nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
42,
58,
21,
2
] | 16 | [
"42-21=21",
"2*21=42",
"58-42=16"
] | Current State: 16:[42, 58, 21, 2], Operations: []
Exploring Operation: 42-21=21, Resulting Numbers: [58, 2, 21]
Generated Node #2: [58, 2, 21] from Operation: 42-21=21
Current State: 16:[58, 2, 21], Operations: ['42-21=21']
Exploring Operation: 2*21=42, Resulting Numbers: [58, 42]
Generated Node #3: [58, 42] from Operation: 2*21=42
Current State: 16:[58, 42], Operations: ['42-21=21', '2*21=42']
Exploring Operation: 58-42=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
6,
53,
70,
10
] | 100 | [
"53*10=530",
"70+530=600",
"600/6=100"
] | Current State: 100:[6, 53, 70, 10], Operations: []
Exploring Operation: 53*10=530, Resulting Numbers: [6, 70, 530]
Generated Node #2: [6, 70, 530] from Operation: 53*10=530
Current State: 100:[6, 70, 530], Operations: ['53*10=530']
Exploring Operation: 70+530=600, Resulting Numbers: [6, 600]
Generated Node #3: [6, 600] from Operation: 70+530=600
Current State: 100:[6, 600], Operations: ['53*10=530', '70+530=600']
Exploring Operation: 600/6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
8,
33,
5,
22
] | 69 | [
"8+33=41",
"5*22=110",
"110-41=69"
] | Current State: 69:[8, 33, 5, 22], Operations: []
Exploring Operation: 8+33=41, Resulting Numbers: [5, 22, 41]
Generated Node #2: [5, 22, 41] from Operation: 8+33=41
Current State: 69:[5, 22, 41], Operations: ['8+33=41']
Exploring Operation: 5*22=110, Resulting Numbers: [41, 110]
Generated Node #3: [41, 110] from Operation: 5*22=110
Current State: 69:[41, 110], Operations: ['8+33=41', '5*22=110']
Exploring Operation: 110-41=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
4,
37,
87,
27
] | 52 | [
"87-27=60",
"60/4=15",
"37+15=52"
] | Current State: 52:[4, 37, 87, 27], Operations: []
Exploring Operation: 87-27=60, Resulting Numbers: [4, 37, 60]
Generated Node #2: [4, 37, 60] from Operation: 87-27=60
Current State: 52:[4, 37, 60], Operations: ['87-27=60']
Exploring Operation: 60/4=15, Resulting Numbers: [37, 15]
Generated Node #3: [37, 15] from Operation: 60/4=15
Current State: 52:[37, 15], Operations: ['87-27=60', '60/4=15']
Exploring Operation: 37+15=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
58,
20,
14,
62
] | 38 | [
"58-20=38",
"14+62=76",
"76-38=38"
] | Current State: 38:[58, 20, 14, 62], Operations: []
Exploring Operation: 58-20=38, Resulting Numbers: [14, 62, 38]
Generated Node #2: [14, 62, 38] from Operation: 58-20=38
Current State: 38:[14, 62, 38], Operations: ['58-20=38']
Exploring Operation: 14+62=76, Resulting Numbers: [38, 76]
Generated Node #3: [38, 76] from Operation: 14+62=76
Current State: 38:[38, 76], Operations: ['58-20=38', '14+62=76']
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
63,
78,
85,
65
] | 56 | [
"85-78=7",
"63/7=9",
"65-9=56"
] | Current State: 56:[63, 78, 85, 65], Operations: []
Exploring Operation: 85-78=7, Resulting Numbers: [63, 65, 7]
Generated Node #2: [63, 65, 7] from Operation: 85-78=7
Current State: 56:[63, 65, 7], Operations: ['85-78=7']
Exploring Operation: 63/7=9, Resulting Numbers: [65, 9]
Generated Node #3: [65, 9] from Operation: 63/7=9
Current State: 56:[65, 9], Operations: ['85-78=7', '63/7=9']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
52,
13,
39,
13
] | 49 | [
"52*13=676",
"676-39=637",
"637/13=49"
] | Current State: 49:[52, 13, 39, 13], Operations: []
Exploring Operation: 52*13=676, Resulting Numbers: [39, 676]
Generated Node #2: [39, 676] from Operation: 52*13=676
Current State: 49:[39, 676], Operations: ['52*13=676']
Exploring Operation: 676-39=637, Resulting Numbers: [637]
637,49 equal: Goal Reached
Exploring Operation: 637/13=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
94,
6,
25,
8
] | 71 | [
"94-6=88",
"25-8=17",
"88-17=71"
] | Current State: 71:[94, 6, 25, 8], Operations: []
Exploring Operation: 94-6=88, Resulting Numbers: [25, 8, 88]
Generated Node #2: [25, 8, 88] from Operation: 94-6=88
Current State: 71:[25, 8, 88], Operations: ['94-6=88']
Exploring Operation: 25-8=17, Resulting Numbers: [88, 17]
Generated Node #3: [88, 17] from Operation: 25-8=17
Current State: 71:[88, 17], Operations: ['94-6=88', '25-8=17']
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
36,
67,
35,
99
] | 18 | [
"36*67=2412",
"35+99=134",
"2412/134=18"
] | Current State: 18:[36, 67, 35, 99], Operations: []
Exploring Operation: 36*67=2412, Resulting Numbers: [35, 99, 2412]
Generated Node #2: [35, 99, 2412] from Operation: 36*67=2412
Current State: 18:[35, 99, 2412], Operations: ['36*67=2412']
Exploring Operation: 35+99=134, Resulting Numbers: [2412, 134]
