nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
78,
70,
11,
86
] | 98 | [
"86-70=16",
"11*16=176",
"176-78=98"
] | Current State: 98:[78, 70, 11, 86], Operations: []
Exploring Operation: 86-70=16, Resulting Numbers: [78, 11, 16]
Generated Node #2: [78, 11, 16] from Operation: 86-70=16
Current State: 98:[78, 11, 16], Operations: ['86-70=16']
Exploring Operation: 11*16=176, Resulting Numbers: [78, 176]
Generated Node #3: [78, 176] from Operation: 11*16=176
Current State: 98:[78, 176], Operations: ['86-70=16', '11*16=176']
Exploring Operation: 176-78=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
35,
70,
51,
76
] | 50 | [
"70/35=2",
"76-51=25",
"2*25=50"
] | Current State: 50:[35, 70, 51, 76], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [51, 76, 2]
Generated Node #2: [51, 76, 2] from Operation: 70/35=2
Current State: 50:[51, 76, 2], Operations: ['70/35=2']
Exploring Operation: 76-51=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 76-51=25
Current State: 50:[2, 25], Operations: ['70/35=2', '76-51=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
78,
57,
32,
13
] | 66 | [
"78-57=21",
"32+13=45",
"21+45=66"
] | Current State: 66:[78, 57, 32, 13], Operations: []
Exploring Operation: 78-57=21, Resulting Numbers: [32, 13, 21]
Generated Node #2: [32, 13, 21] from Operation: 78-57=21
Current State: 66:[32, 13, 21], Operations: ['78-57=21']
Exploring Operation: 32+13=45, Resulting Numbers: [21, 45]
Generated Node #3: [21, 45] from Operation: 32+13=45
Current State: 66:[21, 45], Operations: ['78-57=21', '32+13=45']
Exploring Operation: 21+45=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
59,
88,
48,
10
] | 22 | [
"59-48=11",
"10*11=110",
"110-88=22"
] | Current State: 22:[59, 88, 48, 10], Operations: []
Exploring Operation: 59-48=11, Resulting Numbers: [88, 10, 11]
Generated Node #2: [88, 10, 11] from Operation: 59-48=11
Current State: 22:[88, 10, 11], Operations: ['59-48=11']
Exploring Operation: 10*11=110, Resulting Numbers: [88, 110]
Generated Node #3: [88, 110] from Operation: 10*11=110
Current State: 22:[88, 110], Operations: ['59-48=11', '10*11=110']
Exploring Operation: 110-88=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
58,
74,
9,
27
] | 13 | [
"74-58=16",
"27/9=3",
"16-3=13"
] | Current State: 13:[58, 74, 9, 27], Operations: []
Exploring Operation: 74-58=16, Resulting Numbers: [9, 27, 16]
Generated Node #2: [9, 27, 16] from Operation: 74-58=16
Current State: 13:[9, 27, 16], Operations: ['74-58=16']
Exploring Operation: 27/9=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 27/9=3
Current State: 13:[16, 3], Operations: ['74-58=16', '27/9=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
7,
75,
76,
42
] | 48 | [
"7+75=82",
"76-42=34",
"82-34=48"
] | Current State: 48:[7, 75, 76, 42], Operations: []
Exploring Operation: 7+75=82, Resulting Numbers: [76, 42, 82]
Generated Node #2: [76, 42, 82] from Operation: 7+75=82
Current State: 48:[76, 42, 82], Operations: ['7+75=82']
Exploring Operation: 76-42=34, Resulting Numbers: [82, 34]
Generated Node #3: [82, 34] from Operation: 76-42=34
Current State: 48:[82, 34], Operations: ['7+75=82', '76-42=34']
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
27,
29,
93,
76
] | 19 | [
"29-27=2",
"93-76=17",
"2+17=19"
] | Current State: 19:[27, 29, 93, 76], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [93, 76, 2]
Generated Node #2: [93, 76, 2] from Operation: 29-27=2
Current State: 19:[93, 76, 2], Operations: ['29-27=2']
Exploring Operation: 93-76=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 93-76=17
Current State: 19:[2, 17], Operations: ['29-27=2', '93-76=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
17,
18,
71,
34
] | 62 | [
"17*18=306",
"306/34=9",
"71-9=62"
] | Current State: 62:[17, 18, 71, 34], Operations: []
Exploring Operation: 17*18=306, Resulting Numbers: [71, 34, 306]
Generated Node #2: [71, 34, 306] from Operation: 17*18=306
Current State: 62:[71, 34, 306], Operations: ['17*18=306']
Exploring Operation: 306/34=9, Resulting Numbers: [71, 9]
Generated Node #3: [71, 9] from Operation: 306/34=9
Current State: 62:[71, 9], Operations: ['17*18=306', '306/34=9']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
79,
39,
10,
28
] | 80 | [
"79+39=118",
"10+28=38",
"118-38=80"
] | Current State: 80:[79, 39, 10, 28], Operations: []
Exploring Operation: 79+39=118, Resulting Numbers: [10, 28, 118]
Generated Node #2: [10, 28, 118] from Operation: 79+39=118
Current State: 80:[10, 28, 118], Operations: ['79+39=118']
Exploring Operation: 10+28=38, Resulting Numbers: [118, 38]
Generated Node #3: [118, 38] from Operation: 10+28=38
Current State: 80:[118, 38], Operations: ['79+39=118', '10+28=38']
Exploring Operation: 118-38=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
2,
30,
27,
64
] | 58 | [
"30-27=3",
"2*3=6",
"64-6=58"
] | Current State: 58:[2, 30, 27, 64], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [2, 64, 3]
Generated Node #2: [2, 64, 3] from Operation: 30-27=3
Current State: 58:[2, 64, 3], Operations: ['30-27=3']
Exploring Operation: 2*3=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 2*3=6
Current State: 58:[64, 6], Operations: ['30-27=3', '2*3=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
17,
60,
83,
63
] | 20 | [
"83-17=66",
"66-63=3",
"60/3=20"
] | Current State: 20:[17, 60, 83, 63], Operations: []
Exploring Operation: 83-17=66, Resulting Numbers: [60, 63, 66]
Generated Node #2: [60, 63, 66] from Operation: 83-17=66
Current State: 20:[60, 63, 66], Operations: ['83-17=66']
Exploring Operation: 66-63=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 66-63=3
Current State: 20:[60, 3], Operations: ['83-17=66', '66-63=3']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
93,
10,
98,
98
] | 96 | [
"98-93=5",
"10/5=2",
"98-2=96"
] | Current State: 96:[93, 10, 98, 98], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [10, 5]
Generated Node #2: [10, 5] from Operation: 98-93=5
Current State: 96:[10, 5], Operations: ['98-93=5']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,96 equal: Goal Reached
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
28,
6,
81,
97
] | 68 | [
"97-81=16",
"6*16=96",
"96-28=68"
] | Current State: 68:[28, 6, 81, 97], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [28, 6, 16]
Generated Node #2: [28, 6, 16] from Operation: 97-81=16
Current State: 68:[28, 6, 16], Operations: ['97-81=16']
Exploring Operation: 6*16=96, Resulting Numbers: [28, 96]
Generated Node #3: [28, 96] from Operation: 6*16=96
