #2: [30, 49, 37] from Operation: 92-55=37
Current State: 42:[30, 49, 37], Operations: ['92-55=37']
Exploring Operation: 30+49=79, Resulting Numbers: [37, 79]
Generated Node #3: [37, 79] from Operation: 30+49=79
Current State: 42:[37, 79], Operations: ['92-55=37', '30+49=79']
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
32,
41,
11,
82
] | 17 | [
"41-32=9",
"11*9=99",
"99-82=17"
] | Current State: 17:[32, 41, 11, 82], Operations: []
Exploring Operation: 41-32=9, Resulting Numbers: [11, 82, 9]
Generated Node #2: [11, 82, 9] from Operation: 41-32=9
Current State: 17:[11, 82, 9], Operations: ['41-32=9']
Exploring Operation: 11*9=99, Resulting Numbers: [82, 99]
Generated Node #3: [82, 99] from Operation: 11*9=99
Current State: 17:[82, 99], Operations: ['41-32=9', '11*9=99']
Exploring Operation: 99-82=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
53,
53,
32,
30
] | 44 | [
"53+53=106",
"32+30=62",
"106-62=44"
] | Current State: 44:[53, 53, 32, 30], Operations: []
Exploring Operation: 53+53=106, Resulting Numbers: [32, 30, 106]
Generated Node #2: [32, 30, 106] from Operation: 53+53=106
Current State: 44:[32, 30, 106], Operations: ['53+53=106']
Exploring Operation: 32+30=62, Resulting Numbers: [106, 62]
Generated Node #3: [106, 62] from Operation: 32+30=62
Current State: 44:[106, 62], Operations: ['53+53=106', '32+30=62']
Exploring Operation: 106-62=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
16,
54,
93
] | 25 | [
"16-2=14",
"93-54=39",
"39-14=25"
] | Current State: 25:[2, 16, 54, 93], Operations: []
Exploring Operation: 16-2=14, Resulting Numbers: [54, 93, 14]
Generated Node #2: [54, 93, 14] from Operation: 16-2=14
Current State: 25:[54, 93, 14], Operations: ['16-2=14']
Exploring Operation: 93-54=39, Resulting Numbers: [14, 39]
Generated Node #3: [14, 39] from Operation: 93-54=39
Current State: 25:[14, 39], Operations: ['16-2=14', '93-54=39']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
75,
46,
35,
53
] | 80 | [
"53-46=7",
"35/7=5",
"75+5=80"
] | Current State: 80:[75, 46, 35, 53], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [75, 35, 7]
Generated Node #2: [75, 35, 7] from Operation: 53-46=7
Current State: 80:[75, 35, 7], Operations: ['53-46=7']
Exploring Operation: 35/7=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 35/7=5
Current State: 80:[75, 5], Operations: ['53-46=7', '35/7=5']
Exploring Operation: 75+5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
61,
52,
77,
28
] | 40 | [
"61-52=9",
"77-28=49",
"49-9=40"
] | Current State: 40:[61, 52, 77, 28], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [77, 28, 9]
Generated Node #2: [77, 28, 9] from Operation: 61-52=9
Current State: 40:[77, 28, 9], Operations: ['61-52=9']
Exploring Operation: 77-28=49, Resulting Numbers: [9, 49]
Generated Node #3: [9, 49] from Operation: 77-28=49
Current State: 40:[9, 49], Operations: ['61-52=9', '77-28=49']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
43,
57,
25,
98
] | 32 | [
"57-43=14",
"98/14=7",
"25+7=32"
] | Current State: 32:[43, 57, 25, 98], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [25, 98, 14]
Generated Node #2: [25, 98, 14] from Operation: 57-43=14
Current State: 32:[25, 98, 14], Operations: ['57-43=14']
Exploring Operation: 98/14=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 98/14=7
Current State: 32:[25, 7], Operations: ['57-43=14', '98/14=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
69,
15,
90,
99
] | 28 | [
"69+99=168",
"90/15=6",
"168/6=28"
] | Current State: 28:[69, 15, 90, 99], Operations: []
Exploring Operation: 69+99=168, Resulting Numbers: [15, 90, 168]
Generated Node #2: [15, 90, 168] from Operation: 69+99=168
Current State: 28:[15, 90, 168], Operations: ['69+99=168']
Exploring Operation: 90/15=6, Resulting Numbers: [168, 6]
Generated Node #3: [168, 6] from Operation: 90/15=6
Current State: 28:[168, 6], Operations: ['69+99=168', '90/15=6']
Exploring Operation: 168/6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
97,
31,
74,
40
] | 100 | [
"97-31=66",
"74-40=34",
"66+34=100"
] | Current State: 100:[97, 31, 74, 40], Operations: []
Exploring Operation: 97-31=66, Resulting Numbers: [74, 40, 66]
Generated Node #2: [74, 40, 66] from Operation: 97-31=66
Current State: 100:[74, 40, 66], Operations: ['97-31=66']
Exploring Operation: 74-40=34, Resulting Numbers: [66, 34]
Generated Node #3: [66, 34] from Operation: 74-40=34
Current State: 100:[66, 34], Operations: ['97-31=66', '74-40=34']
Exploring Operation: 66+34=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
55,
16,
1,
5
] | 76 | [
"55+16=71",
"1*5=5",
"71+5=76"
] | Current State: 76:[55, 16, 1, 5], Operations: []
Exploring Operation: 55+16=71, Resulting Numbers: [1, 5, 71]
Generated Node #2: [1, 5, 71] from Operation: 55+16=71
Current State: 76:[1, 5, 71], Operations: ['55+16=71']
Exploring Operation: 1*5=5, Resulting Numbers: [71, 5]