Generated Node #3: [2412, 134] from Operation: 35+99=134
Current State: 18:[2412, 134], Operations: ['36*67=2412', '35+99=134']
Exploring Operation: 2412/134=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
3,
99,
21,
99
] | 64 | [
"3*21=63",
"99/99=1",
"63+1=64"
] | Current State: 64:[3, 99, 21, 99], Operations: []
Exploring Operation: 3*21=63, Resulting Numbers: [99, 99, 63]
Generated Node #2: [99, 99, 63] from Operation: 3*21=63
Current State: 64:[99, 99, 63], Operations: ['3*21=63']
Exploring Operation: 99/99=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 99/99=1
Current State: 64:[63, 1], Operations: ['3*21=63', '99/99=1']
Exploring Operation: 63+1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
78,
11,
17,
64
] | 77 | [
"17-11=6",
"78/6=13",
"64+13=77"
] | Current State: 77:[78, 11, 17, 64], Operations: []
Exploring Operation: 17-11=6, Resulting Numbers: [78, 64, 6]
Generated Node #2: [78, 64, 6] from Operation: 17-11=6
Current State: 77:[78, 64, 6], Operations: ['17-11=6']
Exploring Operation: 78/6=13, Resulting Numbers: [64, 13]
Generated Node #3: [64, 13] from Operation: 78/6=13
Current State: 77:[64, 13], Operations: ['17-11=6', '78/6=13']
Exploring Operation: 64+13=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
88,
80,
89,
33
] | 64 | [
"88-80=8",
"89-33=56",
"8+56=64"
] | Current State: 64:[88, 80, 89, 33], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [89, 33, 8]
Generated Node #2: [89, 33, 8] from Operation: 88-80=8
Current State: 64:[89, 33, 8], Operations: ['88-80=8']
Exploring Operation: 89-33=56, Resulting Numbers: [8, 56]
Generated Node #3: [8, 56] from Operation: 89-33=56
Current State: 64:[8, 56], Operations: ['88-80=8', '89-33=56']
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
13,
63,
87,
37
] | 89 | [
"63-37=26",
"26/13=2",
"87+2=89"
] | Current State: 89:[13, 63, 87, 37], Operations: []
Exploring Operation: 63-37=26, Resulting Numbers: [13, 87, 26]
Generated Node #2: [13, 87, 26] from Operation: 63-37=26
Current State: 89:[13, 87, 26], Operations: ['63-37=26']
Exploring Operation: 26/13=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 26/13=2
Current State: 89:[87, 2], Operations: ['63-37=26', '26/13=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
39,
80,
46,
51
] | 46 | [
"80-39=41",
"51-46=5",
"41+5=46"
] | Current State: 46:[39, 80, 46, 51], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [46, 51, 41]
Generated Node #2: [46, 51, 41] from Operation: 80-39=41
Current State: 46:[46, 51, 41], Operations: ['80-39=41']
Exploring Operation: 51-46=5, Resulting Numbers: [41, 5]
Generated Node #3: [41, 5] from Operation: 51-46=5
Current State: 46:[41, 5], Operations: ['80-39=41', '51-46=5']
Exploring Operation: 41+5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
71,
37,
34,
80
] | 81 | [
"71-37=34",
"34/34=1",
"80+1=81"
] | Current State: 81:[71, 37, 34, 80], Operations: []
Exploring Operation: 71-37=34, Resulting Numbers: [34, 80, 34]
Generated Node #2: [34, 80, 34] from Operation: 71-37=34
Current State: 81:[34, 80, 34], Operations: ['71-37=34']
Exploring Operation: 34/34=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 34/34=1
Current State: 81:[80, 1], Operations: ['71-37=34', '34/34=1']
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
55,
78,
89,
52
] | 57 | [
"89-78=11",
"55/11=5",
"52+5=57"
] | Current State: 57:[55, 78, 89, 52], Operations: []
Exploring Operation: 89-78=11, Resulting Numbers: [55, 52, 11]
Generated Node #2: [55, 52, 11] from Operation: 89-78=11
Current State: 57:[55, 52, 11], Operations: ['89-78=11']
Exploring Operation: 55/11=5, Resulting Numbers: [52, 5]
Generated Node #3: [52, 5] from Operation: 55/11=5
Current State: 57:[52, 5], Operations: ['89-78=11', '55/11=5']
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
68,
22,
57,
44
] | 23 | [
"68*22=1496",
"1496/44=34",
"57-34=23"
] | Current State: 23:[68, 22, 57, 44], Operations: []
Exploring Operation: 68*22=1496, Resulting Numbers: [57, 44, 1496]
Generated Node #2: [57, 44, 1496] from Operation: 68*22=1496
Current State: 23:[57, 44, 1496], Operations: ['68*22=1496']
Exploring Operation: 1496/44=34, Resulting Numbers: [57, 34]
Generated Node #3: [57, 34] from Operation: 1496/44=34
Current State: 23:[57, 34], Operations: ['68*22=1496', '1496/44=34']
Exploring Operation: 57-34=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
11,
9,
14,
40
] | 75 | [
"11+40=51",
"9*14=126",
"126-51=75"
] | Current State: 75:[11, 9, 14, 40], Operations: []
Exploring Operation: 11+40=51, Resulting Numbers: [9, 14, 51]
Generated Node #2: [9, 14, 51] from Operation: 11+40=51
Current State: 75:[9, 14, 51], Operations: ['11+40=51']
