nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
25,
20,
65,
18
] | 20 | [
"65-25=40",
"20-18=2",
"40/2=20"
] | Current State: 20:[25, 20, 65, 18], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [20, 18, 40]
Generated Node #2: [20, 18, 40] from Operation: 65-25=40
Current State: 20:[20, 18, 40], Operations: ['65-25=40']
Exploring Operation: 20-18=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 20-18=2
Current State: 20:[40, 2], Operations: ['65-25=40', '20-18=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
74,
92,
15,
21
] | 12 | [
"92-74=18",
"21-15=6",
"18-6=12"
] | Current State: 12:[74, 92, 15, 21], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [15, 21, 18]
Generated Node #2: [15, 21, 18] from Operation: 92-74=18
Current State: 12:[15, 21, 18], Operations: ['92-74=18']
Exploring Operation: 21-15=6, Resulting Numbers: [18, 6]
Generated Node #3: [18, 6] from Operation: 21-15=6
Current State: 12:[18, 6], Operations: ['92-74=18', '21-15=6']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
30,
56,
11,
5
] | 83 | [
"30*5=150",
"56+11=67",
"150-67=83"
] | Current State: 83:[30, 56, 11, 5], Operations: []
Exploring Operation: 30*5=150, Resulting Numbers: [56, 11, 150]
Generated Node #2: [56, 11, 150] from Operation: 30*5=150
Current State: 83:[56, 11, 150], Operations: ['30*5=150']
Exploring Operation: 56+11=67, Resulting Numbers: [150, 67]
Generated Node #3: [150, 67] from Operation: 56+11=67
Current State: 83:[150, 67], Operations: ['30*5=150', '56+11=67']
Exploring Operation: 150-67=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
4,
54,
1,
34
] | 15 | [
"54-4=50",
"1+34=35",
"50-35=15"
] | Current State: 15:[4, 54, 1, 34], Operations: []
Exploring Operation: 54-4=50, Resulting Numbers: [1, 34, 50]
Generated Node #2: [1, 34, 50] from Operation: 54-4=50
Current State: 15:[1, 34, 50], Operations: ['54-4=50']
Exploring Operation: 1+34=35, Resulting Numbers: [50, 35]
Generated Node #3: [50, 35] from Operation: 1+34=35
Current State: 15:[50, 35], Operations: ['54-4=50', '1+34=35']
Exploring Operation: 50-35=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
2,
3,
41,
20
] | 14 | [
"41-20=21",
"2*21=42",
"42/3=14"
] | Current State: 14:[2, 3, 41, 20], Operations: []
Exploring Operation: 41-20=21, Resulting Numbers: [2, 3, 21]
Generated Node #2: [2, 3, 21] from Operation: 41-20=21
Current State: 14:[2, 3, 21], Operations: ['41-20=21']
Exploring Operation: 2*21=42, Resulting Numbers: [3, 42]
Generated Node #3: [3, 42] from Operation: 2*21=42
Current State: 14:[3, 42], Operations: ['41-20=21', '2*21=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
26,
45,
37,
2
] | 81 | [
"26+37=63",
"2*63=126",
"126-45=81"
] | Current State: 81:[26, 45, 37, 2], Operations: []
Exploring Operation: 26+37=63, Resulting Numbers: [45, 2, 63]
Generated Node #2: [45, 2, 63] from Operation: 26+37=63
Current State: 81:[45, 2, 63], Operations: ['26+37=63']
Exploring Operation: 2*63=126, Resulting Numbers: [45, 126]
Generated Node #3: [45, 126] from Operation: 2*63=126
Current State: 81:[45, 126], Operations: ['26+37=63', '2*63=126']
Exploring Operation: 126-45=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
96,
98,
94,
71
] | 54 | [
"96-94=2",
"98-71=27",
"2*27=54"
] | Current State: 54:[96, 98, 94, 71], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [98, 71, 2]
Generated Node #2: [98, 71, 2] from Operation: 96-94=2
Current State: 54:[98, 71, 2], Operations: ['96-94=2']
Exploring Operation: 98-71=27, Resulting Numbers: [2, 27]
Generated Node #3: [2, 27] from Operation: 98-71=27
Current State: 54:[2, 27], Operations: ['96-94=2', '98-71=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
14,
2,
35,
1
] | 100 | [
"14+35=49",
"1+49=50",
"2*50=100"
] | Current State: 100:[14, 2, 35, 1], Operations: []
Exploring Operation: 14+35=49, Resulting Numbers: [2, 1, 49]
Generated Node #2: [2, 1, 49] from Operation: 14+35=49
Current State: 100:[2, 1, 49], Operations: ['14+35=49']
Exploring Operation: 1+49=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 1+49=50
Current State: 100:[2, 50], Operations: ['14+35=49', '1+49=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
6,
46,
15,
41
] | 95 | [
"6*15=90",
"46-41=5",
"90+5=95"
] | Current State: 95:[6, 46, 15, 41], Operations: []
Exploring Operation: 6*15=90, Resulting Numbers: [46, 41, 90]
Generated Node #2: [46, 41, 90] from Operation: 6*15=90
Current State: 95:[46, 41, 90], Operations: ['6*15=90']
Exploring Operation: 46-41=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 46-41=5
Current State: 95:[90, 5], Operations: ['6*15=90', '46-41=5']
Exploring Operation: 90+5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
3,
81,
37,
22
] | 32 | [
"81/3=27",
"37+22=59",
"59-27=32"
] | Current State: 32:[3, 81, 37, 22], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [37, 22, 27]
Generated Node #2: [37, 22, 27] from Operation: 81/3=27
Current State: 32:[37, 22, 27], Operations: ['81/3=27']
Exploring Operation: 37+22=59, Resulting Numbers: [27, 59]
Generated Node #3: [27, 59] from Operation: 37+22=59
Current State: 32:[27, 59], Operations: ['81/3=27', '37+22=59']
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
44,
83,
97,
43
] | 13 | [
"44+83=127",
"97+43=140",
"140-127=13"
] | Current State: 13:[44, 83, 97, 43], Operations: []
Exploring Operation: 44+83=127, Resulting Numbers: [97, 43, 127]
Generated Node #2: [97, 43, 127] from Operation: 44+83=127
Current State: 13:[97, 43, 127], Operations: ['44+83=127']
Exploring Operation: 97+43=140, Resulting Numbers: [127, 140]
Generated Node #3: [127, 140] from Operation: 97+43=140
Current State: 13:[127, 140], Operations: ['44+83=127', '97+43=140']
Exploring Operation: 140-127=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
2,
33,
72,
82
] | 80 | [
"82/2=41",
"72-33=39",
"41+39=80"
] | Current State: 80:[2, 33, 72, 82], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [33, 72, 41]
Generated Node #2: [33, 72, 41] from Operation: 82/2=41
Current State: 80:[33, 72, 41], Operations: ['82/2=41']
Exploring Operation: 72-33=39, Resulting Numbers: [41, 39]
Generated Node #3: [41, 39] from Operation: 72-33=39
Current State: 80:[41, 39], Operations: ['82/2=41', '72-33=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
55,
71,
42,
94
] | 45 | [
"71+94=165",
"165/55=3",
"42+3=45"
] | Current State: 45:[55, 71, 42, 94], Operations: []
Exploring Operation: 71+94=165, Resulting Numbers: [55, 42, 165]
Generated Node #2: [55, 42, 165] from Operation: 71+94=165
Current State: 45:[55, 42, 165], Operations: ['71+94=165']