Current State: 68:[28, 96], Operations: ['97-81=16', '6*16=96']
Exploring Operation: 96-28=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
13,
15,
15,
5
] | 64 | [
"13*5=65",
"15/15=1",
"65-1=64"
] | Current State: 64:[13, 15, 15, 5], Operations: []
Exploring Operation: 13*5=65, Resulting Numbers: [15, 15, 65]
Generated Node #2: [15, 15, 65] from Operation: 13*5=65
Current State: 64:[15, 15, 65], Operations: ['13*5=65']
Exploring Operation: 15/15=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 15/15=1
Current State: 64:[65, 1], Operations: ['13*5=65', '15/15=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
31,
96,
18,
12
] | 26 | [
"31*12=372",
"96+372=468",
"468/18=26"
] | Current State: 26:[31, 96, 18, 12], Operations: []
Exploring Operation: 31*12=372, Resulting Numbers: [96, 18, 372]
Generated Node #2: [96, 18, 372] from Operation: 31*12=372
Current State: 26:[96, 18, 372], Operations: ['31*12=372']
Exploring Operation: 96+372=468, Resulting Numbers: [18, 468]
Generated Node #3: [18, 468] from Operation: 96+372=468
Current State: 26:[18, 468], Operations: ['31*12=372', '96+372=468']
Exploring Operation: 468/18=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
75,
16,
91,
66
] | 67 | [
"75+16=91",
"91/91=1",
"66+1=67"
] | Current State: 67:[75, 16, 91, 66], Operations: []
Exploring Operation: 75+16=91, Resulting Numbers: [91, 66, 91]
Generated Node #2: [91, 66, 91] from Operation: 75+16=91
Current State: 67:[91, 66, 91], Operations: ['75+16=91']
Exploring Operation: 91/91=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 91/91=1
Current State: 67:[66, 1], Operations: ['75+16=91', '91/91=1']
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
66,
43,
3,
49
] | 48 | [
"49-43=6",
"3*6=18",
"66-18=48"
] | Current State: 48:[66, 43, 3, 49], Operations: []
Exploring Operation: 49-43=6, Resulting Numbers: [66, 3, 6]
Generated Node #2: [66, 3, 6] from Operation: 49-43=6
Current State: 48:[66, 3, 6], Operations: ['49-43=6']
Exploring Operation: 3*6=18, Resulting Numbers: [66, 18]
Generated Node #3: [66, 18] from Operation: 3*6=18
Current State: 48:[66, 18], Operations: ['49-43=6', '3*6=18']
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
45,
66,
92,
51
] | 81 | [
"51-45=6",
"66/6=11",
"92-11=81"
] | Current State: 81:[45, 66, 92, 51], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [66, 92, 6]
Generated Node #2: [66, 92, 6] from Operation: 51-45=6
Current State: 81:[66, 92, 6], Operations: ['51-45=6']
Exploring Operation: 66/6=11, Resulting Numbers: [92, 11]
Generated Node #3: [92, 11] from Operation: 66/6=11
Current State: 81:[92, 11], Operations: ['51-45=6', '66/6=11']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
4,
90,
66,
71
] | 10 | [
"66-4=62",
"71-62=9",
"90/9=10"
] | Current State: 10:[4, 90, 66, 71], Operations: []
Exploring Operation: 66-4=62, Resulting Numbers: [90, 71, 62]
Generated Node #2: [90, 71, 62] from Operation: 66-4=62
Current State: 10:[90, 71, 62], Operations: ['66-4=62']
Exploring Operation: 71-62=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 71-62=9
Current State: 10:[90, 9], Operations: ['66-4=62', '71-62=9']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
62,
72,
13,
55
] | 63 | [
"62+55=117",
"117/13=9",
"72-9=63"
] | Current State: 63:[62, 72, 13, 55], Operations: []
Exploring Operation: 62+55=117, Resulting Numbers: [72, 13, 117]
Generated Node #2: [72, 13, 117] from Operation: 62+55=117
Current State: 63:[72, 13, 117], Operations: ['62+55=117']
Exploring Operation: 117/13=9, Resulting Numbers: [72, 9]
Generated Node #3: [72, 9] from Operation: 117/13=9
Current State: 63:[72, 9], Operations: ['62+55=117', '117/13=9']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
99,
52,
4,
64
] | 33 | [
"99*4=396",
"64-52=12",
"396/12=33"
] | Current State: 33:[99, 52, 4, 64], Operations: []
Exploring Operation: 99*4=396, Resulting Numbers: [52, 64, 396]
Generated Node #2: [52, 64, 396] from Operation: 99*4=396
Current State: 33:[52, 64, 396], Operations: ['99*4=396']
Exploring Operation: 64-52=12, Resulting Numbers: [396, 12]
Generated Node #3: [396, 12] from Operation: 64-52=12
Current State: 33:[396, 12], Operations: ['99*4=396', '64-52=12']
Exploring Operation: 396/12=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
45,
97,
79,
37
] | 100 | [
"45+97=142",
"79-37=42",
"142-42=100"
] | Current State: 100:[45, 97, 79, 37], Operations: []
Exploring Operation: 45+97=142, Resulting Numbers: [79, 37, 142]
Generated Node #2: [79, 37, 142] from Operation: 45+97=142
Current State: 100:[79, 37, 142], Operations: ['45+97=142']
Exploring Operation: 79-37=42, Resulting Numbers: [142, 42]
Generated Node #3: [142, 42] from Operation: 79-37=42
Current State: 100:[142, 42], Operations: ['45+97=142', '79-37=42']
Exploring Operation: 142-42=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
98,
3,
20,
22
] | 93 | [
"98-3=95",
"22-20=2",
"95-2=93"
] | Current State: 93:[98, 3, 20, 22], Operations: []
Exploring Operation: 98-3=95, Resulting Numbers: [20, 22, 95]
Generated Node #2: [20, 22, 95] from Operation: 98-3=95
Current State: 93:[20, 22, 95], Operations: ['98-3=95']
Exploring Operation: 22-20=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 22-20=2
Current State: 93:[95, 2], Operations: ['98-3=95', '22-20=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
51,
53,
48,
9
] | 96 | [
"53-48=5",
"9*5=45",
"51+45=96"
] | Current State: 96:[51, 53, 48, 9], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [51, 9, 5]
Generated Node #2: [51, 9, 5] from Operation: 53-48=5
Current State: 96:[51, 9, 5], Operations: ['53-48=5']
Exploring Operation: 9*5=45, Resulting Numbers: [51, 45]
Generated Node #3: [51, 45] from Operation: 9*5=45
Current State: 96:[51, 45], Operations: ['53-48=5', '9*5=45']
Exploring Operation: 51+45=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
68,
62,
30,
2
] | 95 | [
"68+62=130",
"130/2=65",
"30+65=95"
] | Current State: 95:[68, 62, 30, 2], Operations: []
Exploring Operation: 68+62=130, Resulting Numbers: [30, 2, 130]
Generated Node #2: [30, 2, 130] from Operation: 68+62=130
Current State: 95:[30, 2, 130], Operations: ['68+62=130']
Exploring Operation: 130/2=65, Resulting Numbers: [30, 65]
Generated Node #3: [30, 65] from Operation: 130/2=65
Current State: 95:[30, 65], Operations: ['68+62=130', '130/2=65']
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
25,
6,
20,
31
] | 31 | [
"25-6=19",
"20-19=1",
"31*1=31"
] | Current State: 31:[25, 6, 20, 31], Operations: []