Exploring Operation: 9*14=126, Resulting Numbers: [51, 126]
Generated Node #3: [51, 126] from Operation: 9*14=126
Current State: 75:[51, 126], Operations: ['11+40=51', '9*14=126']
Exploring Operation: 126-51=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
14,
24,
17,
92
] | 65 | [
"24-14=10",
"92-17=75",
"75-10=65"
] | Current State: 65:[14, 24, 17, 92], Operations: []
Exploring Operation: 24-14=10, Resulting Numbers: [17, 92, 10]
Generated Node #2: [17, 92, 10] from Operation: 24-14=10
Current State: 65:[17, 92, 10], Operations: ['24-14=10']
Exploring Operation: 92-17=75, Resulting Numbers: [10, 75]
Generated Node #3: [10, 75] from Operation: 92-17=75
Current State: 65:[10, 75], Operations: ['24-14=10', '92-17=75']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
42,
5,
6,
70
] | 50 | [
"42-6=36",
"70/5=14",
"36+14=50"
] | Current State: 50:[42, 5, 6, 70], Operations: []
Exploring Operation: 42-6=36, Resulting Numbers: [5, 70, 36]
Generated Node #2: [5, 70, 36] from Operation: 42-6=36
Current State: 50:[5, 70, 36], Operations: ['42-6=36']
Exploring Operation: 70/5=14, Resulting Numbers: [36, 14]
Generated Node #3: [36, 14] from Operation: 70/5=14
Current State: 50:[36, 14], Operations: ['42-6=36', '70/5=14']
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
84,
25,
15,
24
] | 99 | [
"84+15=99",
"25-24=1",
"99*1=99"
] | Current State: 99:[84, 25, 15, 24], Operations: []
Exploring Operation: 84+15=99, Resulting Numbers: [25, 24, 99]
Generated Node #2: [25, 24, 99] from Operation: 84+15=99
Current State: 99:[25, 24, 99], Operations: ['84+15=99']
Exploring Operation: 25-24=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 25-24=1
Current State: 99:[99, 1], Operations: ['84+15=99', '25-24=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
3,
99,
68,
72
] | 87 | [
"72-68=4",
"3*4=12",
"99-12=87"
] | Current State: 87:[3, 99, 68, 72], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [3, 99, 4]
Generated Node #2: [3, 99, 4] from Operation: 72-68=4
Current State: 87:[3, 99, 4], Operations: ['72-68=4']
Exploring Operation: 3*4=12, Resulting Numbers: [99, 12]
Generated Node #3: [99, 12] from Operation: 3*4=12
Current State: 87:[99, 12], Operations: ['72-68=4', '3*4=12']
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
3,
57,
85,
61
] | 84 | [
"3+57=60",
"85-61=24",
"60+24=84"
] | Current State: 84:[3, 57, 85, 61], Operations: []
Exploring Operation: 3+57=60, Resulting Numbers: [85, 61, 60]
Generated Node #2: [85, 61, 60] from Operation: 3+57=60
Current State: 84:[85, 61, 60], Operations: ['3+57=60']
Exploring Operation: 85-61=24, Resulting Numbers: [60, 24]
Generated Node #3: [60, 24] from Operation: 85-61=24
Current State: 84:[60, 24], Operations: ['3+57=60', '85-61=24']
Exploring Operation: 60+24=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
75,
13,
82,
68
] | 74 | [
"75+13=88",
"82-68=14",
"88-14=74"
] | Current State: 74:[75, 13, 82, 68], Operations: []
Exploring Operation: 75+13=88, Resulting Numbers: [82, 68, 88]
Generated Node #2: [82, 68, 88] from Operation: 75+13=88
Current State: 74:[82, 68, 88], Operations: ['75+13=88']
Exploring Operation: 82-68=14, Resulting Numbers: [88, 14]
Generated Node #3: [88, 14] from Operation: 82-68=14
Current State: 74:[88, 14], Operations: ['75+13=88', '82-68=14']
Exploring Operation: 88-14=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
42,
13,
52,
25
] | 68 | [
"42-25=17",
"52/13=4",
"17*4=68"
] | Current State: 68:[42, 13, 52, 25], Operations: []
Exploring Operation: 42-25=17, Resulting Numbers: [13, 52, 17]
Generated Node #2: [13, 52, 17] from Operation: 42-25=17
Current State: 68:[13, 52, 17], Operations: ['42-25=17']
Exploring Operation: 52/13=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 52/13=4
Current State: 68:[17, 4], Operations: ['42-25=17', '52/13=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
88,
11,
63,
63
] | 49 | [
"88-11=77",
"63+63=126",
"126-77=49"
] | Current State: 49:[88, 11, 63, 63], Operations: []
Exploring Operation: 88-11=77, Resulting Numbers: [63, 63, 77]
Generated Node #2: [63, 63, 77] from Operation: 88-11=77
Current State: 49:[63, 63, 77], Operations: ['88-11=77']
Exploring Operation: 63+63=126, Resulting Numbers: [77, 126]
Generated Node #3: [77, 126] from Operation: 63+63=126
Current State: 49:[77, 126], Operations: ['88-11=77', '63+63=126']
Exploring Operation: 126-77=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
58,
51,
46,
49
] | 21 | [
"58-51=7",
"49-46=3",
"7*3=21"
] | Current State: 21:[58, 51, 46, 49], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [46, 49, 7]
Generated Node #2: [46, 49, 7] from Operation: 58-51=7