Exploring Operation: 165/55=3, Resulting Numbers: [42, 3]
Generated Node #3: [42, 3] from Operation: 165/55=3
Current State: 45:[42, 3], Operations: ['71+94=165', '165/55=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
1,
7,
21,
77
] | 77 | [
"1+21=22",
"7*22=154",
"154-77=77"
] | Current State: 77:[1, 7, 21, 77], Operations: []
Exploring Operation: 1+21=22, Resulting Numbers: [7, 77, 22]
Generated Node #2: [7, 77, 22] from Operation: 1+21=22
Current State: 77:[7, 77, 22], Operations: ['1+21=22']
Exploring Operation: 7*22=154, Resulting Numbers: [77, 154]
Generated Node #3: [77, 154] from Operation: 7*22=154
Current State: 77:[77, 154], Operations: ['1+21=22', '7*22=154']
Exploring Operation: 154-77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
18,
29,
80,
13
] | 40 | [
"29-18=11",
"13-11=2",
"80/2=40"
] | Current State: 40:[18, 29, 80, 13], Operations: []
Exploring Operation: 29-18=11, Resulting Numbers: [80, 13, 11]
Generated Node #2: [80, 13, 11] from Operation: 29-18=11
Current State: 40:[80, 13, 11], Operations: ['29-18=11']
Exploring Operation: 13-11=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 13-11=2
Current State: 40:[80, 2], Operations: ['29-18=11', '13-11=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
44,
48,
66,
41
] | 38 | [
"44-41=3",
"48+66=114",
"114/3=38"
] | Current State: 38:[44, 48, 66, 41], Operations: []
Exploring Operation: 44-41=3, Resulting Numbers: [48, 66, 3]
Generated Node #2: [48, 66, 3] from Operation: 44-41=3
Current State: 38:[48, 66, 3], Operations: ['44-41=3']
Exploring Operation: 48+66=114, Resulting Numbers: [3, 114]
Generated Node #3: [3, 114] from Operation: 48+66=114
Current State: 38:[3, 114], Operations: ['44-41=3', '48+66=114']
Exploring Operation: 114/3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
8,
56,
17,
72
] | 97 | [
"72/8=9",
"17*9=153",
"153-56=97"
] | Current State: 97:[8, 56, 17, 72], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [56, 17, 9]
Generated Node #2: [56, 17, 9] from Operation: 72/8=9
Current State: 97:[56, 17, 9], Operations: ['72/8=9']
Exploring Operation: 17*9=153, Resulting Numbers: [56, 153]
Generated Node #3: [56, 153] from Operation: 17*9=153
Current State: 97:[56, 153], Operations: ['72/8=9', '17*9=153']
Exploring Operation: 153-56=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
53,
4,
55,
6
] | 36 | [
"53-4=49",
"55-49=6",
"6*6=36"
] | Current State: 36:[53, 4, 55, 6], Operations: []
Exploring Operation: 53-4=49, Resulting Numbers: [55, 6, 49]
Generated Node #2: [55, 6, 49] from Operation: 53-4=49
Current State: 36:[55, 6, 49], Operations: ['53-4=49']
Exploring Operation: 55-49=6, Resulting Numbers: [6, 6]
Generated Node #3: [6, 6] from Operation: 55-49=6
Current State: 36:[6, 6], Operations: ['53-4=49', '55-49=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
44,
60,
39,
11
] | 44 | [
"60-44=16",
"39-11=28",
"16+28=44"
] | Current State: 44:[44, 60, 39, 11], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [39, 11, 16]
Generated Node #2: [39, 11, 16] from Operation: 60-44=16
Current State: 44:[39, 11, 16], Operations: ['60-44=16']
Exploring Operation: 39-11=28, Resulting Numbers: [16, 28]
Generated Node #3: [16, 28] from Operation: 39-11=28
Current State: 44:[16, 28], Operations: ['60-44=16', '39-11=28']
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
5,
57,
22,
96
] | 85 | [
"57+22=79",
"96-79=17",
"5*17=85"
] | Current State: 85:[5, 57, 22, 96], Operations: []
Exploring Operation: 57+22=79, Resulting Numbers: [5, 96, 79]
Generated Node #2: [5, 96, 79] from Operation: 57+22=79
Current State: 85:[5, 96, 79], Operations: ['57+22=79']
Exploring Operation: 96-79=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 96-79=17
Current State: 85:[5, 17], Operations: ['57+22=79', '96-79=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
69,
19,
19,
91
] | 16 | [
"69+19=88",
"91-19=72",
"88-72=16"
] | Current State: 16:[69, 19, 19, 91], Operations: []
Exploring Operation: 69+19=88, Resulting Numbers: [91, 88]
Generated Node #2: [91, 88] from Operation: 69+19=88
Current State: 16:[91, 88], Operations: ['69+19=88']
Exploring Operation: 91-19=72, Resulting Numbers: [88, 72]
Generated Node #3: [88, 72] from Operation: 91-19=72
Current State: 16:[88, 72], Operations: ['69+19=88', '91-19=72']
Exploring Operation: 88-72=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
15,
58,
32,
23
] | 54 | [
"23-15=8",
"32/8=4",
"58-4=54"
] | Current State: 54:[15, 58, 32, 23], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [58, 32, 8]
Generated Node #2: [58, 32, 8] from Operation: 23-15=8
Current State: 54:[58, 32, 8], Operations: ['23-15=8']
Exploring Operation: 32/8=4, Resulting Numbers: [58, 4]
Generated Node #3: [58, 4] from Operation: 32/8=4
Current State: 54:[58, 4], Operations: ['23-15=8', '32/8=4']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
61,
39,
52,
40
] | 31 | [
"39*40=1560",
"1560/52=30",
"61-30=31"
] | Current State: 31:[61, 39, 52, 40], Operations: []
Exploring Operation: 39*40=1560, Resulting Numbers: [61, 52, 1560]
Generated Node #2: [61, 52, 1560] from Operation: 39*40=1560
Current State: 31:[61, 52, 1560], Operations: ['39*40=1560']
Exploring Operation: 1560/52=30, Resulting Numbers: [61, 30]
Generated Node #3: [61, 30] from Operation: 1560/52=30
Current State: 31:[61, 30], Operations: ['39*40=1560', '1560/52=30']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
5,
77,
13,
86
] | 68 | [
"77+13=90",
"90/5=18",
"86-18=68"
] | Current State: 68:[5, 77, 13, 86], Operations: []
Exploring Operation: 77+13=90, Resulting Numbers: [5, 86, 90]
Generated Node #2: [5, 86, 90] from Operation: 77+13=90
Current State: 68:[5, 86, 90], Operations: ['77+13=90']
Exploring Operation: 90/5=18, Resulting Numbers: [86, 18]
Generated Node #3: [86, 18] from Operation: 90/5=18
Current State: 68:[86, 18], Operations: ['77+13=90', '90/5=18']
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
65,
4,
94,
56
] | 15 | [
"94-65=29",
"56/4=14",
"29-14=15"
] | Current State: 15:[65, 4, 94, 56], Operations: []
Exploring Operation: 94-65=29, Resulting Numbers: [4, 56, 29]
Generated Node #2: [4, 56, 29] from Operation: 94-65=29
Current State: 15:[4, 56, 29], Operations: ['94-65=29']
Exploring Operation: 56/4=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 56/4=14
Current State: 15:[29, 14], Operations: ['94-65=29', '56/4=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
74,
13,
2,
75
] | 16 | [
"74-13=61",
"2+75=77",
"77-61=16"