Exploring Operation: 25-6=19, Resulting Numbers: [20, 31, 19]
Generated Node #2: [20, 31, 19] from Operation: 25-6=19
Current State: 31:[20, 31, 19], Operations: ['25-6=19']
Exploring Operation: 20-19=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 20-19=1
Current State: 31:[31, 1], Operations: ['25-6=19', '20-19=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
67,
38,
48,
8
] | 23 | [
"67-38=29",
"48/8=6",
"29-6=23"
] | Current State: 23:[67, 38, 48, 8], Operations: []
Exploring Operation: 67-38=29, Resulting Numbers: [48, 8, 29]
Generated Node #2: [48, 8, 29] from Operation: 67-38=29
Current State: 23:[48, 8, 29], Operations: ['67-38=29']
Exploring Operation: 48/8=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 48/8=6
Current State: 23:[29, 6], Operations: ['67-38=29', '48/8=6']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
5,
60,
63,
81
] | 66 | [
"63-60=3",
"5*3=15",
"81-15=66"
] | Current State: 66:[5, 60, 63, 81], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [5, 81, 3]
Generated Node #2: [5, 81, 3] from Operation: 63-60=3
Current State: 66:[5, 81, 3], Operations: ['63-60=3']
Exploring Operation: 5*3=15, Resulting Numbers: [81, 15]
Generated Node #3: [81, 15] from Operation: 5*3=15
Current State: 66:[81, 15], Operations: ['63-60=3', '5*3=15']
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
71,
87,
35,
82
] | 64 | [
"87-82=5",
"35/5=7",
"71-7=64"
] | Current State: 64:[71, 87, 35, 82], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [71, 35, 5]
Generated Node #2: [71, 35, 5] from Operation: 87-82=5
Current State: 64:[71, 35, 5], Operations: ['87-82=5']
Exploring Operation: 35/5=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 35/5=7
Current State: 64:[71, 7], Operations: ['87-82=5', '35/5=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
6,
14,
5,
46
] | 49 | [
"14-6=8",
"46-5=41",
"8+41=49"
] | Current State: 49:[6, 14, 5, 46], Operations: []
Exploring Operation: 14-6=8, Resulting Numbers: [5, 46, 8]
Generated Node #2: [5, 46, 8] from Operation: 14-6=8
Current State: 49:[5, 46, 8], Operations: ['14-6=8']
Exploring Operation: 46-5=41, Resulting Numbers: [8, 41]
Generated Node #3: [8, 41] from Operation: 46-5=41
Current State: 49:[8, 41], Operations: ['14-6=8', '46-5=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
41,
1,
30,
43
] | 59 | [
"43-41=2",
"30*2=60",
"60-1=59"
] | Current State: 59:[41, 1, 30, 43], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [1, 30, 2]
Generated Node #2: [1, 30, 2] from Operation: 43-41=2
Current State: 59:[1, 30, 2], Operations: ['43-41=2']
Exploring Operation: 30*2=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 30*2=60
Current State: 59:[1, 60], Operations: ['43-41=2', '30*2=60']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
43,
7,
53,
30
] | 40 | [
"53-43=10",
"7*10=70",
"70-30=40"
] | Current State: 40:[43, 7, 53, 30], Operations: []
Exploring Operation: 53-43=10, Resulting Numbers: [7, 30, 10]
Generated Node #2: [7, 30, 10] from Operation: 53-43=10
Current State: 40:[7, 30, 10], Operations: ['53-43=10']
Exploring Operation: 7*10=70, Resulting Numbers: [30, 70]
Generated Node #3: [30, 70] from Operation: 7*10=70
Current State: 40:[30, 70], Operations: ['53-43=10', '7*10=70']
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
57,
55,
10,
77
] | 43 | [
"10*77=770",
"770/55=14",
"57-14=43"
] | Current State: 43:[57, 55, 10, 77], Operations: []
Exploring Operation: 10*77=770, Resulting Numbers: [57, 55, 770]
Generated Node #2: [57, 55, 770] from Operation: 10*77=770
Current State: 43:[57, 55, 770], Operations: ['10*77=770']
Exploring Operation: 770/55=14, Resulting Numbers: [57, 14]
Generated Node #3: [57, 14] from Operation: 770/55=14
Current State: 43:[57, 14], Operations: ['10*77=770', '770/55=14']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
41,
93,
91,
96
] | 44 | [
"41+91=132",
"96-93=3",
"132/3=44"
] | Current State: 44:[41, 93, 91, 96], Operations: []
Exploring Operation: 41+91=132, Resulting Numbers: [93, 96, 132]
Generated Node #2: [93, 96, 132] from Operation: 41+91=132
Current State: 44:[93, 96, 132], Operations: ['41+91=132']
Exploring Operation: 96-93=3, Resulting Numbers: [132, 3]
Generated Node #3: [132, 3] from Operation: 96-93=3
Current State: 44:[132, 3], Operations: ['41+91=132', '96-93=3']
Exploring Operation: 132/3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
56,
28,
41,
69
] | 13 | [
"56/28=2",
"41*2=82",
"82-69=13"
] | Current State: 13:[56, 28, 41, 69], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [41, 69, 2]
Generated Node #2: [41, 69, 2] from Operation: 56/28=2
Current State: 13:[41, 69, 2], Operations: ['56/28=2']
Exploring Operation: 41*2=82, Resulting Numbers: [69, 82]
Generated Node #3: [69, 82] from Operation: 41*2=82
Current State: 13:[69, 82], Operations: ['56/28=2', '41*2=82']
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
38,
67,
54,
58
] | 56 | [
"67-38=29",
"58/29=2",
"54+2=56"
] | Current State: 56:[38, 67, 54, 58], Operations: []
Exploring Operation: 67-38=29, Resulting Numbers: [54, 58, 29]
Generated Node #2: [54, 58, 29] from Operation: 67-38=29
Current State: 56:[54, 58, 29], Operations: ['67-38=29']
Exploring Operation: 58/29=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 58/29=2
Current State: 56:[54, 2], Operations: ['67-38=29', '58/29=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
8,
15,
12,
4
] | 43 | [
"15*12=180",
"180-8=172",
"172/4=43"
] | Current State: 43:[8, 15, 12, 4], Operations: []
Exploring Operation: 15*12=180, Resulting Numbers: [8, 4, 180]
Generated Node #2: [8, 4, 180] from Operation: 15*12=180
Current State: 43:[8, 4, 180], Operations: ['15*12=180']
Exploring Operation: 180-8=172, Resulting Numbers: [4, 172]
Generated Node #3: [4, 172] from Operation: 180-8=172
Current State: 43:[4, 172], Operations: ['15*12=180', '180-8=172']
Exploring Operation: 172/4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
63,
11,
12,
67
] | 88 | [
"63+12=75",
"75-67=8",
"11*8=88"
] | Current State: 88:[63, 11, 12, 67], Operations: []
Exploring Operation: 63+12=75, Resulting Numbers: [11, 67, 75]
Generated Node #2: [11, 67, 75] from Operation: 63+12=75
Current State: 88:[11, 67, 75], Operations: ['63+12=75']
Exploring Operation: 75-67=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 75-67=8
Current State: 88:[11, 8], Operations: ['63+12=75', '75-67=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
18,
65,
78,
30
] | 45 | [