Current State: 21:[46, 49, 7], Operations: ['58-51=7']
Exploring Operation: 49-46=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 49-46=3
Current State: 21:[7, 3], Operations: ['58-51=7', '49-46=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
31,
56,
62,
1
] | 59 | [
"62/31=2",
"56+1=57",
"2+57=59"
] | Current State: 59:[31, 56, 62, 1], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [56, 1, 2]
Generated Node #2: [56, 1, 2] from Operation: 62/31=2
Current State: 59:[56, 1, 2], Operations: ['62/31=2']
Exploring Operation: 56+1=57, Resulting Numbers: [2, 57]
Generated Node #3: [2, 57] from Operation: 56+1=57
Current State: 59:[2, 57], Operations: ['62/31=2', '56+1=57']
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
18,
75,
85,
81
] | 97 | [
"18+75=93",
"85-81=4",
"93+4=97"
] | Current State: 97:[18, 75, 85, 81], Operations: []
Exploring Operation: 18+75=93, Resulting Numbers: [85, 81, 93]
Generated Node #2: [85, 81, 93] from Operation: 18+75=93
Current State: 97:[85, 81, 93], Operations: ['18+75=93']
Exploring Operation: 85-81=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 85-81=4
Current State: 97:[93, 4], Operations: ['18+75=93', '85-81=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
1,
5,
74,
65
] | 45 | [
"1*5=5",
"74-65=9",
"5*9=45"
] | Current State: 45:[1, 5, 74, 65], Operations: []
Exploring Operation: 1*5=5, Resulting Numbers: [74, 65, 5]
Generated Node #2: [74, 65, 5] from Operation: 1*5=5
Current State: 45:[74, 65, 5], Operations: ['1*5=5']
Exploring Operation: 74-65=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 74-65=9
Current State: 45:[5, 9], Operations: ['1*5=5', '74-65=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
49,
36,
38
] | 44 | [
"49-3=46",
"38-36=2",
"46-2=44"
] | Current State: 44:[3, 49, 36, 38], Operations: []
Exploring Operation: 49-3=46, Resulting Numbers: [36, 38, 46]
Generated Node #2: [36, 38, 46] from Operation: 49-3=46
Current State: 44:[36, 38, 46], Operations: ['49-3=46']
Exploring Operation: 38-36=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 38-36=2
Current State: 44:[46, 2], Operations: ['49-3=46', '38-36=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
85,
30,
95,
65
] | 71 | [
"85+95=180",
"180/30=6",
"65+6=71"
] | Current State: 71:[85, 30, 95, 65], Operations: []
Exploring Operation: 85+95=180, Resulting Numbers: [30, 65, 180]
Generated Node #2: [30, 65, 180] from Operation: 85+95=180
Current State: 71:[30, 65, 180], Operations: ['85+95=180']
Exploring Operation: 180/30=6, Resulting Numbers: [65, 6]
Generated Node #3: [65, 6] from Operation: 180/30=6
Current State: 71:[65, 6], Operations: ['85+95=180', '180/30=6']
Exploring Operation: 65+6=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
98,
55,
98,
97
] | 44 | [
"98-55=43",
"98-97=1",
"43+1=44"
] | Current State: 44:[98, 55, 98, 97], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [97, 43]
Generated Node #2: [97, 43] from Operation: 98-55=43
Current State: 44:[97, 43], Operations: ['98-55=43']
Exploring Operation: 98-97=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 98-97=1
Current State: 44:[43, 1], Operations: ['98-55=43', '98-97=1']
Exploring Operation: 43+1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
12,
46,
47,
96
] | 84 | [
"96-12=84",
"47-46=1",
"84*1=84"
] | Current State: 84:[12, 46, 47, 96], Operations: []
Exploring Operation: 96-12=84, Resulting Numbers: [46, 47, 84]
Generated Node #2: [46, 47, 84] from Operation: 96-12=84
Current State: 84:[46, 47, 84], Operations: ['96-12=84']
Exploring Operation: 47-46=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 47-46=1
Current State: 84:[84, 1], Operations: ['96-12=84', '47-46=1']
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
88,
38,
25,
7
] | 43 | [
"88+38=126",
"126/7=18",
"25+18=43"
] | Current State: 43:[88, 38, 25, 7], Operations: []
Exploring Operation: 88+38=126, Resulting Numbers: [25, 7, 126]
Generated Node #2: [25, 7, 126] from Operation: 88+38=126
Current State: 43:[25, 7, 126], Operations: ['88+38=126']
Exploring Operation: 126/7=18, Resulting Numbers: [25, 18]
Generated Node #3: [25, 18] from Operation: 126/7=18
Current State: 43:[25, 18], Operations: ['88+38=126', '126/7=18']
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
2,
93,
91,
94
] | 94 | [
"93-2=91",
"91+94=185",
"185-91=94"
] | Current State: 94:[2, 93, 91, 94], Operations: []
Exploring Operation: 93-2=91, Resulting Numbers: [91, 94, 91]
Generated Node #2: [91, 94, 91] from Operation: 93-2=91
Current State: 94:[91, 94, 91], Operations: ['93-2=91']
Exploring Operation: 91+94=185, Resulting Numbers: [185]
185,94 equal: Goal Reached