Generated Node #3: [71, 5] from Operation: 1*5=5
Current State: 76:[71, 5], Operations: ['55+16=71', '1*5=5']
Exploring Operation: 71+5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
57,
56,
35,
6
] | 41 | [
"57-56=1",
"35+6=41",
"1*41=41"
] | Current State: 41:[57, 56, 35, 6], Operations: []
Exploring Operation: 57-56=1, Resulting Numbers: [35, 6, 1]
Generated Node #2: [35, 6, 1] from Operation: 57-56=1
Current State: 41:[35, 6, 1], Operations: ['57-56=1']
Exploring Operation: 35+6=41, Resulting Numbers: [1, 41]
Generated Node #3: [1, 41] from Operation: 35+6=41
Current State: 41:[1, 41], Operations: ['57-56=1', '35+6=41']
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
80,
55,
6,
70
] | 51 | [
"80-55=25",
"6+70=76",
"76-25=51"
] | Current State: 51:[80, 55, 6, 70], Operations: []
Exploring Operation: 80-55=25, Resulting Numbers: [6, 70, 25]
Generated Node #2: [6, 70, 25] from Operation: 80-55=25
Current State: 51:[6, 70, 25], Operations: ['80-55=25']
Exploring Operation: 6+70=76, Resulting Numbers: [25, 76]
Generated Node #3: [25, 76] from Operation: 6+70=76
Current State: 51:[25, 76], Operations: ['80-55=25', '6+70=76']
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
6,
72,
3,
42
] | 58 | [
"6-3=3",
"42/3=14",
"72-14=58"
] | Current State: 58:[6, 72, 3, 42], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [72, 42, 3]
Generated Node #2: [72, 42, 3] from Operation: 6-3=3
Current State: 58:[72, 42, 3], Operations: ['6-3=3']
Exploring Operation: 42/3=14, Resulting Numbers: [72, 14]
Generated Node #3: [72, 14] from Operation: 42/3=14
Current State: 58:[72, 14], Operations: ['6-3=3', '42/3=14']
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
66,
53,
38,
96
] | 71 | [
"66-53=13",
"96-38=58",
"13+58=71"
] | Current State: 71:[66, 53, 38, 96], Operations: []
Exploring Operation: 66-53=13, Resulting Numbers: [38, 96, 13]
Generated Node #2: [38, 96, 13] from Operation: 66-53=13
Current State: 71:[38, 96, 13], Operations: ['66-53=13']
Exploring Operation: 96-38=58, Resulting Numbers: [13, 58]
Generated Node #3: [13, 58] from Operation: 96-38=58
Current State: 71:[13, 58], Operations: ['66-53=13', '96-38=58']
Exploring Operation: 13+58=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
94,
11,
27,
33
] | 13 | [
"33/11=3",
"27*3=81",
"94-81=13"
] | Current State: 13:[94, 11, 27, 33], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [94, 27, 3]
Generated Node #2: [94, 27, 3] from Operation: 33/11=3
Current State: 13:[94, 27, 3], Operations: ['33/11=3']
Exploring Operation: 27*3=81, Resulting Numbers: [94, 81]
Generated Node #3: [94, 81] from Operation: 27*3=81
Current State: 13:[94, 81], Operations: ['33/11=3', '27*3=81']
Exploring Operation: 94-81=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
52,
44,
26,
56
] | 16 | [
"52/26=2",
"56/2=28",
"44-28=16"
] | Current State: 16:[52, 44, 26, 56], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [44, 56, 2]
Generated Node #2: [44, 56, 2] from Operation: 52/26=2
Current State: 16:[44, 56, 2], Operations: ['52/26=2']
Exploring Operation: 56/2=28, Resulting Numbers: [44, 28]
Generated Node #3: [44, 28] from Operation: 56/2=28
Current State: 16:[44, 28], Operations: ['52/26=2', '56/2=28']
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
51,
74,
61,
26
] | 12 | [
"74-51=23",
"61-26=35",
"35-23=12"
] | Current State: 12:[51, 74, 61, 26], Operations: []
Exploring Operation: 74-51=23, Resulting Numbers: [61, 26, 23]
Generated Node #2: [61, 26, 23] from Operation: 74-51=23
Current State: 12:[61, 26, 23], Operations: ['74-51=23']
Exploring Operation: 61-26=35, Resulting Numbers: [23, 35]
Generated Node #3: [23, 35] from Operation: 61-26=35
Current State: 12:[23, 35], Operations: ['74-51=23', '61-26=35']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
62,
9,
92,
64
] | 55 | [
"64-62=2",
"92/2=46",
"9+46=55"
] | Current State: 55:[62, 9, 92, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [9, 92, 2]
Generated Node #2: [9, 92, 2] from Operation: 64-62=2
Current State: 55:[9, 92, 2], Operations: ['64-62=2']
Exploring Operation: 92/2=46, Resulting Numbers: [9, 46]
Generated Node #3: [9, 46] from Operation: 92/2=46
Current State: 55:[9, 46], Operations: ['64-62=2', '92/2=46']
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
72,
63,
66,
54
] | 69 | [
"66-54=12",
"72/12=6",
"63+6=69"
] | Current State: 69:[72, 63, 66, 54], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [72, 63, 12]
Generated Node #2: [72, 63, 12] from Operation: 66-54=12
Current State: 69:[72, 63, 12], Operations: ['66-54=12']
Exploring Operation: 72/12=6, Resulting Numbers: [63, 6]
Generated Node #3: [63, 6] from Operation: 72/12=6
Current State: 69:[63, 6], Operations: ['66-54=12', '72/12=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
97,
13,
90
] | 19 | [
"97-13=84",
"13+90=103",