"18*65=1170",
"1170/78=15",
"30+15=45"
] | Current State: 45:[18, 65, 78, 30], Operations: []
Exploring Operation: 18*65=1170, Resulting Numbers: [78, 30, 1170]
Generated Node #2: [78, 30, 1170] from Operation: 18*65=1170
Current State: 45:[78, 30, 1170], Operations: ['18*65=1170']
Exploring Operation: 1170/78=15, Resulting Numbers: [30, 15]
Generated Node #3: [30, 15] from Operation: 1170/78=15
Current State: 45:[30, 15], Operations: ['18*65=1170', '1170/78=15']
Exploring Operation: 30+15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
6,
16,
96,
50
] | 24 | [
"6+16=22",
"96-50=46",
"46-22=24"
] | Current State: 24:[6, 16, 96, 50], Operations: []
Exploring Operation: 6+16=22, Resulting Numbers: [96, 50, 22]
Generated Node #2: [96, 50, 22] from Operation: 6+16=22
Current State: 24:[96, 50, 22], Operations: ['6+16=22']
Exploring Operation: 96-50=46, Resulting Numbers: [22, 46]
Generated Node #3: [22, 46] from Operation: 96-50=46
Current State: 24:[22, 46], Operations: ['6+16=22', '96-50=46']
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
99,
51,
10,
33
] | 71 | [
"99-51=48",
"33-10=23",
"48+23=71"
] | Current State: 71:[99, 51, 10, 33], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [10, 33, 48]
Generated Node #2: [10, 33, 48] from Operation: 99-51=48
Current State: 71:[10, 33, 48], Operations: ['99-51=48']
Exploring Operation: 33-10=23, Resulting Numbers: [48, 23]
Generated Node #3: [48, 23] from Operation: 33-10=23
Current State: 71:[48, 23], Operations: ['99-51=48', '33-10=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
27,
66,
2,
84
] | 14 | [
"66/2=33",
"33-27=6",
"84/6=14"
] | Current State: 14:[27, 66, 2, 84], Operations: []
Exploring Operation: 66/2=33, Resulting Numbers: [27, 84, 33]
Generated Node #2: [27, 84, 33] from Operation: 66/2=33
Current State: 14:[27, 84, 33], Operations: ['66/2=33']
Exploring Operation: 33-27=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 33-27=6
Current State: 14:[84, 6], Operations: ['66/2=33', '33-27=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
85,
89,
36,
29
] | 61 | [
"89-85=4",
"36+29=65",
"65-4=61"
] | Current State: 61:[85, 89, 36, 29], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [36, 29, 4]
Generated Node #2: [36, 29, 4] from Operation: 89-85=4
Current State: 61:[36, 29, 4], Operations: ['89-85=4']
Exploring Operation: 36+29=65, Resulting Numbers: [4, 65]
Generated Node #3: [4, 65] from Operation: 36+29=65
Current State: 61:[4, 65], Operations: ['89-85=4', '36+29=65']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
5,
94,
65,
15
] | 46 | [
"5*15=75",
"94-65=29",
"75-29=46"
] | Current State: 46:[5, 94, 65, 15], Operations: []
Exploring Operation: 5*15=75, Resulting Numbers: [94, 65, 75]
Generated Node #2: [94, 65, 75] from Operation: 5*15=75
Current State: 46:[94, 65, 75], Operations: ['5*15=75']
Exploring Operation: 94-65=29, Resulting Numbers: [75, 29]
Generated Node #3: [75, 29] from Operation: 94-65=29
Current State: 46:[75, 29], Operations: ['5*15=75', '94-65=29']
Exploring Operation: 75-29=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
4,
40,
81,
40
] | 39 | [
"4*40=160",
"81+40=121",
"160-121=39"
] | Current State: 39:[4, 40, 81, 40], Operations: []
Exploring Operation: 4*40=160, Resulting Numbers: [81, 160]
Generated Node #2: [81, 160] from Operation: 4*40=160
Current State: 39:[81, 160], Operations: ['4*40=160']
Exploring Operation: 81+40=121, Resulting Numbers: [160, 121]
Generated Node #3: [160, 121] from Operation: 81+40=121
Current State: 39:[160, 121], Operations: ['4*40=160', '81+40=121']
Exploring Operation: 160-121=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
71,
30,
7,
92
] | 67 | [
"30-7=23",
"92/23=4",
"71-4=67"
] | Current State: 67:[71, 30, 7, 92], Operations: []
Exploring Operation: 30-7=23, Resulting Numbers: [71, 92, 23]
Generated Node #2: [71, 92, 23] from Operation: 30-7=23
Current State: 67:[71, 92, 23], Operations: ['30-7=23']
Exploring Operation: 92/23=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 92/23=4
Current State: 67:[71, 4], Operations: ['30-7=23', '92/23=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
82,
46,
9,
88
] | 22 | [
"82-46=36",
"9*88=792",
"792/36=22"
] | Current State: 22:[82, 46, 9, 88], Operations: []
Exploring Operation: 82-46=36, Resulting Numbers: [9, 88, 36]
Generated Node #2: [9, 88, 36] from Operation: 82-46=36
Current State: 22:[9, 88, 36], Operations: ['82-46=36']
Exploring Operation: 9*88=792, Resulting Numbers: [36, 792]
Generated Node #3: [36, 792] from Operation: 9*88=792
Current State: 22:[36, 792], Operations: ['82-46=36', '9*88=792']
Exploring Operation: 792/36=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
56,
4,
70,
1
] | 60 | [
"70-56=14",
"1+14=15",
"4*15=60"
] | Current State: 60:[56, 4, 70, 1], Operations: []
Exploring Operation: 70-56=14, Resulting Numbers: [4, 1, 14]
Generated Node #2: [4, 1, 14] from Operation: 70-56=14
Current State: 60:[4, 1, 14], Operations: ['70-56=14']
Exploring Operation: 1+14=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 1+14=15
Current State: 60:[4, 15], Operations: ['70-56=14', '1+14=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
12,
7,
41,
28
] | 25 | [
"41-12=29",
"28/7=4",
"29-4=25"
] | Current State: 25:[12, 7, 41, 28], Operations: []
Exploring Operation: 41-12=29, Resulting Numbers: [7, 28, 29]
Generated Node #2: [7, 28, 29] from Operation: 41-12=29
Current State: 25:[7, 28, 29], Operations: ['41-12=29']
Exploring Operation: 28/7=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 28/7=4
Current State: 25:[29, 4], Operations: ['41-12=29', '28/7=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
12,
69,
78,
79
] | 65 | [
"79-69=10",
"78*10=780",
"780/12=65"
] | Current State: 65:[12, 69, 78, 79], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [12, 78, 10]
Generated Node #2: [12, 78, 10] from Operation: 79-69=10
Current State: 65:[12, 78, 10], Operations: ['79-69=10']
Exploring Operation: 78*10=780, Resulting Numbers: [12, 780]
Generated Node #3: [12, 780] from Operation: 78*10=780
Current State: 65:[12, 780], Operations: ['79-69=10', '78*10=780']
Exploring Operation: 780/12=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
98,
23,
45,
3
] | 90 | [
"98-23=75",
"45/3=15",
"75+15=90"
] | Current State: 90:[98, 23, 45, 3], Operations: []
Exploring Operation: 98-23=75, Resulting Numbers: [45, 3, 75]
Generated Node #2: [45, 3, 75] from Operation: 98-23=75
Current State: 90:[45, 3, 75], Operations: ['98-23=75']