] | Current State: 16:[74, 13, 2, 75], Operations: []
Exploring Operation: 74-13=61, Resulting Numbers: [2, 75, 61]
Generated Node #2: [2, 75, 61] from Operation: 74-13=61
Current State: 16:[2, 75, 61], Operations: ['74-13=61']
Exploring Operation: 2+75=77, Resulting Numbers: [61, 77]
Generated Node #3: [61, 77] from Operation: 2+75=77
Current State: 16:[61, 77], Operations: ['74-13=61', '2+75=77']
Exploring Operation: 77-61=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
2,
57,
61,
69
] | 61 | [
"61-57=4",
"2*4=8",
"69-8=61"
] | Current State: 61:[2, 57, 61, 69], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [2, 69, 4]
Generated Node #2: [2, 69, 4] from Operation: 61-57=4
Current State: 61:[2, 69, 4], Operations: ['61-57=4']
Exploring Operation: 2*4=8, Resulting Numbers: [69, 8]
Generated Node #3: [69, 8] from Operation: 2*4=8
Current State: 61:[69, 8], Operations: ['61-57=4', '2*4=8']
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
85,
61,
6,
5
] | 90 | [
"85-61=24",
"24-6=18",
"5*18=90"
] | Current State: 90:[85, 61, 6, 5], Operations: []
Exploring Operation: 85-61=24, Resulting Numbers: [6, 5, 24]
Generated Node #2: [6, 5, 24] from Operation: 85-61=24
Current State: 90:[6, 5, 24], Operations: ['85-61=24']
Exploring Operation: 24-6=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 24-6=18
Current State: 90:[5, 18], Operations: ['85-61=24', '24-6=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
38,
18,
87,
80
] | 83 | [
"38-18=20",
"80/20=4",
"87-4=83"
] | Current State: 83:[38, 18, 87, 80], Operations: []
Exploring Operation: 38-18=20, Resulting Numbers: [87, 80, 20]
Generated Node #2: [87, 80, 20] from Operation: 38-18=20
Current State: 83:[87, 80, 20], Operations: ['38-18=20']
Exploring Operation: 80/20=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 80/20=4
Current State: 83:[87, 4], Operations: ['38-18=20', '80/20=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
77,
12,
37,
75
] | 61 | [
"77-75=2",
"12*2=24",
"37+24=61"
] | Current State: 61:[77, 12, 37, 75], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [12, 37, 2]
Generated Node #2: [12, 37, 2] from Operation: 77-75=2
Current State: 61:[12, 37, 2], Operations: ['77-75=2']
Exploring Operation: 12*2=24, Resulting Numbers: [37, 24]
Generated Node #3: [37, 24] from Operation: 12*2=24
Current State: 61:[37, 24], Operations: ['77-75=2', '12*2=24']
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
85,
15,
31,
25
] | 35 | [
"85+15=100",
"100/25=4",
"31+4=35"
] | Current State: 35:[85, 15, 31, 25], Operations: []
Exploring Operation: 85+15=100, Resulting Numbers: [31, 25, 100]
Generated Node #2: [31, 25, 100] from Operation: 85+15=100
Current State: 35:[31, 25, 100], Operations: ['85+15=100']
Exploring Operation: 100/25=4, Resulting Numbers: [31, 4]
Generated Node #3: [31, 4] from Operation: 100/25=4
Current State: 35:[31, 4], Operations: ['85+15=100', '100/25=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
66,
23,
7,
60
] | 36 | [
"66+23=89",
"60-7=53",
"89-53=36"
] | Current State: 36:[66, 23, 7, 60], Operations: []
Exploring Operation: 66+23=89, Resulting Numbers: [7, 60, 89]
Generated Node #2: [7, 60, 89] from Operation: 66+23=89
Current State: 36:[7, 60, 89], Operations: ['66+23=89']
Exploring Operation: 60-7=53, Resulting Numbers: [89, 53]
Generated Node #3: [89, 53] from Operation: 60-7=53
Current State: 36:[89, 53], Operations: ['66+23=89', '60-7=53']
Exploring Operation: 89-53=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
80,
23,
5,
32
] | 20 | [
"80-23=57",
"5+32=37",
"57-37=20"
] | Current State: 20:[80, 23, 5, 32], Operations: []
Exploring Operation: 80-23=57, Resulting Numbers: [5, 32, 57]
Generated Node #2: [5, 32, 57] from Operation: 80-23=57
Current State: 20:[5, 32, 57], Operations: ['80-23=57']
Exploring Operation: 5+32=37, Resulting Numbers: [57, 37]
Generated Node #3: [57, 37] from Operation: 5+32=37
Current State: 20:[57, 37], Operations: ['80-23=57', '5+32=37']
Exploring Operation: 57-37=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
82,
27,
51,
7
] | 46 | [
"82+51=133",
"133/7=19",
"27+19=46"
] | Current State: 46:[82, 27, 51, 7], Operations: []
Exploring Operation: 82+51=133, Resulting Numbers: [27, 7, 133]
Generated Node #2: [27, 7, 133] from Operation: 82+51=133
Current State: 46:[27, 7, 133], Operations: ['82+51=133']
Exploring Operation: 133/7=19, Resulting Numbers: [27, 19]
Generated Node #3: [27, 19] from Operation: 133/7=19
Current State: 46:[27, 19], Operations: ['82+51=133', '133/7=19']
Exploring Operation: 27+19=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
17,
22,
45,
59
] | 25 | [
"17+22=39",
"59-45=14",
"39-14=25"
] | Current State: 25:[17, 22, 45, 59], Operations: []
Exploring Operation: 17+22=39, Resulting Numbers: [45, 59, 39]
Generated Node #2: [45, 59, 39] from Operation: 17+22=39
Current State: 25:[45, 59, 39], Operations: ['17+22=39']
Exploring Operation: 59-45=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 59-45=14
Current State: 25:[39, 14], Operations: ['17+22=39', '59-45=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
86,
54,
95,
56
] | 62 | [
"95-86=9",
"54/9=6",
"56+6=62"
] | Current State: 62:[86, 54, 95, 56], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [54, 56, 9]
Generated Node #2: [54, 56, 9] from Operation: 95-86=9
Current State: 62:[54, 56, 9], Operations: ['95-86=9']
Exploring Operation: 54/9=6, Resulting Numbers: [56, 6]
Generated Node #3: [56, 6] from Operation: 54/9=6
Current State: 62:[56, 6], Operations: ['95-86=9', '54/9=6']
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
17,
35,
86,
73
] | 70 | [
"86-35=51",
"51/17=3",
"73-3=70"
] | Current State: 70:[17, 35, 86, 73], Operations: []
Exploring Operation: 86-35=51, Resulting Numbers: [17, 73, 51]
Generated Node #2: [17, 73, 51] from Operation: 86-35=51
Current State: 70:[17, 73, 51], Operations: ['86-35=51']
Exploring Operation: 51/17=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 51/17=3
Current State: 70:[73, 3], Operations: ['86-35=51', '51/17=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
83,
39,
98,
81
] | 61 | [
"83-39=44",
"98-81=17",
"44+17=61"
] | Current State: 61:[83, 39, 98, 81], Operations: []
Exploring Operation: 83-39=44, Resulting Numbers: [98, 81, 44]
Generated Node #2: [98, 81, 44] from Operation: 83-39=44
Current State: 61:[98, 81, 44], Operations: ['83-39=44']
Exploring Operation: 98-81=17, Resulting Numbers: [44, 17]
Generated Node #3: [44, 17] from Operation: 98-81=17
Current State: 61:[44, 17], Operations: ['83-39=44', '98-81=17']