"103-84=19"
] | Current State: 19:[13, 97, 13, 90], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [90, 84]
Generated Node #2: [90, 84] from Operation: 97-13=84
Current State: 19:[90, 84], Operations: ['97-13=84']
Exploring Operation: 13+90=103, Resulting Numbers: [84, 103]
Generated Node #3: [84, 103] from Operation: 13+90=103
Current State: 19:[84, 103], Operations: ['97-13=84', '13+90=103']
Exploring Operation: 103-84=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
95,
86,
17,
78
] | 41 | [
"86-78=8",
"17*8=136",
"136-95=41"
] | Current State: 41:[95, 86, 17, 78], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [95, 17, 8]
Generated Node #2: [95, 17, 8] from Operation: 86-78=8
Current State: 41:[95, 17, 8], Operations: ['86-78=8']
Exploring Operation: 17*8=136, Resulting Numbers: [95, 136]
Generated Node #3: [95, 136] from Operation: 17*8=136
Current State: 41:[95, 136], Operations: ['86-78=8', '17*8=136']
Exploring Operation: 136-95=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
82,
25,
84,
42
] | 15 | [
"82-25=57",
"84-42=42",
"57-42=15"
] | Current State: 15:[82, 25, 84, 42], Operations: []
Exploring Operation: 82-25=57, Resulting Numbers: [84, 42, 57]
Generated Node #2: [84, 42, 57] from Operation: 82-25=57
Current State: 15:[84, 42, 57], Operations: ['82-25=57']
Exploring Operation: 84-42=42, Resulting Numbers: [57, 42]
Generated Node #3: [57, 42] from Operation: 84-42=42
Current State: 15:[57, 42], Operations: ['82-25=57', '84-42=42']
Exploring Operation: 57-42=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
60,
10,
66,
63
] | 90 | [
"66-63=3",
"10*3=30",
"60+30=90"
] | Current State: 90:[60, 10, 66, 63], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [60, 10, 3]
Generated Node #2: [60, 10, 3] from Operation: 66-63=3
Current State: 90:[60, 10, 3], Operations: ['66-63=3']
Exploring Operation: 10*3=30, Resulting Numbers: [60, 30]
Generated Node #3: [60, 30] from Operation: 10*3=30
Current State: 90:[60, 30], Operations: ['66-63=3', '10*3=30']
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
40,
80,
9,
12
] | 100 | [
"80*9=720",
"720/12=60",
"40+60=100"
] | Current State: 100:[40, 80, 9, 12], Operations: []
Exploring Operation: 80*9=720, Resulting Numbers: [40, 12, 720]
Generated Node #2: [40, 12, 720] from Operation: 80*9=720
Current State: 100:[40, 12, 720], Operations: ['80*9=720']
Exploring Operation: 720/12=60, Resulting Numbers: [40, 60]
Generated Node #3: [40, 60] from Operation: 720/12=60
Current State: 100:[40, 60], Operations: ['80*9=720', '720/12=60']
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
19,
94,
46,
60
] | 29 | [
"19*94=1786",
"1786-46=1740",
"1740/60=29"
] | Current State: 29:[19, 94, 46, 60], Operations: []
Exploring Operation: 19*94=1786, Resulting Numbers: [46, 60, 1786]
Generated Node #2: [46, 60, 1786] from Operation: 19*94=1786
Current State: 29:[46, 60, 1786], Operations: ['19*94=1786']
Exploring Operation: 1786-46=1740, Resulting Numbers: [60, 1740]
Generated Node #3: [60, 1740] from Operation: 1786-46=1740
Current State: 29:[60, 1740], Operations: ['19*94=1786', '1786-46=1740']
Exploring Operation: 1740/60=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
51,
54,
81,
57
] | 72 | [
"54-51=3",
"81-57=24",
"3*24=72"
] | Current State: 72:[51, 54, 81, 57], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [81, 57, 3]
Generated Node #2: [81, 57, 3] from Operation: 54-51=3
Current State: 72:[81, 57, 3], Operations: ['54-51=3']
Exploring Operation: 81-57=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 81-57=24
Current State: 72:[3, 24], Operations: ['54-51=3', '81-57=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
43,
3,
65,
67
] | 80 | [
"43-3=40",
"67-65=2",
"40*2=80"
] | Current State: 80:[43, 3, 65, 67], Operations: []
Exploring Operation: 43-3=40, Resulting Numbers: [65, 67, 40]
Generated Node #2: [65, 67, 40] from Operation: 43-3=40
Current State: 80:[65, 67, 40], Operations: ['43-3=40']
Exploring Operation: 67-65=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 67-65=2
Current State: 80:[40, 2], Operations: ['43-3=40', '67-65=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
40,
35,
34,
23
] | 43 | [
"35+34=69",
"69/23=3",
"40+3=43"
] | Current State: 43:[40, 35, 34, 23], Operations: []
Exploring Operation: 35+34=69, Resulting Numbers: [40, 23, 69]
Generated Node #2: [40, 23, 69] from Operation: 35+34=69
Current State: 43:[40, 23, 69], Operations: ['35+34=69']
Exploring Operation: 69/23=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 69/23=3
Current State: 43:[40, 3], Operations: ['35+34=69', '69/23=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
42,
32,
13,
30
] | 28 | [
"42*30=1260",
"32+13=45",
"1260/45=28"
] | Current State: 28:[42, 32, 13, 30], Operations: []
Exploring Operation: 42*30=1260, Resulting Numbers: [32, 13, 1260]