Exploring Operation: 45/3=15, Resulting Numbers: [75, 15]
Generated Node #3: [75, 15] from Operation: 45/3=15
Current State: 90:[75, 15], Operations: ['98-23=75', '45/3=15']
Exploring Operation: 75+15=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
22,
19,
18,
4
] | 20 | [
"22-18=4",
"4/4=1",
"19+1=20"
] | Current State: 20:[22, 19, 18, 4], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [19, 4, 4]
Generated Node #2: [19, 4, 4] from Operation: 22-18=4
Current State: 20:[19, 4, 4], Operations: ['22-18=4']
Exploring Operation: 4/4=1, Resulting Numbers: [19, 1]
Generated Node #3: [19, 1] from Operation: 4/4=1
Current State: 20:[19, 1], Operations: ['22-18=4', '4/4=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
67,
1,
92,
99
] | 74 | [
"67*1=67",
"99-92=7",
"67+7=74"
] | Current State: 74:[67, 1, 92, 99], Operations: []
Exploring Operation: 67*1=67, Resulting Numbers: [92, 99, 67]
Generated Node #2: [92, 99, 67] from Operation: 67*1=67
Current State: 74:[92, 99, 67], Operations: ['67*1=67']
Exploring Operation: 99-92=7, Resulting Numbers: [67, 7]
Generated Node #3: [67, 7] from Operation: 99-92=7
Current State: 74:[67, 7], Operations: ['67*1=67', '99-92=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
96,
9,
24,
42
] | 98 | [
"42-24=18",
"18/9=2",
"96+2=98"
] | Current State: 98:[96, 9, 24, 42], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [96, 9, 18]
Generated Node #2: [96, 9, 18] from Operation: 42-24=18
Current State: 98:[96, 9, 18], Operations: ['42-24=18']
Exploring Operation: 18/9=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 18/9=2
Current State: 98:[96, 2], Operations: ['42-24=18', '18/9=2']
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
24,
53,
26,
13
] | 20 | [
"26-24=2",
"53-13=40",
"40/2=20"
] | Current State: 20:[24, 53, 26, 13], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [53, 13, 2]
Generated Node #2: [53, 13, 2] from Operation: 26-24=2
Current State: 20:[53, 13, 2], Operations: ['26-24=2']
Exploring Operation: 53-13=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 53-13=40
Current State: 20:[2, 40], Operations: ['26-24=2', '53-13=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
20,
18,
15,
25
] | 30 | [
"20*15=300",
"300/25=12",
"18+12=30"
] | Current State: 30:[20, 18, 15, 25], Operations: []
Exploring Operation: 20*15=300, Resulting Numbers: [18, 25, 300]
Generated Node #2: [18, 25, 300] from Operation: 20*15=300
Current State: 30:[18, 25, 300], Operations: ['20*15=300']
Exploring Operation: 300/25=12, Resulting Numbers: [18, 12]
Generated Node #3: [18, 12] from Operation: 300/25=12
Current State: 30:[18, 12], Operations: ['20*15=300', '300/25=12']
Exploring Operation: 18+12=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
3,
56,
63,
34
] | 17 | [
"3*34=102",
"56+63=119",
"119-102=17"
] | Current State: 17:[3, 56, 63, 34], Operations: []
Exploring Operation: 3*34=102, Resulting Numbers: [56, 63, 102]
Generated Node #2: [56, 63, 102] from Operation: 3*34=102
Current State: 17:[56, 63, 102], Operations: ['3*34=102']
Exploring Operation: 56+63=119, Resulting Numbers: [102, 119]
Generated Node #3: [102, 119] from Operation: 56+63=119
Current State: 17:[102, 119], Operations: ['3*34=102', '56+63=119']
Exploring Operation: 119-102=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
99,
14,
33,
10
] | 74 | [
"99-33=66",
"14*10=140",
"140-66=74"
] | Current State: 74:[99, 14, 33, 10], Operations: []
Exploring Operation: 99-33=66, Resulting Numbers: [14, 10, 66]
Generated Node #2: [14, 10, 66] from Operation: 99-33=66
Current State: 74:[14, 10, 66], Operations: ['99-33=66']
Exploring Operation: 14*10=140, Resulting Numbers: [66, 140]
Generated Node #3: [66, 140] from Operation: 14*10=140
Current State: 74:[66, 140], Operations: ['99-33=66', '14*10=140']
Exploring Operation: 140-66=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
43,
62,
9,
23
] | 13 | [
"62-43=19",
"9+23=32",
"32-19=13"
] | Current State: 13:[43, 62, 9, 23], Operations: []
Exploring Operation: 62-43=19, Resulting Numbers: [9, 23, 19]
Generated Node #2: [9, 23, 19] from Operation: 62-43=19
Current State: 13:[9, 23, 19], Operations: ['62-43=19']
Exploring Operation: 9+23=32, Resulting Numbers: [19, 32]
Generated Node #3: [19, 32] from Operation: 9+23=32
Current State: 13:[19, 32], Operations: ['62-43=19', '9+23=32']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
94,
62,
83,
72
] | 43 | [
"94-62=32",
"83-72=11",
"32+11=43"
] | Current State: 43:[94, 62, 83, 72], Operations: []
Exploring Operation: 94-62=32, Resulting Numbers: [83, 72, 32]
Generated Node #2: [83, 72, 32] from Operation: 94-62=32
Current State: 43:[83, 72, 32], Operations: ['94-62=32']
Exploring Operation: 83-72=11, Resulting Numbers: [32, 11]
Generated Node #3: [32, 11] from Operation: 83-72=11
Current State: 43:[32, 11], Operations: ['94-62=32', '83-72=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
28,
56,
44,
68
] | 48 | [
"56/28=2",
"68-44=24",
"2*24=48"
] | Current State: 48:[28, 56, 44, 68], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [44, 68, 2]
Generated Node #2: [44, 68, 2] from Operation: 56/28=2
Current State: 48:[44, 68, 2], Operations: ['56/28=2']
Exploring Operation: 68-44=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 68-44=24
Current State: 48:[2, 24], Operations: ['56/28=2', '68-44=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
76,
87,
97,
84
] | 83 | [
"97-76=21",
"84/21=4",
"87-4=83"
] | Current State: 83:[76, 87, 97, 84], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [87, 84, 21]
Generated Node #2: [87, 84, 21] from Operation: 97-76=21
Current State: 83:[87, 84, 21], Operations: ['97-76=21']
Exploring Operation: 84/21=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 84/21=4
Current State: 83:[87, 4], Operations: ['97-76=21', '84/21=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
76,
91,
14,
53
] | 100 | [
"76+91=167",
"14+53=67",
"167-67=100"
] | Current State: 100:[76, 91, 14, 53], Operations: []
Exploring Operation: 76+91=167, Resulting Numbers: [14, 53, 167]
Generated Node #2: [14, 53, 167] from Operation: 76+91=167
Current State: 100:[14, 53, 167], Operations: ['76+91=167']
Exploring Operation: 14+53=67, Resulting Numbers: [167, 67]
Generated Node #3: [167, 67] from Operation: 14+53=67
Current State: 100:[167, 67], Operations: ['76+91=167', '14+53=67']
Exploring Operation: 167-67=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
4,
24,
14,
54
] | 60 | [
"24-4=20",