Exploring Operation: 44+17=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
15,
54,
56,
13
] | 83 | [
"15-13=2",
"54/2=27",
"56+27=83"
] | Current State: 83:[15, 54, 56, 13], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [54, 56, 2]
Generated Node #2: [54, 56, 2] from Operation: 15-13=2
Current State: 83:[54, 56, 2], Operations: ['15-13=2']
Exploring Operation: 54/2=27, Resulting Numbers: [56, 27]
Generated Node #3: [56, 27] from Operation: 54/2=27
Current State: 83:[56, 27], Operations: ['15-13=2', '54/2=27']
Exploring Operation: 56+27=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
38,
57,
59,
79
] | 39 | [
"57-38=19",
"79-59=20",
"19+20=39"
] | Current State: 39:[38, 57, 59, 79], Operations: []
Exploring Operation: 57-38=19, Resulting Numbers: [59, 79, 19]
Generated Node #2: [59, 79, 19] from Operation: 57-38=19
Current State: 39:[59, 79, 19], Operations: ['57-38=19']
Exploring Operation: 79-59=20, Resulting Numbers: [19, 20]
Generated Node #3: [19, 20] from Operation: 79-59=20
Current State: 39:[19, 20], Operations: ['57-38=19', '79-59=20']
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
12,
90,
90,
76
] | 78 | [
"90-76=14",
"12*14=168",
"168-90=78"
] | Current State: 78:[12, 90, 90, 76], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [12, 14]
Generated Node #2: [12, 14] from Operation: 90-76=14
Current State: 78:[12, 14], Operations: ['90-76=14']
Exploring Operation: 12*14=168, Resulting Numbers: [168]
168,78 equal: Goal Reached
Exploring Operation: 168-90=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
10,
52,
23,
82
] | 13 | [
"10+82=92",
"52*23=1196",
"1196/92=13"
] | Current State: 13:[10, 52, 23, 82], Operations: []
Exploring Operation: 10+82=92, Resulting Numbers: [52, 23, 92]
Generated Node #2: [52, 23, 92] from Operation: 10+82=92
Current State: 13:[52, 23, 92], Operations: ['10+82=92']
Exploring Operation: 52*23=1196, Resulting Numbers: [92, 1196]
Generated Node #3: [92, 1196] from Operation: 52*23=1196
Current State: 13:[92, 1196], Operations: ['10+82=92', '52*23=1196']
Exploring Operation: 1196/92=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
18,
49,
10,
17
] | 40 | [
"18+49=67",
"10+17=27",
"67-27=40"
] | Current State: 40:[18, 49, 10, 17], Operations: []
Exploring Operation: 18+49=67, Resulting Numbers: [10, 17, 67]
Generated Node #2: [10, 17, 67] from Operation: 18+49=67
Current State: 40:[10, 17, 67], Operations: ['18+49=67']
Exploring Operation: 10+17=27, Resulting Numbers: [67, 27]
Generated Node #3: [67, 27] from Operation: 10+17=27
Current State: 40:[67, 27], Operations: ['18+49=67', '10+17=27']
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
25,
10,
99,
59
] | 29 | [
"99-59=40",
"40/10=4",
"25+4=29"
] | Current State: 29:[25, 10, 99, 59], Operations: []
Exploring Operation: 99-59=40, Resulting Numbers: [25, 10, 40]
Generated Node #2: [25, 10, 40] from Operation: 99-59=40
Current State: 29:[25, 10, 40], Operations: ['99-59=40']
Exploring Operation: 40/10=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 40/10=4
Current State: 29:[25, 4], Operations: ['99-59=40', '40/10=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
45,
56,
12,
52
] | 37 | [
"45+56=101",
"12+52=64",
"101-64=37"
] | Current State: 37:[45, 56, 12, 52], Operations: []
Exploring Operation: 45+56=101, Resulting Numbers: [12, 52, 101]
Generated Node #2: [12, 52, 101] from Operation: 45+56=101
Current State: 37:[12, 52, 101], Operations: ['45+56=101']
Exploring Operation: 12+52=64, Resulting Numbers: [101, 64]
Generated Node #3: [101, 64] from Operation: 12+52=64
Current State: 37:[101, 64], Operations: ['45+56=101', '12+52=64']
Exploring Operation: 101-64=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
25,
66,
63,
39
] | 67 | [
"25+66=91",
"63-39=24",
"91-24=67"
] | Current State: 67:[25, 66, 63, 39], Operations: []
Exploring Operation: 25+66=91, Resulting Numbers: [63, 39, 91]
Generated Node #2: [63, 39, 91] from Operation: 25+66=91
Current State: 67:[63, 39, 91], Operations: ['25+66=91']
Exploring Operation: 63-39=24, Resulting Numbers: [91, 24]
Generated Node #3: [91, 24] from Operation: 63-39=24
Current State: 67:[91, 24], Operations: ['25+66=91', '63-39=24']
Exploring Operation: 91-24=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
12,
57,
75,
73
] | 47 | [
"57-12=45",
"75-73=2",
"45+2=47"
] | Current State: 47:[12, 57, 75, 73], Operations: []
Exploring Operation: 57-12=45, Resulting Numbers: [75, 73, 45]
Generated Node #2: [75, 73, 45] from Operation: 57-12=45
Current State: 47:[75, 73, 45], Operations: ['57-12=45']
Exploring Operation: 75-73=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 75-73=2
Current State: 47:[45, 2], Operations: ['57-12=45', '75-73=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
81,
65,
84,
26
] | 66 | [
"81+84=165",
"26*165=4290",
"4290/65=66"
] | Current State: 66:[81, 65, 84, 26], Operations: []
Exploring Operation: 81+84=165, Resulting Numbers: [65, 26, 165]
Generated Node #2: [65, 26, 165] from Operation: 81+84=165
Current State: 66:[65, 26, 165], Operations: ['81+84=165']
Exploring Operation: 26*165=4290, Resulting Numbers: [65, 4290]
Generated Node #3: [65, 4290] from Operation: 26*165=4290
Current State: 66:[65, 4290], Operations: ['81+84=165', '26*165=4290']
Exploring Operation: 4290/65=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
13,
97,
61,
56
] | 33 | [
"97-13=84",
"61+56=117",
"117-84=33"
] | Current State: 33:[13, 97, 61, 56], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [61, 56, 84]
Generated Node #2: [61, 56, 84] from Operation: 97-13=84
Current State: 33:[61, 56, 84], Operations: ['97-13=84']
Exploring Operation: 61+56=117, Resulting Numbers: [84, 117]
Generated Node #3: [84, 117] from Operation: 61+56=117
Current State: 33:[84, 117], Operations: ['97-13=84', '61+56=117']
Exploring Operation: 117-84=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
7,
68,
31,
82
] | 38 | [
"7+68=75",
"31+82=113",
"113-75=38"
] | Current State: 38:[7, 68, 31, 82], Operations: []
Exploring Operation: 7+68=75, Resulting Numbers: [31, 82, 75]
Generated Node #2: [31, 82, 75] from Operation: 7+68=75
Current State: 38:[31, 82, 75], Operations: ['7+68=75']
Exploring Operation: 31+82=113, Resulting Numbers: [75, 113]
Generated Node #3: [75, 113] from Operation: 31+82=113
Current State: 38:[75, 113], Operations: ['7+68=75', '31+82=113']
Exploring Operation: 113-75=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
36,
42,
56,
38
] | 77 | [
"38-36=2",
"42/2=21",
"56+21=77"