Generated Node #2: [32, 13, 1260] from Operation: 42*30=1260
Current State: 28:[32, 13, 1260], Operations: ['42*30=1260']
Exploring Operation: 32+13=45, Resulting Numbers: [1260, 45]
Generated Node #3: [1260, 45] from Operation: 32+13=45
Current State: 28:[1260, 45], Operations: ['42*30=1260', '32+13=45']
Exploring Operation: 1260/45=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
11,
20,
12,
33
] | 52 | [
"11+20=31",
"33-12=21",
"31+21=52"
] | Current State: 52:[11, 20, 12, 33], Operations: []
Exploring Operation: 11+20=31, Resulting Numbers: [12, 33, 31]
Generated Node #2: [12, 33, 31] from Operation: 11+20=31
Current State: 52:[12, 33, 31], Operations: ['11+20=31']
Exploring Operation: 33-12=21, Resulting Numbers: [31, 21]
Generated Node #3: [31, 21] from Operation: 33-12=21
Current State: 52:[31, 21], Operations: ['11+20=31', '33-12=21']
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
59,
72,
2,
58
] | 15 | [
"59+72=131",
"2*58=116",
"131-116=15"
] | Current State: 15:[59, 72, 2, 58], Operations: []
Exploring Operation: 59+72=131, Resulting Numbers: [2, 58, 131]
Generated Node #2: [2, 58, 131] from Operation: 59+72=131
Current State: 15:[2, 58, 131], Operations: ['59+72=131']
Exploring Operation: 2*58=116, Resulting Numbers: [131, 116]
Generated Node #3: [131, 116] from Operation: 2*58=116
Current State: 15:[131, 116], Operations: ['59+72=131', '2*58=116']
Exploring Operation: 131-116=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
13,
20,
94,
26
] | 35 | [
"13+20=33",
"94-26=68",
"68-33=35"
] | Current State: 35:[13, 20, 94, 26], Operations: []
Exploring Operation: 13+20=33, Resulting Numbers: [94, 26, 33]
Generated Node #2: [94, 26, 33] from Operation: 13+20=33
Current State: 35:[94, 26, 33], Operations: ['13+20=33']
Exploring Operation: 94-26=68, Resulting Numbers: [33, 68]
Generated Node #3: [33, 68] from Operation: 94-26=68
Current State: 35:[33, 68], Operations: ['13+20=33', '94-26=68']
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
2,
99,
86,
78
] | 26 | [
"78/2=39",
"99-86=13",
"39-13=26"
] | Current State: 26:[2, 99, 86, 78], Operations: []
Exploring Operation: 78/2=39, Resulting Numbers: [99, 86, 39]
Generated Node #2: [99, 86, 39] from Operation: 78/2=39
Current State: 26:[99, 86, 39], Operations: ['78/2=39']
Exploring Operation: 99-86=13, Resulting Numbers: [39, 13]
Generated Node #3: [39, 13] from Operation: 99-86=13
Current State: 26:[39, 13], Operations: ['78/2=39', '99-86=13']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
65,
63,
36,
44
] | 33 | [
"65-44=21",
"63/21=3",
"36-3=33"
] | Current State: 33:[65, 63, 36, 44], Operations: []
Exploring Operation: 65-44=21, Resulting Numbers: [63, 36, 21]
Generated Node #2: [63, 36, 21] from Operation: 65-44=21
Current State: 33:[63, 36, 21], Operations: ['65-44=21']
Exploring Operation: 63/21=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 63/21=3
Current State: 33:[36, 3], Operations: ['65-44=21', '63/21=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
23,
1,
51,
51
] | 25 | [
"23+1=24",
"51/51=1",
"24+1=25"
] | Current State: 25:[23, 1, 51, 51], Operations: []
Exploring Operation: 23+1=24, Resulting Numbers: [51, 51, 24]
Generated Node #2: [51, 51, 24] from Operation: 23+1=24
Current State: 25:[51, 51, 24], Operations: ['23+1=24']
Exploring Operation: 51/51=1, Resulting Numbers: [24, 1]
Generated Node #3: [24, 1] from Operation: 51/51=1
Current State: 25:[24, 1], Operations: ['23+1=24', '51/51=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
38,
17,
51,
6
] | 61 | [
"51-38=13",
"6*13=78",
"78-17=61"
] | Current State: 61:[38, 17, 51, 6], Operations: []
Exploring Operation: 51-38=13, Resulting Numbers: [17, 6, 13]
Generated Node #2: [17, 6, 13] from Operation: 51-38=13
Current State: 61:[17, 6, 13], Operations: ['51-38=13']
Exploring Operation: 6*13=78, Resulting Numbers: [17, 78]
Generated Node #3: [17, 78] from Operation: 6*13=78
Current State: 61:[17, 78], Operations: ['51-38=13', '6*13=78']
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
95,
73,
65,
20
] | 21 | [
"73*20=1460",
"1460-95=1365",
"1365/65=21"
] | Current State: 21:[95, 73, 65, 20], Operations: []
Exploring Operation: 73*20=1460, Resulting Numbers: [95, 65, 1460]
Generated Node #2: [95, 65, 1460] from Operation: 73*20=1460
Current State: 21:[95, 65, 1460], Operations: ['73*20=1460']
Exploring Operation: 1460-95=1365, Resulting Numbers: [65, 1365]
Generated Node #3: [65, 1365] from Operation: 1460-95=1365
Current State: 21:[65, 1365], Operations: ['73*20=1460', '1460-95=1365']
Exploring Operation: 1365/65=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
33,
1,
29,
33
] | 95 | [
"33*1=33",
"29+33=62",
"33+62=95"
] | Current State: 95:[33, 1, 29, 33], Operations: []
Exploring Operation: 33*1=33, Resulting Numbers: [29, 33]
Generated Node #2: [29, 33] from Operation: 33*1=33