Exploring Operation: 185-91=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
10,
93,
27,
85
] | 45 | [
"10+93=103",
"85-27=58",
"103-58=45"
] | Current State: 45:[10, 93, 27, 85], Operations: []
Exploring Operation: 10+93=103, Resulting Numbers: [27, 85, 103]
Generated Node #2: [27, 85, 103] from Operation: 10+93=103
Current State: 45:[27, 85, 103], Operations: ['10+93=103']
Exploring Operation: 85-27=58, Resulting Numbers: [103, 58]
Generated Node #3: [103, 58] from Operation: 85-27=58
Current State: 45:[103, 58], Operations: ['10+93=103', '85-27=58']
Exploring Operation: 103-58=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
4,
84,
23,
48
] | 96 | [
"84/4=21",
"23-21=2",
"48*2=96"
] | Current State: 96:[4, 84, 23, 48], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [23, 48, 21]
Generated Node #2: [23, 48, 21] from Operation: 84/4=21
Current State: 96:[23, 48, 21], Operations: ['84/4=21']
Exploring Operation: 23-21=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 23-21=2
Current State: 96:[48, 2], Operations: ['84/4=21', '23-21=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
51,
62,
60,
29
] | 73 | [
"62-60=2",
"51*2=102",
"102-29=73"
] | Current State: 73:[51, 62, 60, 29], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [51, 29, 2]
Generated Node #2: [51, 29, 2] from Operation: 62-60=2
Current State: 73:[51, 29, 2], Operations: ['62-60=2']
Exploring Operation: 51*2=102, Resulting Numbers: [29, 102]
Generated Node #3: [29, 102] from Operation: 51*2=102
Current State: 73:[29, 102], Operations: ['62-60=2', '51*2=102']
Exploring Operation: 102-29=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
48,
22,
11,
6
] | 27 | [
"48+6=54",
"22/11=2",
"54/2=27"
] | Current State: 27:[48, 22, 11, 6], Operations: []
Exploring Operation: 48+6=54, Resulting Numbers: [22, 11, 54]
Generated Node #2: [22, 11, 54] from Operation: 48+6=54
Current State: 27:[22, 11, 54], Operations: ['48+6=54']
Exploring Operation: 22/11=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 22/11=2
Current State: 27:[54, 2], Operations: ['48+6=54', '22/11=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
63,
68,
95,
17
] | 19 | [
"63+68=131",
"95+17=112",
"131-112=19"
] | Current State: 19:[63, 68, 95, 17], Operations: []
Exploring Operation: 63+68=131, Resulting Numbers: [95, 17, 131]
Generated Node #2: [95, 17, 131] from Operation: 63+68=131
Current State: 19:[95, 17, 131], Operations: ['63+68=131']
Exploring Operation: 95+17=112, Resulting Numbers: [131, 112]
Generated Node #3: [131, 112] from Operation: 95+17=112
Current State: 19:[131, 112], Operations: ['63+68=131', '95+17=112']
Exploring Operation: 131-112=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
34,
71,
62,
16
] | 77 | [
"34+62=96",
"96/16=6",
"71+6=77"
] | Current State: 77:[34, 71, 62, 16], Operations: []
Exploring Operation: 34+62=96, Resulting Numbers: [71, 16, 96]
Generated Node #2: [71, 16, 96] from Operation: 34+62=96
Current State: 77:[71, 16, 96], Operations: ['34+62=96']
Exploring Operation: 96/16=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 96/16=6
Current State: 77:[71, 6], Operations: ['34+62=96', '96/16=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
8,
74,
78,
57
] | 94 | [
"78-57=21",
"8*21=168",
"168-74=94"
] | Current State: 94:[8, 74, 78, 57], Operations: []
Exploring Operation: 78-57=21, Resulting Numbers: [8, 74, 21]
Generated Node #2: [8, 74, 21] from Operation: 78-57=21
Current State: 94:[8, 74, 21], Operations: ['78-57=21']
Exploring Operation: 8*21=168, Resulting Numbers: [74, 168]
Generated Node #3: [74, 168] from Operation: 8*21=168
Current State: 94:[74, 168], Operations: ['78-57=21', '8*21=168']
Exploring Operation: 168-74=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
49,
42,
12,
8
] | 71 | [
"49+42=91",
"12+8=20",
"91-20=71"
] | Current State: 71:[49, 42, 12, 8], Operations: []
Exploring Operation: 49+42=91, Resulting Numbers: [12, 8, 91]
Generated Node #2: [12, 8, 91] from Operation: 49+42=91
Current State: 71:[12, 8, 91], Operations: ['49+42=91']
Exploring Operation: 12+8=20, Resulting Numbers: [91, 20]
Generated Node #3: [91, 20] from Operation: 12+8=20
Current State: 71:[91, 20], Operations: ['49+42=91', '12+8=20']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
5,
18,
54,
9
] | 10 | [
"5*54=270",
"18+9=27",
"270/27=10"
] | Current State: 10:[5, 18, 54, 9], Operations: []
Exploring Operation: 5*54=270, Resulting Numbers: [18, 9, 270]
Generated Node #2: [18, 9, 270] from Operation: 5*54=270
Current State: 10:[18, 9, 270], Operations: ['5*54=270']
Exploring Operation: 18+9=27, Resulting Numbers: [270, 27]
Generated Node #3: [270, 27] from Operation: 18+9=27