"54-14=40",
"20+40=60"
] | Current State: 60:[4, 24, 14, 54], Operations: []
Exploring Operation: 24-4=20, Resulting Numbers: [14, 54, 20]
Generated Node #2: [14, 54, 20] from Operation: 24-4=20
Current State: 60:[14, 54, 20], Operations: ['24-4=20']
Exploring Operation: 54-14=40, Resulting Numbers: [20, 40]
Generated Node #3: [20, 40] from Operation: 54-14=40
Current State: 60:[20, 40], Operations: ['24-4=20', '54-14=40']
Exploring Operation: 20+40=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
10,
24,
10,
50
] | 30 | [
"10+50=60",
"60/10=6",
"24+6=30"
] | Current State: 30:[10, 24, 10, 50], Operations: []
Exploring Operation: 10+50=60, Resulting Numbers: [24, 60]
Generated Node #2: [24, 60] from Operation: 10+50=60
Current State: 30:[24, 60], Operations: ['10+50=60']
Exploring Operation: 60/10=6, Resulting Numbers: [24, 6]
Generated Node #3: [24, 6] from Operation: 60/10=6
Current State: 30:[24, 6], Operations: ['10+50=60', '60/10=6']
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
32,
20,
85,
33
] | 40 | [
"32-20=12",
"85-33=52",
"52-12=40"
] | Current State: 40:[32, 20, 85, 33], Operations: []
Exploring Operation: 32-20=12, Resulting Numbers: [85, 33, 12]
Generated Node #2: [85, 33, 12] from Operation: 32-20=12
Current State: 40:[85, 33, 12], Operations: ['32-20=12']
Exploring Operation: 85-33=52, Resulting Numbers: [12, 52]
Generated Node #3: [12, 52] from Operation: 85-33=52
Current State: 40:[12, 52], Operations: ['32-20=12', '85-33=52']
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
79,
37,
63,
47
] | 35 | [
"79+47=126",
"126/63=2",
"37-2=35"
] | Current State: 35:[79, 37, 63, 47], Operations: []
Exploring Operation: 79+47=126, Resulting Numbers: [37, 63, 126]
Generated Node #2: [37, 63, 126] from Operation: 79+47=126
Current State: 35:[37, 63, 126], Operations: ['79+47=126']
Exploring Operation: 126/63=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 126/63=2
Current State: 35:[37, 2], Operations: ['79+47=126', '126/63=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
89,
13,
4,
12
] | 34 | [
"89+13=102",
"12/4=3",
"102/3=34"
] | Current State: 34:[89, 13, 4, 12], Operations: []
Exploring Operation: 89+13=102, Resulting Numbers: [4, 12, 102]
Generated Node #2: [4, 12, 102] from Operation: 89+13=102
Current State: 34:[4, 12, 102], Operations: ['89+13=102']
Exploring Operation: 12/4=3, Resulting Numbers: [102, 3]
Generated Node #3: [102, 3] from Operation: 12/4=3
Current State: 34:[102, 3], Operations: ['89+13=102', '12/4=3']
Exploring Operation: 102/3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
37,
52,
27,
74
] | 42 | [
"37+52=89",
"74-27=47",
"89-47=42"
] | Current State: 42:[37, 52, 27, 74], Operations: []
Exploring Operation: 37+52=89, Resulting Numbers: [27, 74, 89]
Generated Node #2: [27, 74, 89] from Operation: 37+52=89
Current State: 42:[27, 74, 89], Operations: ['37+52=89']
Exploring Operation: 74-27=47, Resulting Numbers: [89, 47]
Generated Node #3: [89, 47] from Operation: 74-27=47
Current State: 42:[89, 47], Operations: ['37+52=89', '74-27=47']
Exploring Operation: 89-47=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
33,
33,
97,
64
] | 33 | [
"33+33=66",
"97-64=33",
"66-33=33"
] | Current State: 33:[33, 33, 97, 64], Operations: []
Exploring Operation: 33+33=66, Resulting Numbers: [97, 64, 66]
Generated Node #2: [97, 64, 66] from Operation: 33+33=66
Current State: 33:[97, 64, 66], Operations: ['33+33=66']
Exploring Operation: 97-64=33, Resulting Numbers: [66, 33]
Generated Node #3: [66, 33] from Operation: 97-64=33
Current State: 33:[66, 33], Operations: ['33+33=66', '97-64=33']
Exploring Operation: 66-33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
33,
10,
47,
17
] | 90 | [
"33+47=80",
"10*17=170",
"170-80=90"
] | Current State: 90:[33, 10, 47, 17], Operations: []
Exploring Operation: 33+47=80, Resulting Numbers: [10, 17, 80]
Generated Node #2: [10, 17, 80] from Operation: 33+47=80
Current State: 90:[10, 17, 80], Operations: ['33+47=80']
Exploring Operation: 10*17=170, Resulting Numbers: [80, 170]
Generated Node #3: [80, 170] from Operation: 10*17=170
Current State: 90:[80, 170], Operations: ['33+47=80', '10*17=170']
Exploring Operation: 170-80=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
71,
20,
53,
10
] | 28 | [
"71+20=91",
"53+10=63",
"91-63=28"
] | Current State: 28:[71, 20, 53, 10], Operations: []
Exploring Operation: 71+20=91, Resulting Numbers: [53, 10, 91]
Generated Node #2: [53, 10, 91] from Operation: 71+20=91
Current State: 28:[53, 10, 91], Operations: ['71+20=91']
Exploring Operation: 53+10=63, Resulting Numbers: [91, 63]
Generated Node #3: [91, 63] from Operation: 53+10=63
Current State: 28:[91, 63], Operations: ['71+20=91', '53+10=63']
Exploring Operation: 91-63=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
47,
25,
72,
28
] | 23 | [
"28-25=3",
"72/3=24",
"47-24=23"
] | Current State: 23:[47, 25, 72, 28], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [47, 72, 3]
Generated Node #2: [47, 72, 3] from Operation: 28-25=3
Current State: 23:[47, 72, 3], Operations: ['28-25=3']
Exploring Operation: 72/3=24, Resulting Numbers: [47, 24]
Generated Node #3: [47, 24] from Operation: 72/3=24
Current State: 23:[47, 24], Operations: ['28-25=3', '72/3=24']
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
4,
9,
1,
4
] | 12 | [
"4*9=36",
"4-1=3",
"36/3=12"
] | Current State: 12:[4, 9, 1, 4], Operations: []
Exploring Operation: 4*9=36, Resulting Numbers: [1, 36]
Generated Node #2: [1, 36] from Operation: 4*9=36
Current State: 12:[1, 36], Operations: ['4*9=36']
Exploring Operation: 4-1=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 4-1=3
Current State: 12:[36, 3], Operations: ['4*9=36', '4-1=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
75,
51,
64,
46
] | 86 | [
"75-51=24",
"64+46=110",
"110-24=86"
] | Current State: 86:[75, 51, 64, 46], Operations: []
Exploring Operation: 75-51=24, Resulting Numbers: [64, 46, 24]
Generated Node #2: [64, 46, 24] from Operation: 75-51=24
Current State: 86:[64, 46, 24], Operations: ['75-51=24']
Exploring Operation: 64+46=110, Resulting Numbers: [24, 110]
Generated Node #3: [24, 110] from Operation: 64+46=110
Current State: 86:[24, 110], Operations: ['75-51=24', '64+46=110']
Exploring Operation: 110-24=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
52,
65,
89,
59
] | 87 | [
"52+65=117",
"89-59=30",
"117-30=87"
] | Current State: 87:[52, 65, 89, 59], Operations: []
Exploring Operation: 52+65=117, Resulting Numbers: [89, 59, 117]