Current State: 95:[29, 33], Operations: ['33*1=33']
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,95 equal: Goal Reached
Exploring Operation: 33+62=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
66,
63,
79,
84
] | 78 | [
"66*79=5214",
"63*84=5292",
"5292-5214=78"
] | Current State: 78:[66, 63, 79, 84], Operations: []
Exploring Operation: 66*79=5214, Resulting Numbers: [63, 84, 5214]
Generated Node #2: [63, 84, 5214] from Operation: 66*79=5214
Current State: 78:[63, 84, 5214], Operations: ['66*79=5214']
Exploring Operation: 63*84=5292, Resulting Numbers: [5214, 5292]
Generated Node #3: [5214, 5292] from Operation: 63*84=5292
Current State: 78:[5214, 5292], Operations: ['66*79=5214', '63*84=5292']
Exploring Operation: 5292-5214=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
41,
23,
14,
59
] | 91 | [
"41-23=18",
"14+59=73",
"18+73=91"
] | Current State: 91:[41, 23, 14, 59], Operations: []
Exploring Operation: 41-23=18, Resulting Numbers: [14, 59, 18]
Generated Node #2: [14, 59, 18] from Operation: 41-23=18
Current State: 91:[14, 59, 18], Operations: ['41-23=18']
Exploring Operation: 14+59=73, Resulting Numbers: [18, 73]
Generated Node #3: [18, 73] from Operation: 14+59=73
Current State: 91:[18, 73], Operations: ['41-23=18', '14+59=73']
Exploring Operation: 18+73=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
94,
48,
70,
94
] | 22 | [
"94+48=142",
"70+94=164",
"164-142=22"
] | Current State: 22:[94, 48, 70, 94], Operations: []
Exploring Operation: 94+48=142, Resulting Numbers: [70, 142]
Generated Node #2: [70, 142] from Operation: 94+48=142
Current State: 22:[70, 142], Operations: ['94+48=142']
Exploring Operation: 70+94=164, Resulting Numbers: [142, 164]
Generated Node #3: [142, 164] from Operation: 70+94=164
Current State: 22:[142, 164], Operations: ['94+48=142', '70+94=164']
Exploring Operation: 164-142=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
61,
71,
71,
35
] | 27 | [
"61-35=26",
"71/71=1",
"26+1=27"
] | Current State: 27:[61, 71, 71, 35], Operations: []
Exploring Operation: 61-35=26, Resulting Numbers: [71, 71, 26]
Generated Node #2: [71, 71, 26] from Operation: 61-35=26
Current State: 27:[71, 71, 26], Operations: ['61-35=26']
Exploring Operation: 71/71=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 71/71=1
Current State: 27:[26, 1], Operations: ['61-35=26', '71/71=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
36,
55,
21,
50
] | 31 | [
"55+50=105",
"105/21=5",
"36-5=31"
] | Current State: 31:[36, 55, 21, 50], Operations: []
Exploring Operation: 55+50=105, Resulting Numbers: [36, 21, 105]
Generated Node #2: [36, 21, 105] from Operation: 55+50=105
Current State: 31:[36, 21, 105], Operations: ['55+50=105']
Exploring Operation: 105/21=5, Resulting Numbers: [36, 5]
Generated Node #3: [36, 5] from Operation: 105/21=5
Current State: 31:[36, 5], Operations: ['55+50=105', '105/21=5']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
45,
11,
79,
30
] | 83 | [
"45-11=34",
"79-30=49",
"34+49=83"
] | Current State: 83:[45, 11, 79, 30], Operations: []
Exploring Operation: 45-11=34, Resulting Numbers: [79, 30, 34]
Generated Node #2: [79, 30, 34] from Operation: 45-11=34
Current State: 83:[79, 30, 34], Operations: ['45-11=34']
Exploring Operation: 79-30=49, Resulting Numbers: [34, 49]
Generated Node #3: [34, 49] from Operation: 79-30=49
Current State: 83:[34, 49], Operations: ['45-11=34', '79-30=49']
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
28,
27,
64,
2
] | 90 | [
"64-28=36",
"27*2=54",
"36+54=90"
] | Current State: 90:[28, 27, 64, 2], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [27, 2, 36]
Generated Node #2: [27, 2, 36] from Operation: 64-28=36
Current State: 90:[27, 2, 36], Operations: ['64-28=36']
Exploring Operation: 27*2=54, Resulting Numbers: [36, 54]
Generated Node #3: [36, 54] from Operation: 27*2=54
Current State: 90:[36, 54], Operations: ['64-28=36', '27*2=54']
Exploring Operation: 36+54=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
94,
21,
50,
14
] | 91 | [
"94*21=1974",
"1974/14=141",
"141-50=91"
] | Current State: 91:[94, 21, 50, 14], Operations: []
Exploring Operation: 94*21=1974, Resulting Numbers: [50, 14, 1974]
Generated Node #2: [50, 14, 1974] from Operation: 94*21=1974
Current State: 91:[50, 14, 1974], Operations: ['94*21=1974']
Exploring Operation: 1974/14=141, Resulting Numbers: [50, 141]
Generated Node #3: [50, 141] from Operation: 1974/14=141
Current State: 91:[50, 141], Operations: ['94*21=1974', '1974/14=141']
Exploring Operation: 141-50=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
49,
79,
85,
44
] | 30 | [
"49-44=5",
"85-79=6",
"5*6=30"
] | Current State: 30:[49, 79, 85, 44], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [79, 85, 5]
Generated Node #2: [79, 85, 5] from Operation: 49-44=5
Current State: 30:[79, 85, 5], Operations: ['49-44=5']