Current State: 10:[270, 27], Operations: ['5*54=270', '18+9=27']
Exploring Operation: 270/27=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
30,
24,
12,
96
] | 10 | [
"30*96=2880",
"24*12=288",
"2880/288=10"
] | Current State: 10:[30, 24, 12, 96], Operations: []
Exploring Operation: 30*96=2880, Resulting Numbers: [24, 12, 2880]
Generated Node #2: [24, 12, 2880] from Operation: 30*96=2880
Current State: 10:[24, 12, 2880], Operations: ['30*96=2880']
Exploring Operation: 24*12=288, Resulting Numbers: [2880, 288]
Generated Node #3: [2880, 288] from Operation: 24*12=288
Current State: 10:[2880, 288], Operations: ['30*96=2880', '24*12=288']
Exploring Operation: 2880/288=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
57,
94,
3,
30
] | 65 | [
"57+30=87",
"87/3=29",
"94-29=65"
] | Current State: 65:[57, 94, 3, 30], Operations: []
Exploring Operation: 57+30=87, Resulting Numbers: [94, 3, 87]
Generated Node #2: [94, 3, 87] from Operation: 57+30=87
Current State: 65:[94, 3, 87], Operations: ['57+30=87']
Exploring Operation: 87/3=29, Resulting Numbers: [94, 29]
Generated Node #3: [94, 29] from Operation: 87/3=29
Current State: 65:[94, 29], Operations: ['57+30=87', '87/3=29']
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
20,
37,
63,
40
] | 45 | [
"37+63=100",
"100/20=5",
"40+5=45"
] | Current State: 45:[20, 37, 63, 40], Operations: []
Exploring Operation: 37+63=100, Resulting Numbers: [20, 40, 100]
Generated Node #2: [20, 40, 100] from Operation: 37+63=100
Current State: 45:[20, 40, 100], Operations: ['37+63=100']
Exploring Operation: 100/20=5, Resulting Numbers: [40, 5]
Generated Node #3: [40, 5] from Operation: 100/20=5
Current State: 45:[40, 5], Operations: ['37+63=100', '100/20=5']
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
38,
88,
88,
3
] | 62 | [
"88-38=50",
"3*50=150",
"150-88=62"
] | Current State: 62:[38, 88, 88, 3], Operations: []
Exploring Operation: 88-38=50, Resulting Numbers: [3, 50]
Generated Node #2: [3, 50] from Operation: 88-38=50
Current State: 62:[3, 50], Operations: ['88-38=50']
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,62 equal: Goal Reached
Exploring Operation: 150-88=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
21,
29,
5,
18
] | 98 | [
"29-21=8",
"5*18=90",
"8+90=98"
] | Current State: 98:[21, 29, 5, 18], Operations: []
Exploring Operation: 29-21=8, Resulting Numbers: [5, 18, 8]
Generated Node #2: [5, 18, 8] from Operation: 29-21=8
Current State: 98:[5, 18, 8], Operations: ['29-21=8']
Exploring Operation: 5*18=90, Resulting Numbers: [8, 90]
Generated Node #3: [8, 90] from Operation: 5*18=90
Current State: 98:[8, 90], Operations: ['29-21=8', '5*18=90']
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
8,
67,
80,
45
] | 12 | [
"80/8=10",
"67-45=22",
"22-10=12"
] | Current State: 12:[8, 67, 80, 45], Operations: []
Exploring Operation: 80/8=10, Resulting Numbers: [67, 45, 10]
Generated Node #2: [67, 45, 10] from Operation: 80/8=10
Current State: 12:[67, 45, 10], Operations: ['80/8=10']
Exploring Operation: 67-45=22, Resulting Numbers: [10, 22]
Generated Node #3: [10, 22] from Operation: 67-45=22
Current State: 12:[10, 22], Operations: ['80/8=10', '67-45=22']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
31,
65,
9,
15
] | 39 | [
"31+65=96",
"9*15=135",
"135-96=39"
] | Current State: 39:[31, 65, 9, 15], Operations: []
Exploring Operation: 31+65=96, Resulting Numbers: [9, 15, 96]
Generated Node #2: [9, 15, 96] from Operation: 31+65=96
Current State: 39:[9, 15, 96], Operations: ['31+65=96']
Exploring Operation: 9*15=135, Resulting Numbers: [96, 135]
Generated Node #3: [96, 135] from Operation: 9*15=135
Current State: 39:[96, 135], Operations: ['31+65=96', '9*15=135']
Exploring Operation: 135-96=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
42,
16,
74,
95
] | 32 | [
"42*16=672",
"95-74=21",
"672/21=32"
] | Current State: 32:[42, 16, 74, 95], Operations: []
Exploring Operation: 42*16=672, Resulting Numbers: [74, 95, 672]
Generated Node #2: [74, 95, 672] from Operation: 42*16=672
Current State: 32:[74, 95, 672], Operations: ['42*16=672']
Exploring Operation: 95-74=21, Resulting Numbers: [672, 21]
Generated Node #3: [672, 21] from Operation: 95-74=21
Current State: 32:[672, 21], Operations: ['42*16=672', '95-74=21']
Exploring Operation: 672/21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
25,
13,
67,
26
] | 46 | [
"25+67=92",
"26/13=2",
"92/2=46"
] | Current State: 46:[25, 13, 67, 26], Operations: []
Exploring Operation: 25+67=92, Resulting Numbers: [13, 26, 92]
Generated Node #2: [13, 26, 92] from Operation: 25+67=92
Current State: 46:[13, 26, 92], Operations: ['25+67=92']