] | Current State: 77:[36, 42, 56, 38], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [42, 56, 2]
Generated Node #2: [42, 56, 2] from Operation: 38-36=2
Current State: 77:[42, 56, 2], Operations: ['38-36=2']
Exploring Operation: 42/2=21, Resulting Numbers: [56, 21]
Generated Node #3: [56, 21] from Operation: 42/2=21
Current State: 77:[56, 21], Operations: ['38-36=2', '42/2=21']
Exploring Operation: 56+21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
14,
17,
75,
56
] | 16 | [
"17-14=3",
"75-56=19",
"19-3=16"
] | Current State: 16:[14, 17, 75, 56], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [75, 56, 3]
Generated Node #2: [75, 56, 3] from Operation: 17-14=3
Current State: 16:[75, 56, 3], Operations: ['17-14=3']
Exploring Operation: 75-56=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 75-56=19
Current State: 16:[3, 19], Operations: ['17-14=3', '75-56=19']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
88,
28,
3,
4
] | 94 | [
"88*3=264",
"264/4=66",
"28+66=94"
] | Current State: 94:[88, 28, 3, 4], Operations: []
Exploring Operation: 88*3=264, Resulting Numbers: [28, 4, 264]
Generated Node #2: [28, 4, 264] from Operation: 88*3=264
Current State: 94:[28, 4, 264], Operations: ['88*3=264']
Exploring Operation: 264/4=66, Resulting Numbers: [28, 66]
Generated Node #3: [28, 66] from Operation: 264/4=66
Current State: 94:[28, 66], Operations: ['88*3=264', '264/4=66']
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
11,
96,
56,
95
] | 44 | [
"11+96=107",
"56+95=151",
"151-107=44"
] | Current State: 44:[11, 96, 56, 95], Operations: []
Exploring Operation: 11+96=107, Resulting Numbers: [56, 95, 107]
Generated Node #2: [56, 95, 107] from Operation: 11+96=107
Current State: 44:[56, 95, 107], Operations: ['11+96=107']
Exploring Operation: 56+95=151, Resulting Numbers: [107, 151]
Generated Node #3: [107, 151] from Operation: 56+95=151
Current State: 44:[107, 151], Operations: ['11+96=107', '56+95=151']
Exploring Operation: 151-107=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
26,
88,
11,
50
] | 53 | [
"26+88=114",
"11+50=61",
"114-61=53"
] | Current State: 53:[26, 88, 11, 50], Operations: []
Exploring Operation: 26+88=114, Resulting Numbers: [11, 50, 114]
Generated Node #2: [11, 50, 114] from Operation: 26+88=114
Current State: 53:[11, 50, 114], Operations: ['26+88=114']
Exploring Operation: 11+50=61, Resulting Numbers: [114, 61]
Generated Node #3: [114, 61] from Operation: 11+50=61
Current State: 53:[114, 61], Operations: ['26+88=114', '11+50=61']
Exploring Operation: 114-61=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
9,
32,
4,
93
] | 48 | [
"9+32=41",
"93-4=89",
"89-41=48"
] | Current State: 48:[9, 32, 4, 93], Operations: []
Exploring Operation: 9+32=41, Resulting Numbers: [4, 93, 41]
Generated Node #2: [4, 93, 41] from Operation: 9+32=41
Current State: 48:[4, 93, 41], Operations: ['9+32=41']
Exploring Operation: 93-4=89, Resulting Numbers: [41, 89]
Generated Node #3: [41, 89] from Operation: 93-4=89
Current State: 48:[41, 89], Operations: ['9+32=41', '93-4=89']
Exploring Operation: 89-41=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
3,
27,
13,
33
] | 85 | [
"3*33=99",
"27-13=14",
"99-14=85"
] | Current State: 85:[3, 27, 13, 33], Operations: []
Exploring Operation: 3*33=99, Resulting Numbers: [27, 13, 99]
Generated Node #2: [27, 13, 99] from Operation: 3*33=99
Current State: 85:[27, 13, 99], Operations: ['3*33=99']
Exploring Operation: 27-13=14, Resulting Numbers: [99, 14]
Generated Node #3: [99, 14] from Operation: 27-13=14
Current State: 85:[99, 14], Operations: ['3*33=99', '27-13=14']
Exploring Operation: 99-14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
74,
12,
5,
98
] | 10 | [
"98-74=24",
"24/12=2",
"5*2=10"
] | Current State: 10:[74, 12, 5, 98], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [12, 5, 24]
Generated Node #2: [12, 5, 24] from Operation: 98-74=24
Current State: 10:[12, 5, 24], Operations: ['98-74=24']
Exploring Operation: 24/12=2, Resulting Numbers: [5, 2]
Generated Node #3: [5, 2] from Operation: 24/12=2
Current State: 10:[5, 2], Operations: ['98-74=24', '24/12=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
48,
2,
28,
67
] | 94 | [
"48-28=20",
"67-20=47",
"2*47=94"
] | Current State: 94:[48, 2, 28, 67], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [2, 67, 20]
Generated Node #2: [2, 67, 20] from Operation: 48-28=20
Current State: 94:[2, 67, 20], Operations: ['48-28=20']
Exploring Operation: 67-20=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 67-20=47
Current State: 94:[2, 47], Operations: ['48-28=20', '67-20=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
20,
81,
4,
23
] | 17 | [
"4+23=27",
"81/27=3",
"20-3=17"
] | Current State: 17:[20, 81, 4, 23], Operations: []
Exploring Operation: 4+23=27, Resulting Numbers: [20, 81, 27]
Generated Node #2: [20, 81, 27] from Operation: 4+23=27
Current State: 17:[20, 81, 27], Operations: ['4+23=27']
Exploring Operation: 81/27=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 81/27=3
Current State: 17:[20, 3], Operations: ['4+23=27', '81/27=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
78,
87,
9,
15
] | 86 | [
"87-15=72",
"72/9=8",
"78+8=86"
] | Current State: 86:[78, 87, 9, 15], Operations: []
Exploring Operation: 87-15=72, Resulting Numbers: [78, 9, 72]
Generated Node #2: [78, 9, 72] from Operation: 87-15=72
Current State: 86:[78, 9, 72], Operations: ['87-15=72']
Exploring Operation: 72/9=8, Resulting Numbers: [78, 8]
Generated Node #3: [78, 8] from Operation: 72/9=8
Current State: 86:[78, 8], Operations: ['87-15=72', '72/9=8']
Exploring Operation: 78+8=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
58,
69,
29,
62
] | 100 | [
"58/29=2",
"62/2=31",
"69+31=100"
] | Current State: 100:[58, 69, 29, 62], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [69, 62, 2]
Generated Node #2: [69, 62, 2] from Operation: 58/29=2
Current State: 100:[69, 62, 2], Operations: ['58/29=2']
Exploring Operation: 62/2=31, Resulting Numbers: [69, 31]
Generated Node #3: [69, 31] from Operation: 62/2=31
Current State: 100:[69, 31], Operations: ['58/29=2', '62/2=31']
Exploring Operation: 69+31=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
68,
75,
35,
91
] | 18 | [
"75-68=7",
"35+91=126",
"126/7=18"
] | Current State: 18:[68, 75, 35, 91], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [35, 91, 7]
Generated Node #2: [35, 91, 7] from Operation: 75-68=7
Current State: 18:[35, 91, 7], Operations: ['75-68=7']
Exploring Operation: 35+91=126, Resulting Numbers: [7, 126]