Exploring Operation: 85-79=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 85-79=6
Current State: 30:[5, 6], Operations: ['49-44=5', '85-79=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
92,
8,
51,
17
] | 20 | [
"92+51=143",
"17+143=160",
"160/8=20"
] | Current State: 20:[92, 8, 51, 17], Operations: []
Exploring Operation: 92+51=143, Resulting Numbers: [8, 17, 143]
Generated Node #2: [8, 17, 143] from Operation: 92+51=143
Current State: 20:[8, 17, 143], Operations: ['92+51=143']
Exploring Operation: 17+143=160, Resulting Numbers: [8, 160]
Generated Node #3: [8, 160] from Operation: 17+143=160
Current State: 20:[8, 160], Operations: ['92+51=143', '17+143=160']
Exploring Operation: 160/8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
38,
94,
13,
51
] | 95 | [
"38+13=51",
"51/51=1",
"94+1=95"
] | Current State: 95:[38, 94, 13, 51], Operations: []
Exploring Operation: 38+13=51, Resulting Numbers: [94, 51, 51]
Generated Node #2: [94, 51, 51] from Operation: 38+13=51
Current State: 95:[94, 51, 51], Operations: ['38+13=51']
Exploring Operation: 51/51=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 51/51=1
Current State: 95:[94, 1], Operations: ['38+13=51', '51/51=1']
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
49,
7,
63,
90
] | 77 | [
"49*90=4410",
"4410/63=70",
"7+70=77"
] | Current State: 77:[49, 7, 63, 90], Operations: []
Exploring Operation: 49*90=4410, Resulting Numbers: [7, 63, 4410]
Generated Node #2: [7, 63, 4410] from Operation: 49*90=4410
Current State: 77:[7, 63, 4410], Operations: ['49*90=4410']
Exploring Operation: 4410/63=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 4410/63=70
Current State: 77:[7, 70], Operations: ['49*90=4410', '4410/63=70']
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
96,
53,
41,
59
] | 67 | [
"53-41=12",
"96/12=8",
"59+8=67"
] | Current State: 67:[96, 53, 41, 59], Operations: []
Exploring Operation: 53-41=12, Resulting Numbers: [96, 59, 12]
Generated Node #2: [96, 59, 12] from Operation: 53-41=12
Current State: 67:[96, 59, 12], Operations: ['53-41=12']
Exploring Operation: 96/12=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 96/12=8
Current State: 67:[59, 8], Operations: ['53-41=12', '96/12=8']
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
62,
53,
96,
89
] | 38 | [
"62*53=3286",
"96+3286=3382",
"3382/89=38"
] | Current State: 38:[62, 53, 96, 89], Operations: []
Exploring Operation: 62*53=3286, Resulting Numbers: [96, 89, 3286]
Generated Node #2: [96, 89, 3286] from Operation: 62*53=3286
Current State: 38:[96, 89, 3286], Operations: ['62*53=3286']
Exploring Operation: 96+3286=3382, Resulting Numbers: [89, 3382]
Generated Node #3: [89, 3382] from Operation: 96+3286=3382
Current State: 38:[89, 3382], Operations: ['62*53=3286', '96+3286=3382']
Exploring Operation: 3382/89=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
7,
30,
2,
98
] | 56 | [
"7*30=210",
"210-98=112",
"112/2=56"
] | Current State: 56:[7, 30, 2, 98], Operations: []
Exploring Operation: 7*30=210, Resulting Numbers: [2, 98, 210]
Generated Node #2: [2, 98, 210] from Operation: 7*30=210
Current State: 56:[2, 98, 210], Operations: ['7*30=210']
Exploring Operation: 210-98=112, Resulting Numbers: [2, 112]
Generated Node #3: [2, 112] from Operation: 210-98=112
Current State: 56:[2, 112], Operations: ['7*30=210', '210-98=112']
Exploring Operation: 112/2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
32,
6,
56,
2
] | 84 | [
"32-6=26",
"56+2=58",
"26+58=84"
] | Current State: 84:[32, 6, 56, 2], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [56, 2, 26]
Generated Node #2: [56, 2, 26] from Operation: 32-6=26
Current State: 84:[56, 2, 26], Operations: ['32-6=26']
Exploring Operation: 56+2=58, Resulting Numbers: [26, 58]
Generated Node #3: [26, 58] from Operation: 56+2=58
Current State: 84:[26, 58], Operations: ['32-6=26', '56+2=58']
Exploring Operation: 26+58=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
82,
2,
6,
21
] | 99 | [
"82+2=84",
"21-6=15",
"84+15=99"
] | Current State: 99:[82, 2, 6, 21], Operations: []
Exploring Operation: 82+2=84, Resulting Numbers: [6, 21, 84]
Generated Node #2: [6, 21, 84] from Operation: 82+2=84
Current State: 99:[6, 21, 84], Operations: ['82+2=84']
Exploring Operation: 21-6=15, Resulting Numbers: [84, 15]
Generated Node #3: [84, 15] from Operation: 21-6=15
Current State: 99:[84, 15], Operations: ['82+2=84', '21-6=15']
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
67,
42,
49,
71
] | 95 | [
"67-42=25",
"49+71=120",
"120-25=95"
] | Current State: 95:[67, 42, 49, 71], Operations: []
Exploring Operation: 67-42=25, Resulting Numbers: [49, 71, 25]
Generated Node #2: [49, 71, 25] from Operation: 67-42=25
Current State: 95:[49, 71, 25], Operations: ['67-42=25']
Exploring Operation: 49+71=120, Resulting Numbers: [25, 120]
Generated Node #3: [25, 120] from Operation: 49+71=120