Generated Node #2: [89, 59, 117] from Operation: 52+65=117
Current State: 87:[89, 59, 117], Operations: ['52+65=117']
Exploring Operation: 89-59=30, Resulting Numbers: [117, 30]
Generated Node #3: [117, 30] from Operation: 89-59=30
Current State: 87:[117, 30], Operations: ['52+65=117', '89-59=30']
Exploring Operation: 117-30=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
95,
3,
21,
95
] | 60 | [
"95/95=1",
"21-1=20",
"3*20=60"
] | Current State: 60:[95, 3, 21, 95], Operations: []
Exploring Operation: 95/95=1, Resulting Numbers: [3, 21, 1]
Generated Node #2: [3, 21, 1] from Operation: 95/95=1
Current State: 60:[3, 21, 1], Operations: ['95/95=1']
Exploring Operation: 21-1=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 21-1=20
Current State: 60:[3, 20], Operations: ['95/95=1', '21-1=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
57,
59,
47,
36
] | 19 | [
"59-47=12",
"57*12=684",
"684/36=19"
] | Current State: 19:[57, 59, 47, 36], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [57, 36, 12]
Generated Node #2: [57, 36, 12] from Operation: 59-47=12
Current State: 19:[57, 36, 12], Operations: ['59-47=12']
Exploring Operation: 57*12=684, Resulting Numbers: [36, 684]
Generated Node #3: [36, 684] from Operation: 57*12=684
Current State: 19:[36, 684], Operations: ['59-47=12', '57*12=684']
Exploring Operation: 684/36=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
25,
18,
85,
17
] | 13 | [
"25*17=425",
"425/85=5",
"18-5=13"
] | Current State: 13:[25, 18, 85, 17], Operations: []
Exploring Operation: 25*17=425, Resulting Numbers: [18, 85, 425]
Generated Node #2: [18, 85, 425] from Operation: 25*17=425
Current State: 13:[18, 85, 425], Operations: ['25*17=425']
Exploring Operation: 425/85=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 425/85=5
Current State: 13:[18, 5], Operations: ['25*17=425', '425/85=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
55,
56,
51,
30
] | 22 | [
"56-55=1",
"51-30=21",
"1+21=22"
] | Current State: 22:[55, 56, 51, 30], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [51, 30, 1]
Generated Node #2: [51, 30, 1] from Operation: 56-55=1
Current State: 22:[51, 30, 1], Operations: ['56-55=1']
Exploring Operation: 51-30=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 51-30=21
Current State: 22:[1, 21], Operations: ['56-55=1', '51-30=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
55,
43,
37,
43
] | 18 | [
"55+43=98",
"37+43=80",
"98-80=18"
] | Current State: 18:[55, 43, 37, 43], Operations: []
Exploring Operation: 55+43=98, Resulting Numbers: [37, 98]
Generated Node #2: [37, 98] from Operation: 55+43=98
Current State: 18:[37, 98], Operations: ['55+43=98']
Exploring Operation: 37+43=80, Resulting Numbers: [98, 80]
Generated Node #3: [98, 80] from Operation: 37+43=80
Current State: 18:[98, 80], Operations: ['55+43=98', '37+43=80']
Exploring Operation: 98-80=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
10,
5,
70,
41
] | 68 | [
"10*41=410",
"410-70=340",
"340/5=68"
] | Current State: 68:[10, 5, 70, 41], Operations: []
Exploring Operation: 10*41=410, Resulting Numbers: [5, 70, 410]
Generated Node #2: [5, 70, 410] from Operation: 10*41=410
Current State: 68:[5, 70, 410], Operations: ['10*41=410']
Exploring Operation: 410-70=340, Resulting Numbers: [5, 340]
Generated Node #3: [5, 340] from Operation: 410-70=340
Current State: 68:[5, 340], Operations: ['10*41=410', '410-70=340']
Exploring Operation: 340/5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
41,
13,
67,
97
] | 24 | [
"41+13=54",
"97-67=30",
"54-30=24"
] | Current State: 24:[41, 13, 67, 97], Operations: []
Exploring Operation: 41+13=54, Resulting Numbers: [67, 97, 54]
Generated Node #2: [67, 97, 54] from Operation: 41+13=54
Current State: 24:[67, 97, 54], Operations: ['41+13=54']
Exploring Operation: 97-67=30, Resulting Numbers: [54, 30]
Generated Node #3: [54, 30] from Operation: 97-67=30
Current State: 24:[54, 30], Operations: ['41+13=54', '97-67=30']
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
7,
57,
11,
19
] | 80 | [
"57-7=50",
"11+19=30",
"50+30=80"
] | Current State: 80:[7, 57, 11, 19], Operations: []
Exploring Operation: 57-7=50, Resulting Numbers: [11, 19, 50]
Generated Node #2: [11, 19, 50] from Operation: 57-7=50
Current State: 80:[11, 19, 50], Operations: ['57-7=50']
Exploring Operation: 11+19=30, Resulting Numbers: [50, 30]
Generated Node #3: [50, 30] from Operation: 11+19=30
Current State: 80:[50, 30], Operations: ['57-7=50', '11+19=30']
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
82,
41,
78,
93
] | 71 | [
"82-78=4",
"41*4=164",
"164-93=71"
] | Current State: 71:[82, 41, 78, 93], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [41, 93, 4]
Generated Node #2: [41, 93, 4] from Operation: 82-78=4
Current State: 71:[41, 93, 4], Operations: ['82-78=4']
Exploring Operation: 41*4=164, Resulting Numbers: [93, 164]
Generated Node #3: [93, 164] from Operation: 41*4=164
Current State: 71:[93, 164], Operations: ['82-78=4', '41*4=164']
Exploring Operation: 164-93=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
49,
63,
30,
17
] | 33 | [
"63-49=14",
"30+17=47",
"47-14=33"
] | Current State: 33:[49, 63, 30, 17], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [30, 17, 14]
Generated Node #2: [30, 17, 14] from Operation: 63-49=14
Current State: 33:[30, 17, 14], Operations: ['63-49=14']
Exploring Operation: 30+17=47, Resulting Numbers: [14, 47]
Generated Node #3: [14, 47] from Operation: 30+17=47
Current State: 33:[14, 47], Operations: ['63-49=14', '30+17=47']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
79,
7,
77,
14
] | 21 | [
"79-77=2",
"14*2=28",
"28-7=21"
] | Current State: 21:[79, 7, 77, 14], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [7, 14, 2]
Generated Node #2: [7, 14, 2] from Operation: 79-77=2
Current State: 21:[7, 14, 2], Operations: ['79-77=2']
Exploring Operation: 14*2=28, Resulting Numbers: [7, 28]
Generated Node #3: [7, 28] from Operation: 14*2=28
Current State: 21:[7, 28], Operations: ['79-77=2', '14*2=28']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
82,
81,
3,
93
] | 72 | [
"82*3=246",
"81+93=174",
"246-174=72"
] | Current State: 72:[82, 81, 3, 93], Operations: []
Exploring Operation: 82*3=246, Resulting Numbers: [81, 93, 246]
Generated Node #2: [81, 93, 246] from Operation: 82*3=246
Current State: 72:[81, 93, 246], Operations: ['82*3=246']
Exploring Operation: 81+93=174, Resulting Numbers: [246, 174]
Generated Node #3: [246, 174] from Operation: 81+93=174