Generated Node #3: [7, 126] from Operation: 35+91=126
Current State: 18:[7, 126], Operations: ['75-68=7', '35+91=126']
Exploring Operation: 126/7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
50,
75,
42,
16
] | 53 | [
"50-42=8",
"16*8=128",
"128-75=53"
] | Current State: 53:[50, 75, 42, 16], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [75, 16, 8]
Generated Node #2: [75, 16, 8] from Operation: 50-42=8
Current State: 53:[75, 16, 8], Operations: ['50-42=8']
Exploring Operation: 16*8=128, Resulting Numbers: [75, 128]
Generated Node #3: [75, 128] from Operation: 16*8=128
Current State: 53:[75, 128], Operations: ['50-42=8', '16*8=128']
Exploring Operation: 128-75=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
4,
4,
60,
2
] | 92 | [
"4*4=16",
"2*16=32",
"60+32=92"
] | Current State: 92:[4, 4, 60, 2], Operations: []
Exploring Operation: 4*4=16, Resulting Numbers: [60, 2, 16]
Generated Node #2: [60, 2, 16] from Operation: 4*4=16
Current State: 92:[60, 2, 16], Operations: ['4*4=16']
Exploring Operation: 2*16=32, Resulting Numbers: [60, 32]
Generated Node #3: [60, 32] from Operation: 2*16=32
Current State: 92:[60, 32], Operations: ['4*4=16', '2*16=32']
Exploring Operation: 60+32=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
98,
21,
46,
12
] | 91 | [
"98-46=52",
"21*52=1092",
"1092/12=91"
] | Current State: 91:[98, 21, 46, 12], Operations: []
Exploring Operation: 98-46=52, Resulting Numbers: [21, 12, 52]
Generated Node #2: [21, 12, 52] from Operation: 98-46=52
Current State: 91:[21, 12, 52], Operations: ['98-46=52']
Exploring Operation: 21*52=1092, Resulting Numbers: [12, 1092]
Generated Node #3: [12, 1092] from Operation: 21*52=1092
Current State: 91:[12, 1092], Operations: ['98-46=52', '21*52=1092']
Exploring Operation: 1092/12=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
29,
61,
2,
33
] | 30 | [
"29*2=58",
"61-33=28",
"58-28=30"
] | Current State: 30:[29, 61, 2, 33], Operations: []
Exploring Operation: 29*2=58, Resulting Numbers: [61, 33, 58]
Generated Node #2: [61, 33, 58] from Operation: 29*2=58
Current State: 30:[61, 33, 58], Operations: ['29*2=58']
Exploring Operation: 61-33=28, Resulting Numbers: [58, 28]
Generated Node #3: [58, 28] from Operation: 61-33=28
Current State: 30:[58, 28], Operations: ['29*2=58', '61-33=28']
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
3,
61,
6,
4
] | 73 | [
"6-3=3",
"4*3=12",
"61+12=73"
] | Current State: 73:[3, 61, 6, 4], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [61, 4, 3]
Generated Node #2: [61, 4, 3] from Operation: 6-3=3
Current State: 73:[61, 4, 3], Operations: ['6-3=3']
Exploring Operation: 4*3=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 4*3=12
Current State: 73:[61, 12], Operations: ['6-3=3', '4*3=12']
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
90,
33,
61,
23
] | 39 | [
"90+33=123",
"61+23=84",
"123-84=39"
] | Current State: 39:[90, 33, 61, 23], Operations: []
Exploring Operation: 90+33=123, Resulting Numbers: [61, 23, 123]
Generated Node #2: [61, 23, 123] from Operation: 90+33=123
Current State: 39:[61, 23, 123], Operations: ['90+33=123']
Exploring Operation: 61+23=84, Resulting Numbers: [123, 84]
Generated Node #3: [123, 84] from Operation: 61+23=84
Current State: 39:[123, 84], Operations: ['90+33=123', '61+23=84']
Exploring Operation: 123-84=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
73,
99,
7,
64
] | 78 | [
"99-64=35",
"35/7=5",
"73+5=78"
] | Current State: 78:[73, 99, 7, 64], Operations: []
Exploring Operation: 99-64=35, Resulting Numbers: [73, 7, 35]
Generated Node #2: [73, 7, 35] from Operation: 99-64=35
Current State: 78:[73, 7, 35], Operations: ['99-64=35']
Exploring Operation: 35/7=5, Resulting Numbers: [73, 5]
Generated Node #3: [73, 5] from Operation: 35/7=5
Current State: 78:[73, 5], Operations: ['99-64=35', '35/7=5']
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
3,
96,
51,
4
] | 57 | [
"3*4=12",
"96-51=45",
"12+45=57"
] | Current State: 57:[3, 96, 51, 4], Operations: []
Exploring Operation: 3*4=12, Resulting Numbers: [96, 51, 12]
Generated Node #2: [96, 51, 12] from Operation: 3*4=12
Current State: 57:[96, 51, 12], Operations: ['3*4=12']
Exploring Operation: 96-51=45, Resulting Numbers: [12, 45]
Generated Node #3: [12, 45] from Operation: 96-51=45
Current State: 57:[12, 45], Operations: ['3*4=12', '96-51=45']
Exploring Operation: 12+45=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
15,
6,
53,
28
] | 17 | [
"15*28=420",
"420/6=70",
"70-53=17"
] | Current State: 17:[15, 6, 53, 28], Operations: []
Exploring Operation: 15*28=420, Resulting Numbers: [6, 53, 420]
Generated Node #2: [6, 53, 420] from Operation: 15*28=420
Current State: 17:[6, 53, 420], Operations: ['15*28=420']
Exploring Operation: 420/6=70, Resulting Numbers: [53, 70]
Generated Node #3: [53, 70] from Operation: 420/6=70
Current State: 17:[53, 70], Operations: ['15*28=420', '420/6=70']
Exploring Operation: 70-53=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
32,
65,
2,
39
] | 20 | [
"65+39=104",
"104/2=52",
"52-32=20"
] | Current State: 20:[32, 65, 2, 39], Operations: []
Exploring Operation: 65+39=104, Resulting Numbers: [32, 2, 104]
Generated Node #2: [32, 2, 104] from Operation: 65+39=104
Current State: 20:[32, 2, 104], Operations: ['65+39=104']
Exploring Operation: 104/2=52, Resulting Numbers: [32, 52]
Generated Node #3: [32, 52] from Operation: 104/2=52
Current State: 20:[32, 52], Operations: ['65+39=104', '104/2=52']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
57,
95,
99,
39
] | 92 | [
"57+95=152",
"99-39=60",
"152-60=92"
] | Current State: 92:[57, 95, 99, 39], Operations: []
Exploring Operation: 57+95=152, Resulting Numbers: [99, 39, 152]
Generated Node #2: [99, 39, 152] from Operation: 57+95=152
Current State: 92:[99, 39, 152], Operations: ['57+95=152']
Exploring Operation: 99-39=60, Resulting Numbers: [152, 60]
Generated Node #3: [152, 60] from Operation: 99-39=60
Current State: 92:[152, 60], Operations: ['57+95=152', '99-39=60']
Exploring Operation: 152-60=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
4,
3,
9,
28
] | 30 | [
"4+3=7",
"9+28=37",
"37-7=30"
] | Current State: 30:[4, 3, 9, 28], Operations: []
Exploring Operation: 4+3=7, Resulting Numbers: [9, 28, 7]
Generated Node #2: [9, 28, 7] from Operation: 4+3=7
Current State: 30:[9, 28, 7], Operations: ['4+3=7']
Exploring Operation: 9+28=37, Resulting Numbers: [7, 37]
Generated Node #3: [7, 37] from Operation: 9+28=37
Current State: 30:[7, 37], Operations: ['4+3=7', '9+28=37']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