Current State: 95:[25, 120], Operations: ['67-42=25', '49+71=120']
Exploring Operation: 120-25=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
68,
9,
77,
21
] | 39 | [
"68-9=59",
"77+21=98",
"98-59=39"
] | Current State: 39:[68, 9, 77, 21], Operations: []
Exploring Operation: 68-9=59, Resulting Numbers: [77, 21, 59]
Generated Node #2: [77, 21, 59] from Operation: 68-9=59
Current State: 39:[77, 21, 59], Operations: ['68-9=59']
Exploring Operation: 77+21=98, Resulting Numbers: [59, 98]
Generated Node #3: [59, 98] from Operation: 77+21=98
Current State: 39:[59, 98], Operations: ['68-9=59', '77+21=98']
Exploring Operation: 98-59=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
46,
39,
32,
90
] | 37 | [
"46+39=85",
"32+90=122",
"122-85=37"
] | Current State: 37:[46, 39, 32, 90], Operations: []
Exploring Operation: 46+39=85, Resulting Numbers: [32, 90, 85]
Generated Node #2: [32, 90, 85] from Operation: 46+39=85
Current State: 37:[32, 90, 85], Operations: ['46+39=85']
Exploring Operation: 32+90=122, Resulting Numbers: [85, 122]
Generated Node #3: [85, 122] from Operation: 32+90=122
Current State: 37:[85, 122], Operations: ['46+39=85', '32+90=122']
Exploring Operation: 122-85=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
92,
40,
84,
5
] | 43 | [
"92+40=132",
"84+5=89",
"132-89=43"
] | Current State: 43:[92, 40, 84, 5], Operations: []
Exploring Operation: 92+40=132, Resulting Numbers: [84, 5, 132]
Generated Node #2: [84, 5, 132] from Operation: 92+40=132
Current State: 43:[84, 5, 132], Operations: ['92+40=132']
Exploring Operation: 84+5=89, Resulting Numbers: [132, 89]
Generated Node #3: [132, 89] from Operation: 84+5=89
Current State: 43:[132, 89], Operations: ['92+40=132', '84+5=89']
Exploring Operation: 132-89=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
76,
93,
39,
85
] | 29 | [
"93-76=17",
"85-39=46",
"46-17=29"
] | Current State: 29:[76, 93, 39, 85], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [39, 85, 17]
Generated Node #2: [39, 85, 17] from Operation: 93-76=17
Current State: 29:[39, 85, 17], Operations: ['93-76=17']
Exploring Operation: 85-39=46, Resulting Numbers: [17, 46]
Generated Node #3: [17, 46] from Operation: 85-39=46
Current State: 29:[17, 46], Operations: ['93-76=17', '85-39=46']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
75,
29,
68,
89
] | 23 | [
"29*68=1972",
"75+1972=2047",
"2047/89=23"
] | Current State: 23:[75, 29, 68, 89], Operations: []
Exploring Operation: 29*68=1972, Resulting Numbers: [75, 89, 1972]
Generated Node #2: [75, 89, 1972] from Operation: 29*68=1972
Current State: 23:[75, 89, 1972], Operations: ['29*68=1972']
Exploring Operation: 75+1972=2047, Resulting Numbers: [89, 2047]
Generated Node #3: [89, 2047] from Operation: 75+1972=2047
Current State: 23:[89, 2047], Operations: ['29*68=1972', '75+1972=2047']
Exploring Operation: 2047/89=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
36,
63,
51,
33
] | 81 | [
"36+63=99",
"51-33=18",
"99-18=81"
] | Current State: 81:[36, 63, 51, 33], Operations: []
Exploring Operation: 36+63=99, Resulting Numbers: [51, 33, 99]
Generated Node #2: [51, 33, 99] from Operation: 36+63=99
Current State: 81:[51, 33, 99], Operations: ['36+63=99']
Exploring Operation: 51-33=18, Resulting Numbers: [99, 18]
Generated Node #3: [99, 18] from Operation: 51-33=18
Current State: 81:[99, 18], Operations: ['36+63=99', '51-33=18']
Exploring Operation: 99-18=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
54,
56,
33,
35
] | 31 | [
"56-54=2",
"33*2=66",
"66-35=31"
] | Current State: 31:[54, 56, 33, 35], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [33, 35, 2]
Generated Node #2: [33, 35, 2] from Operation: 56-54=2
Current State: 31:[33, 35, 2], Operations: ['56-54=2']
Exploring Operation: 33*2=66, Resulting Numbers: [35, 66]
Generated Node #3: [35, 66] from Operation: 33*2=66
Current State: 31:[35, 66], Operations: ['56-54=2', '33*2=66']
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
62,
67,
68,
46
] | 15 | [
"62+67=129",
"68+46=114",
"129-114=15"
] | Current State: 15:[62, 67, 68, 46], Operations: []
Exploring Operation: 62+67=129, Resulting Numbers: [68, 46, 129]
Generated Node #2: [68, 46, 129] from Operation: 62+67=129
Current State: 15:[68, 46, 129], Operations: ['62+67=129']
Exploring Operation: 68+46=114, Resulting Numbers: [129, 114]
Generated Node #3: [129, 114] from Operation: 68+46=114
Current State: 15:[129, 114], Operations: ['62+67=129', '68+46=114']
Exploring Operation: 129-114=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
4,
37,
93,
84
] | 29 | [
"4*37=148",
"93+84=177",
"177-148=29"
] | Current State: 29:[4, 37, 93, 84], Operations: []
Exploring Operation: 4*37=148, Resulting Numbers: [93, 84, 148]
Generated Node #2: [93, 84, 148] from Operation: 4*37=148
Current State: 29:[93, 84, 148], Operations: ['4*37=148']