Current State: 72:[246, 174], Operations: ['82*3=246', '81+93=174']
Exploring Operation: 246-174=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
36,
52,
4,
39
] | 82 | [
"36/4=9",
"52+39=91",
"91-9=82"
] | Current State: 82:[36, 52, 4, 39], Operations: []
Exploring Operation: 36/4=9, Resulting Numbers: [52, 39, 9]
Generated Node #2: [52, 39, 9] from Operation: 36/4=9
Current State: 82:[52, 39, 9], Operations: ['36/4=9']
Exploring Operation: 52+39=91, Resulting Numbers: [9, 91]
Generated Node #3: [9, 91] from Operation: 52+39=91
Current State: 82:[9, 91], Operations: ['36/4=9', '52+39=91']
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
82,
77,
79,
28
] | 69 | [
"79-77=2",
"82/2=41",
"28+41=69"
] | Current State: 69:[82, 77, 79, 28], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [82, 28, 2]
Generated Node #2: [82, 28, 2] from Operation: 79-77=2
Current State: 69:[82, 28, 2], Operations: ['79-77=2']
Exploring Operation: 82/2=41, Resulting Numbers: [28, 41]
Generated Node #3: [28, 41] from Operation: 82/2=41
Current State: 69:[28, 41], Operations: ['79-77=2', '82/2=41']
Exploring Operation: 28+41=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
96,
5,
61
] | 32 | [
"2+96=98",
"5+61=66",
"98-66=32"
] | Current State: 32:[2, 96, 5, 61], Operations: []
Exploring Operation: 2+96=98, Resulting Numbers: [5, 61, 98]
Generated Node #2: [5, 61, 98] from Operation: 2+96=98
Current State: 32:[5, 61, 98], Operations: ['2+96=98']
Exploring Operation: 5+61=66, Resulting Numbers: [98, 66]
Generated Node #3: [98, 66] from Operation: 5+61=66
Current State: 32:[98, 66], Operations: ['2+96=98', '5+61=66']
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
71,
32,
75,
28
] | 25 | [
"75-71=4",
"28/4=7",
"32-7=25"
] | Current State: 25:[71, 32, 75, 28], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [32, 28, 4]
Generated Node #2: [32, 28, 4] from Operation: 75-71=4
Current State: 25:[32, 28, 4], Operations: ['75-71=4']
Exploring Operation: 28/4=7, Resulting Numbers: [32, 7]
Generated Node #3: [32, 7] from Operation: 28/4=7
Current State: 25:[32, 7], Operations: ['75-71=4', '28/4=7']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
43,
33,
13,
66
] | 60 | [
"43-13=30",
"66/33=2",
"30*2=60"
] | Current State: 60:[43, 33, 13, 66], Operations: []
Exploring Operation: 43-13=30, Resulting Numbers: [33, 66, 30]
Generated Node #2: [33, 66, 30] from Operation: 43-13=30
Current State: 60:[33, 66, 30], Operations: ['43-13=30']
Exploring Operation: 66/33=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 66/33=2
Current State: 60:[30, 2], Operations: ['43-13=30', '66/33=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
19,
26,
66,
55
] | 56 | [
"19+26=45",
"66-55=11",
"45+11=56"
] | Current State: 56:[19, 26, 66, 55], Operations: []
Exploring Operation: 19+26=45, Resulting Numbers: [66, 55, 45]
Generated Node #2: [66, 55, 45] from Operation: 19+26=45
Current State: 56:[66, 55, 45], Operations: ['19+26=45']
Exploring Operation: 66-55=11, Resulting Numbers: [45, 11]
Generated Node #3: [45, 11] from Operation: 66-55=11
Current State: 56:[45, 11], Operations: ['19+26=45', '66-55=11']
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
18,
96,
74,
70
] | 66 | [
"96-18=78",
"74+70=144",
"144-78=66"
] | Current State: 66:[18, 96, 74, 70], Operations: []
Exploring Operation: 96-18=78, Resulting Numbers: [74, 70, 78]
Generated Node #2: [74, 70, 78] from Operation: 96-18=78
Current State: 66:[74, 70, 78], Operations: ['96-18=78']
Exploring Operation: 74+70=144, Resulting Numbers: [78, 144]
Generated Node #3: [78, 144] from Operation: 74+70=144
Current State: 66:[78, 144], Operations: ['96-18=78', '74+70=144']
Exploring Operation: 144-78=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
29,
50,
82,
87
] | 29 | [
"29+50=79",
"82-79=3",
"87/3=29"
] | Current State: 29:[29, 50, 82, 87], Operations: []
Exploring Operation: 29+50=79, Resulting Numbers: [82, 87, 79]
Generated Node #2: [82, 87, 79] from Operation: 29+50=79
Current State: 29:[82, 87, 79], Operations: ['29+50=79']
Exploring Operation: 82-79=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 82-79=3
Current State: 29:[87, 3], Operations: ['29+50=79', '82-79=3']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
5,
69,
78,
78
] | 92 | [
"69-5=64",
"78+78=156",
"156-64=92"
] | Current State: 92:[5, 69, 78, 78], Operations: []
Exploring Operation: 69-5=64, Resulting Numbers: [78, 78, 64]
Generated Node #2: [78, 78, 64] from Operation: 69-5=64
Current State: 92:[78, 78, 64], Operations: ['69-5=64']
Exploring Operation: 78+78=156, Resulting Numbers: [64, 156]
Generated Node #3: [64, 156] from Operation: 78+78=156
Current State: 92:[64, 156], Operations: ['69-5=64', '78+78=156']
Exploring Operation: 156-64=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
26,
17,
81,
46
] | 78 | [
"26+17=43",
"81-46=35",
"43+35=78"
] | Current State: 78:[26, 17, 81, 46], Operations: []
Exploring Operation: 26+17=43, Resulting Numbers: [81, 46, 43]
Generated Node #2: [81, 46, 43] from Operation: 26+17=43
Current State: 78:[81, 46, 43], Operations: ['26+17=43']
Exploring Operation: 81-46=35, Resulting Numbers: [43, 35]
Generated Node #3: [43, 35] from Operation: 81-46=35
Current State: 78:[43, 35], Operations: ['26+17=43', '81-46=35']
Exploring Operation: 43+35=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
12,
21,
90,
65
] | 48 | [
"90-21=69",
"69-65=4",
"12*4=48"
] | Current State: 48:[12, 21, 90, 65], Operations: []
Exploring Operation: 90-21=69, Resulting Numbers: [12, 65, 69]
Generated Node #2: [12, 65, 69] from Operation: 90-21=69
Current State: 48:[12, 65, 69], Operations: ['90-21=69']
Exploring Operation: 69-65=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 69-65=4
Current State: 48:[12, 4], Operations: ['90-21=69', '69-65=4']
Exploring Operation: 12*4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
1,
2,
21,
38
] | 49 | [
"1+21=22",
"22/2=11",
"38+11=49"
] | Current State: 49:[1, 2, 21, 38], Operations: []
Exploring Operation: 1+21=22, Resulting Numbers: [2, 38, 22]
Generated Node #2: [2, 38, 22] from Operation: 1+21=22
Current State: 49:[2, 38, 22], Operations: ['1+21=22']
Exploring Operation: 22/2=11, Resulting Numbers: [38, 11]
Generated Node #3: [38, 11] from Operation: 22/2=11
Current State: 49:[38, 11], Operations: ['1+21=22', '22/2=11']
Exploring Operation: 38+11=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
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