Exploring Operation: 26/13=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 26/13=2
Current State: 46:[92, 2], Operations: ['25+67=92', '26/13=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
67,
39,
15,
56
] | 30 | [
"67-39=28",
"15*56=840",
"840/28=30"
] | Current State: 30:[67, 39, 15, 56], Operations: []
Exploring Operation: 67-39=28, Resulting Numbers: [15, 56, 28]
Generated Node #2: [15, 56, 28] from Operation: 67-39=28
Current State: 30:[15, 56, 28], Operations: ['67-39=28']
Exploring Operation: 15*56=840, Resulting Numbers: [28, 840]
Generated Node #3: [28, 840] from Operation: 15*56=840
Current State: 30:[28, 840], Operations: ['67-39=28', '15*56=840']
Exploring Operation: 840/28=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
98,
32,
23,
16
] | 27 | [
"98-32=66",
"23+16=39",
"66-39=27"
] | Current State: 27:[98, 32, 23, 16], Operations: []
Exploring Operation: 98-32=66, Resulting Numbers: [23, 16, 66]
Generated Node #2: [23, 16, 66] from Operation: 98-32=66
Current State: 27:[23, 16, 66], Operations: ['98-32=66']
Exploring Operation: 23+16=39, Resulting Numbers: [66, 39]
Generated Node #3: [66, 39] from Operation: 23+16=39
Current State: 27:[66, 39], Operations: ['98-32=66', '23+16=39']
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
63,
81,
89,
84
] | 90 | [
"81-63=18",
"89-84=5",
"18*5=90"
] | Current State: 90:[63, 81, 89, 84], Operations: []
Exploring Operation: 81-63=18, Resulting Numbers: [89, 84, 18]
Generated Node #2: [89, 84, 18] from Operation: 81-63=18
Current State: 90:[89, 84, 18], Operations: ['81-63=18']
Exploring Operation: 89-84=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 89-84=5
Current State: 90:[18, 5], Operations: ['81-63=18', '89-84=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
47,
92,
20,
66
] | 92 | [
"47+20=67",
"67-66=1",
"92*1=92"
] | Current State: 92:[47, 92, 20, 66], Operations: []
Exploring Operation: 47+20=67, Resulting Numbers: [92, 66, 67]
Generated Node #2: [92, 66, 67] from Operation: 47+20=67
Current State: 92:[92, 66, 67], Operations: ['47+20=67']
Exploring Operation: 67-66=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 67-66=1
Current State: 92:[92, 1], Operations: ['47+20=67', '67-66=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
92,
26,
74,
78
] | 49 | [
"78-74=4",
"92/4=23",
"26+23=49"
] | Current State: 49:[92, 26, 74, 78], Operations: []
Exploring Operation: 78-74=4, Resulting Numbers: [92, 26, 4]
Generated Node #2: [92, 26, 4] from Operation: 78-74=4
Current State: 49:[92, 26, 4], Operations: ['78-74=4']
Exploring Operation: 92/4=23, Resulting Numbers: [26, 23]
Generated Node #3: [26, 23] from Operation: 92/4=23
Current State: 49:[26, 23], Operations: ['78-74=4', '92/4=23']
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
5,
39,
78,
83
] | 17 | [
"78/39=2",
"83+2=85",
"85/5=17"
] | Current State: 17:[5, 39, 78, 83], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [5, 83, 2]
Generated Node #2: [5, 83, 2] from Operation: 78/39=2
Current State: 17:[5, 83, 2], Operations: ['78/39=2']
Exploring Operation: 83+2=85, Resulting Numbers: [5, 85]
Generated Node #3: [5, 85] from Operation: 83+2=85
Current State: 17:[5, 85], Operations: ['78/39=2', '83+2=85']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
1,
20,
92,
9
] | 89 | [
"92-1=91",
"20*9=180",
"180-91=89"
] | Current State: 89:[1, 20, 92, 9], Operations: []
Exploring Operation: 92-1=91, Resulting Numbers: [20, 9, 91]
Generated Node #2: [20, 9, 91] from Operation: 92-1=91
Current State: 89:[20, 9, 91], Operations: ['92-1=91']
Exploring Operation: 20*9=180, Resulting Numbers: [91, 180]
Generated Node #3: [91, 180] from Operation: 20*9=180
Current State: 89:[91, 180], Operations: ['92-1=91', '20*9=180']
Exploring Operation: 180-91=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
83,
35,
7,
8
] | 47 | [
"83-35=48",
"8-7=1",
"48-1=47"
] | Current State: 47:[83, 35, 7, 8], Operations: []
Exploring Operation: 83-35=48, Resulting Numbers: [7, 8, 48]
Generated Node #2: [7, 8, 48] from Operation: 83-35=48
Current State: 47:[7, 8, 48], Operations: ['83-35=48']
Exploring Operation: 8-7=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 8-7=1
Current State: 47:[48, 1], Operations: ['83-35=48', '8-7=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
3,
67,
47,
49
] | 35 | [
"3+67=70",
"49-47=2",
"70/2=35"
] | Current State: 35:[3, 67, 47, 49], Operations: []
Exploring Operation: 3+67=70, Resulting Numbers: [47, 49, 70]
Generated Node #2: [47, 49, 70] from Operation: 3+67=70
Current State: 35:[47, 49, 70], Operations: ['3+67=70']
Exploring Operation: 49-47=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 49-47=2