Exploring Operation: 93+84=177, Resulting Numbers: [148, 177]
Generated Node #3: [148, 177] from Operation: 93+84=177
Current State: 29:[148, 177], Operations: ['4*37=148', '93+84=177']
Exploring Operation: 177-148=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
57,
83,
71,
11
] | 86 | [
"83-57=26",
"71-11=60",
"26+60=86"
] | Current State: 86:[57, 83, 71, 11], Operations: []
Exploring Operation: 83-57=26, Resulting Numbers: [71, 11, 26]
Generated Node #2: [71, 11, 26] from Operation: 83-57=26
Current State: 86:[71, 11, 26], Operations: ['83-57=26']
Exploring Operation: 71-11=60, Resulting Numbers: [26, 60]
Generated Node #3: [26, 60] from Operation: 71-11=60
Current State: 86:[26, 60], Operations: ['83-57=26', '71-11=60']
Exploring Operation: 26+60=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
83,
98,
6,
47
] | 68 | [
"98-83=15",
"6+47=53",
"15+53=68"
] | Current State: 68:[83, 98, 6, 47], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [6, 47, 15]
Generated Node #2: [6, 47, 15] from Operation: 98-83=15
Current State: 68:[6, 47, 15], Operations: ['98-83=15']
Exploring Operation: 6+47=53, Resulting Numbers: [15, 53]
Generated Node #3: [15, 53] from Operation: 6+47=53
Current State: 68:[15, 53], Operations: ['98-83=15', '6+47=53']
Exploring Operation: 15+53=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
58,
23,
3,
11
] | 65 | [
"23*11=253",
"253-58=195",
"195/3=65"
] | Current State: 65:[58, 23, 3, 11], Operations: []
Exploring Operation: 23*11=253, Resulting Numbers: [58, 3, 253]
Generated Node #2: [58, 3, 253] from Operation: 23*11=253
Current State: 65:[58, 3, 253], Operations: ['23*11=253']
Exploring Operation: 253-58=195, Resulting Numbers: [3, 195]
Generated Node #3: [3, 195] from Operation: 253-58=195
Current State: 65:[3, 195], Operations: ['23*11=253', '253-58=195']
Exploring Operation: 195/3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
89,
95,
4,
84
] | 42 | [
"95-89=6",
"6-4=2",
"84/2=42"
] | Current State: 42:[89, 95, 4, 84], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [4, 84, 6]
Generated Node #2: [4, 84, 6] from Operation: 95-89=6
Current State: 42:[4, 84, 6], Operations: ['95-89=6']
Exploring Operation: 6-4=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 6-4=2
Current State: 42:[84, 2], Operations: ['95-89=6', '6-4=2']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
25,
1,
45,
18
] | 37 | [
"25+1=26",
"45+18=63",
"63-26=37"
] | Current State: 37:[25, 1, 45, 18], Operations: []
Exploring Operation: 25+1=26, Resulting Numbers: [45, 18, 26]
Generated Node #2: [45, 18, 26] from Operation: 25+1=26
Current State: 37:[45, 18, 26], Operations: ['25+1=26']
Exploring Operation: 45+18=63, Resulting Numbers: [26, 63]
Generated Node #3: [26, 63] from Operation: 45+18=63
Current State: 37:[26, 63], Operations: ['25+1=26', '45+18=63']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
26,
4,
30,
11
] | 49 | [
"26+4=30",
"30-11=19",
"30+19=49"
] | Current State: 49:[26, 4, 30, 11], Operations: []
Exploring Operation: 26+4=30, Resulting Numbers: [30, 11, 30]
Generated Node #2: [30, 11, 30] from Operation: 26+4=30
Current State: 49:[30, 11, 30], Operations: ['26+4=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,49 equal: Goal Reached
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
8,
12,
60,
74
] | 89 | [
"12-8=4",
"60/4=15",
"74+15=89"
] | Current State: 89:[8, 12, 60, 74], Operations: []
Exploring Operation: 12-8=4, Resulting Numbers: [60, 74, 4]
Generated Node #2: [60, 74, 4] from Operation: 12-8=4
Current State: 89:[60, 74, 4], Operations: ['12-8=4']
Exploring Operation: 60/4=15, Resulting Numbers: [74, 15]
Generated Node #3: [74, 15] from Operation: 60/4=15
Current State: 89:[74, 15], Operations: ['12-8=4', '60/4=15']
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
39,
5,
79,
13
] | 81 | [
"39/13=3",
"5+79=84",
"84-3=81"
] | Current State: 81:[39, 5, 79, 13], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [5, 79, 3]
Generated Node #2: [5, 79, 3] from Operation: 39/13=3
Current State: 81:[5, 79, 3], Operations: ['39/13=3']
Exploring Operation: 5+79=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 5+79=84
Current State: 81:[3, 84], Operations: ['39/13=3', '5+79=84']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
2,
45,
66,
42
] | 66 | [
"2*45=90",
"66-42=24",
"90-24=66"
] | Current State: 66:[2, 45, 66, 42], Operations: []
Exploring Operation: 2*45=90, Resulting Numbers: [66, 42, 90]
Generated Node #2: [66, 42, 90] from Operation: 2*45=90
Current State: 66:[66, 42, 90], Operations: ['2*45=90']
Exploring Operation: 66-42=24, Resulting Numbers: [90, 24]
Generated Node #3: [90, 24] from Operation: 66-42=24
Current State: 66:[90, 24], Operations: ['2*45=90', '66-42=24']
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
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