98,
82,
55,
80
] | 11 | [
"98-82=16",
"55*16=880",
"880/80=11"
] | Current State: 11:[98, 82, 55, 80], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [55, 80, 16]
Generated Node #2: [55, 80, 16] from Operation: 98-82=16
Current State: 11:[55, 80, 16], Operations: ['98-82=16']
Exploring Operation: 55*16=880, Resulting Numbers: [80, 880]
Generated Node #3: [80, 880] from Operation: 55*16=880
Current State: 11:[80, 880], Operations: ['98-82=16', '55*16=880']
Exploring Operation: 880/80=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
12,
72,
21,
83
] | 98 | [
"72/12=6",
"21+83=104",
"104-6=98"
] | Current State: 98:[12, 72, 21, 83], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [21, 83, 6]
Generated Node #2: [21, 83, 6] from Operation: 72/12=6
Current State: 98:[21, 83, 6], Operations: ['72/12=6']
Exploring Operation: 21+83=104, Resulting Numbers: [6, 104]
Generated Node #3: [6, 104] from Operation: 21+83=104
Current State: 98:[6, 104], Operations: ['72/12=6', '21+83=104']
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
73,
12,
24,
15
] | 76 | [
"73+12=85",
"24-15=9",
"85-9=76"
] | Current State: 76:[73, 12, 24, 15], Operations: []
Exploring Operation: 73+12=85, Resulting Numbers: [24, 15, 85]
Generated Node #2: [24, 15, 85] from Operation: 73+12=85
Current State: 76:[24, 15, 85], Operations: ['73+12=85']
Exploring Operation: 24-15=9, Resulting Numbers: [85, 9]
Generated Node #3: [85, 9] from Operation: 24-15=9
Current State: 76:[85, 9], Operations: ['73+12=85', '24-15=9']
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
57,
9,
10,
47
] | 80 | [
"57-47=10",
"9*10=90",
"90-10=80"
] | Current State: 80:[57, 9, 10, 47], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [9, 10, 10]
Generated Node #2: [9, 10, 10] from Operation: 57-47=10
Current State: 80:[9, 10, 10], Operations: ['57-47=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,80 equal: Goal Reached
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
83,
10,
98,
49
] | 91 | [
"83+10=93",
"98/49=2",
"93-2=91"
] | Current State: 91:[83, 10, 98, 49], Operations: []
Exploring Operation: 83+10=93, Resulting Numbers: [98, 49, 93]
Generated Node #2: [98, 49, 93] from Operation: 83+10=93
Current State: 91:[98, 49, 93], Operations: ['83+10=93']
Exploring Operation: 98/49=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 98/49=2
Current State: 91:[93, 2], Operations: ['83+10=93', '98/49=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
17,
4,
43,
91
] | 35 | [
"17-4=13",
"91-43=48",
"48-13=35"
] | Current State: 35:[17, 4, 43, 91], Operations: []
Exploring Operation: 17-4=13, Resulting Numbers: [43, 91, 13]
Generated Node #2: [43, 91, 13] from Operation: 17-4=13
Current State: 35:[43, 91, 13], Operations: ['17-4=13']
Exploring Operation: 91-43=48, Resulting Numbers: [13, 48]
Generated Node #3: [13, 48] from Operation: 91-43=48
Current State: 35:[13, 48], Operations: ['17-4=13', '91-43=48']
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
36,
19,
32,
58
] | 81 | [
"36+19=55",
"58-32=26",
"55+26=81"
] | Current State: 81:[36, 19, 32, 58], Operations: []
Exploring Operation: 36+19=55, Resulting Numbers: [32, 58, 55]
Generated Node #2: [32, 58, 55] from Operation: 36+19=55
Current State: 81:[32, 58, 55], Operations: ['36+19=55']
Exploring Operation: 58-32=26, Resulting Numbers: [55, 26]
Generated Node #3: [55, 26] from Operation: 58-32=26
Current State: 81:[55, 26], Operations: ['36+19=55', '58-32=26']
Exploring Operation: 55+26=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
10,
69,
71,
51
] | 46 | [
"71-69=2",
"10/2=5",
"51-5=46"
] | Current State: 46:[10, 69, 71, 51], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [10, 51, 2]
Generated Node #2: [10, 51, 2] from Operation: 71-69=2
Current State: 46:[10, 51, 2], Operations: ['71-69=2']
Exploring Operation: 10/2=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 10/2=5
Current State: 46:[51, 5], Operations: ['71-69=2', '10/2=5']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
70,
49,
73,
59
] | 13 | [
"70+49=119",
"73+59=132",
"132-119=13"
] | Current State: 13:[70, 49, 73, 59], Operations: []
Exploring Operation: 70+49=119, Resulting Numbers: [73, 59, 119]
Generated Node #2: [73, 59, 119] from Operation: 70+49=119
Current State: 13:[73, 59, 119], Operations: ['70+49=119']
Exploring Operation: 73+59=132, Resulting Numbers: [119, 132]
Generated Node #3: [119, 132] from Operation: 73+59=132
Current State: 13:[119, 132], Operations: ['70+49=119', '73+59=132']
Exploring Operation: 132-119=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
14,
6,
9,
15
] | 56 | [
"9+15=24",
"14*24=336",
"336/6=56"
] | Current State: 56:[14, 6, 9, 15], Operations: []
Exploring Operation: 9+15=24, Resulting Numbers: [14, 6, 24]
Generated Node #2: [14, 6, 24] from Operation: 9+15=24
Current State: 56:[14, 6, 24], Operations: ['9+15=24']
Exploring Operation: 14*24=336, Resulting Numbers: [6, 336]
Generated Node #3: [6, 336] from Operation: 14*24=336
Current State: 56:[6, 336], Operations: ['9+15=24', '14*24=336']
Exploring Operation: 336/6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
70,
87,
66,
7
] | 29 | [
"70-66=4",
"7-4=3",
"87/3=29"
] | Current State: 29:[70, 87, 66, 7], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [87, 7, 4]
Generated Node #2: [87, 7, 4] from Operation: 70-66=4
Current State: 29:[87, 7, 4], Operations: ['70-66=4']
Exploring Operation: 7-4=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 7-4=3
Current State: 29:[87, 3], Operations: ['70-66=4', '7-4=3']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
41,
61,
2,
18
] | 99 | [
"41-18=23",
"61*2=122",
"122-23=99"
] | Current State: 99:[41, 61, 2, 18], Operations: []
Exploring Operation: 41-18=23, Resulting Numbers: [61, 2, 23]
Generated Node #2: [61, 2, 23] from Operation: 41-18=23
Current State: 99:[61, 2, 23], Operations: ['41-18=23']
Exploring Operation: 61*2=122, Resulting Numbers: [23, 122]
Generated Node #3: [23, 122] from Operation: 61*2=122
Current State: 99:[23, 122], Operations: ['41-18=23', '61*2=122']
Exploring Operation: 122-23=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
92,
39,
25,
97
] | 100 | [
"92+25=117",
"117/39=3",
"97+3=100"
] | Current State: 100:[92, 39, 25, 97], Operations: []
Exploring Operation: 92+25=117, Resulting Numbers: [39, 97, 117]
Generated Node #2: [39, 97, 117] from Operation: 92+25=117
Current State: 100:[39, 97, 117], Operations: ['92+25=117']
Exploring Operation: 117/39=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 117/39=3
Current State: 100:[97, 3], Operations: ['92+25=117', '117/39=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
65,
6,
40,
79
] | 71 | [
"65-40=25",
"6*25=150",
"150-79=71"
] | Current State: 71:[65, 6, 40, 79], Operations: []
Exploring Operation: 65-40=25, Resulting Numbers: [6, 79, 25]
Generated Node #2: [6, 79, 25] from Operation: 65-40=25
Current State: 71:[6, 79, 25], Operations: ['65-40=25']
Exploring Operation: 6*25=150, Resulting Numbers: [79, 150]
Generated Node #3: [79, 150] from Operation: 6*25=150
Current State: 71:[79, 150], Operations: ['65-40=25', '6*25=150']
Exploring Operation: 150-79=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
68,
21,
70,
98
] | 56 | [
"70-68=2",
"21*2=42",
"98-42=56"
] | Current State: 56:[68, 21, 70, 98], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [21, 98, 2]
Generated Node #2: [21, 98, 2] from Operation: 70-68=2
Current State: 56:[21, 98, 2], Operations: ['70-68=2']
Exploring Operation: 21*2=42, Resulting Numbers: [98, 42]
Generated Node #3: [98, 42] from Operation: 21*2=42
Current State: 56:[98, 42], Operations: ['70-68=2', '21*2=42']
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
44,
39,
78,
27
] | 61 | [
"44*78=3432",
"3432/39=88",
"88-27=61"
] | Current State: 61:[44, 39, 78, 27], Operations: []
Exploring Operation: 44*78=3432, Resulting Numbers: [39, 27, 3432]
Generated Node #2: [39, 27, 3432] from Operation: 44*78=3432
Current State: 61:[39, 27, 3432], Operations: ['44*78=3432']
Exploring Operation: 3432/39=88, Resulting Numbers: [27, 88]
Generated Node #3: [27, 88] from Operation: 3432/39=88
Current State: 61:[27, 88], Operations: ['44*78=3432', '3432/39=88']
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
16,
12,
11,
86
] | 78 | [
"16*11=176",
"12+86=98",
"176-98=78"
] | Current State: 78:[16, 12, 11, 86], Operations: []
Exploring Operation: 16*11=176, Resulting Numbers: [12, 86, 176]
Generated Node #2: [12, 86, 176] from Operation: 16*11=176
Current State: 78:[12, 86, 176], Operations: ['16*11=176']
Exploring Operation: 12+86=98, Resulting Numbers: [176, 98]
Generated Node #3: [176, 98] from Operation: 12+86=98
Current State: 78:[176, 98], Operations: ['16*11=176', '12+86=98']
Exploring Operation: 176-98=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
50,
16,
75,
69
] | 46 | [
"75-69=6",
"16*6=96",
"96-50=46"
] | Current State: 46:[50, 16, 75, 69], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [50, 16, 6]
Generated Node #2: [50, 16, 6] from Operation: 75-69=6
Current State: 46:[50, 16, 6], Operations: ['75-69=6']
Exploring Operation: 16*6=96, Resulting Numbers: [50, 96]
Generated Node #3: [50, 96] from Operation: 16*6=96
Current State: 46:[50, 96], Operations: ['75-69=6', '16*6=96']
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
34,
1,
30,
1
] | 13 | [
"1+1=2",
"34/2=17",
"30-17=13"
] | Current State: 13:[34, 1, 30, 1], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [34, 30, 2]
Generated Node #2: [34, 30, 2] from Operation: 1+1=2
Current State: 13:[34, 30, 2], Operations: ['1+1=2']
Exploring Operation: 34/2=17, Resulting Numbers: [30, 17]
Generated Node #3: [30, 17] from Operation: 34/2=17
Current State: 13:[30, 17], Operations: ['1+1=2', '34/2=17']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
50,
68,
81,
88
] | 25 | [
"68-50=18",
"88-81=7",
"18+7=25"
] | Current State: 25:[50, 68, 81, 88], Operations: []
Exploring Operation: 68-50=18, Resulting Numbers: [81, 88, 18]
Generated Node #2: [81, 88, 18] from Operation: 68-50=18
Current State: 25:[81, 88, 18], Operations: ['68-50=18']
Exploring Operation: 88-81=7, Resulting Numbers: [18, 7]
Generated Node #3: [18, 7] from Operation: 88-81=7
Current State: 25:[18, 7], Operations: ['68-50=18', '88-81=7']
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
5,
7,
66,
13
] | 77 | [
"7-5=2",
"66+13=79",
"79-2=77"
] | Current State: 77:[5, 7, 66, 13], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [66, 13, 2]
Generated Node #2: [66, 13, 2] from Operation: 7-5=2
Current State: 77:[66, 13, 2], Operations: ['7-5=2']
Exploring Operation: 66+13=79, Resulting Numbers: [2, 79]
Generated Node #3: [2, 79] from Operation: 66+13=79
Current State: 77:[2, 79], Operations: ['7-5=2', '66+13=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
96,
49,
65,
5
] | 35 | [
"96-5=91",
"49*65=3185",
"3185/91=35"
] | Current State: 35:[96, 49, 65, 5], Operations: []
Exploring Operation: 96-5=91, Resulting Numbers: [49, 65, 91]
Generated Node #2: [49, 65, 91] from Operation: 96-5=91
Current State: 35:[49, 65, 91], Operations: ['96-5=91']
Exploring Operation: 49*65=3185, Resulting Numbers: [91, 3185]
Generated Node #3: [91, 3185] from Operation: 49*65=3185
Current State: 35:[91, 3185], Operations: ['96-5=91', '49*65=3185']
Exploring Operation: 3185/91=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
49,
15,
2,
13
] | 33 | [
"49-13=36",
"36/2=18",
"15+18=33"
] | Current State: 33:[49, 15, 2, 13], Operations: []
Exploring Operation: 49-13=36, Resulting Numbers: [15, 2, 36]
Generated Node #2: [15, 2, 36] from Operation: 49-13=36
Current State: 33:[15, 2, 36], Operations: ['49-13=36']
Exploring Operation: 36/2=18, Resulting Numbers: [15, 18]
Generated Node #3: [15, 18] from Operation: 36/2=18
Current State: 33:[15, 18], Operations: ['49-13=36', '36/2=18']
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
95,
88,
48,
48
] | 87 | [
"95+88=183",
"48+48=96",
"183-96=87"
] | Current State: 87:[95, 88, 48, 48], Operations: []
Exploring Operation: 95+88=183, Resulting Numbers: [48, 48, 183]
Generated Node #2: [48, 48, 183] from Operation: 95+88=183
Current State: 87:[48, 48, 183], Operations: ['95+88=183']
Exploring Operation: 48+48=96, Resulting Numbers: [183, 96]
Generated Node #3: [183, 96] from Operation: 48+48=96
Current State: 87:[183, 96], Operations: ['95+88=183', '48+48=96']
Exploring Operation: 183-96=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
11,
88,
14,
26
] | 92 | [
"11*14=154",
"88-26=62",
"154-62=92"
] | Current State: 92:[11, 88, 14, 26], Operations: []
Exploring Operation: 11*14=154, Resulting Numbers: [88, 26, 154]
Generated Node #2: [88, 26, 154] from Operation: 11*14=154
Current State: 92:[88, 26, 154], Operations: ['11*14=154']
Exploring Operation: 88-26=62, Resulting Numbers: [154, 62]
Generated Node #3: [154, 62] from Operation: 88-26=62
Current State: 92:[154, 62], Operations: ['11*14=154', '88-26=62']
Exploring Operation: 154-62=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
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