Current State: 35:[70, 2], Operations: ['3+67=70', '49-47=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
90,
51,
25,
85
] | 29 | [
"90*51=4590",
"4590/85=54",
"54-25=29"
] | Current State: 29:[90, 51, 25, 85], Operations: []
Exploring Operation: 90*51=4590, Resulting Numbers: [25, 85, 4590]
Generated Node #2: [25, 85, 4590] from Operation: 90*51=4590
Current State: 29:[25, 85, 4590], Operations: ['90*51=4590']
Exploring Operation: 4590/85=54, Resulting Numbers: [25, 54]
Generated Node #3: [25, 54] from Operation: 4590/85=54
Current State: 29:[25, 54], Operations: ['90*51=4590', '4590/85=54']
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
97,
94,
55,
6
] | 58 | [
"97-94=3",
"55+6=61",
"61-3=58"
] | Current State: 58:[97, 94, 55, 6], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [55, 6, 3]
Generated Node #2: [55, 6, 3] from Operation: 97-94=3
Current State: 58:[55, 6, 3], Operations: ['97-94=3']
Exploring Operation: 55+6=61, Resulting Numbers: [3, 61]
Generated Node #3: [3, 61] from Operation: 55+6=61
Current State: 58:[3, 61], Operations: ['97-94=3', '55+6=61']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
1,
43,
32,
23
] | 12 | [
"1*43=43",
"32+23=55",
"55-43=12"
] | Current State: 12:[1, 43, 32, 23], Operations: []
Exploring Operation: 1*43=43, Resulting Numbers: [32, 23, 43]
Generated Node #2: [32, 23, 43] from Operation: 1*43=43
Current State: 12:[32, 23, 43], Operations: ['1*43=43']
Exploring Operation: 32+23=55, Resulting Numbers: [43, 55]
Generated Node #3: [43, 55] from Operation: 32+23=55
Current State: 12:[43, 55], Operations: ['1*43=43', '32+23=55']
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
21,
56,
46,
45
] | 77 | [
"21+56=77",
"46-45=1",
"77*1=77"
] | Current State: 77:[21, 56, 46, 45], Operations: []
Exploring Operation: 21+56=77, Resulting Numbers: [46, 45, 77]
Generated Node #2: [46, 45, 77] from Operation: 21+56=77
Current State: 77:[46, 45, 77], Operations: ['21+56=77']
Exploring Operation: 46-45=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 46-45=1
Current State: 77:[77, 1], Operations: ['21+56=77', '46-45=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
10,
12,
93,
3
] | 87 | [
"12-10=2",
"3*2=6",
"93-6=87"
] | Current State: 87:[10, 12, 93, 3], Operations: []
Exploring Operation: 12-10=2, Resulting Numbers: [93, 3, 2]
Generated Node #2: [93, 3, 2] from Operation: 12-10=2
Current State: 87:[93, 3, 2], Operations: ['12-10=2']
Exploring Operation: 3*2=6, Resulting Numbers: [93, 6]
Generated Node #3: [93, 6] from Operation: 3*2=6
Current State: 87:[93, 6], Operations: ['12-10=2', '3*2=6']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
86,
30,
26,
47
] | 20 | [
"86-47=39",
"30*26=780",
"780/39=20"
] | Current State: 20:[86, 30, 26, 47], Operations: []
Exploring Operation: 86-47=39, Resulting Numbers: [30, 26, 39]
Generated Node #2: [30, 26, 39] from Operation: 86-47=39
Current State: 20:[30, 26, 39], Operations: ['86-47=39']
Exploring Operation: 30*26=780, Resulting Numbers: [39, 780]
Generated Node #3: [39, 780] from Operation: 30*26=780
Current State: 20:[39, 780], Operations: ['86-47=39', '30*26=780']
Exploring Operation: 780/39=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
39,
13,
78,
18
] | 29 | [
"78/39=2",
"13+18=31",
"31-2=29"
] | Current State: 29:[39, 13, 78, 18], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [13, 18, 2]
Generated Node #2: [13, 18, 2] from Operation: 78/39=2
Current State: 29:[13, 18, 2], Operations: ['78/39=2']
Exploring Operation: 13+18=31, Resulting Numbers: [2, 31]
Generated Node #3: [2, 31] from Operation: 13+18=31
Current State: 29:[2, 31], Operations: ['78/39=2', '13+18=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
38,
34,
71,
19
] | 86 | [
"38-34=4",
"71+19=90",
"90-4=86"
] | Current State: 86:[38, 34, 71, 19], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [71, 19, 4]
Generated Node #2: [71, 19, 4] from Operation: 38-34=4
Current State: 86:[71, 19, 4], Operations: ['38-34=4']
Exploring Operation: 71+19=90, Resulting Numbers: [4, 90]
Generated Node #3: [4, 90] from Operation: 71+19=90
Current State: 86:[4, 90], Operations: ['38-34=4', '71+19=90']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
52,
6,
54,
52
] | 20 | [
"54-52=2",
"52/2=26",
"26-6=20"
] | Current State: 20:[52, 6, 54, 52], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [6, 2]
Generated Node #2: [6, 2] from Operation: 54-52=2
Current State: 20:[6, 2], Operations: ['54-52=2']
Exploring Operation: 52/2=26, Resulting Numbers: [6, 26]
Generated Node #3: [6, 26] from Operation: 52/2=26
Current State: 20:[6, 26], Operations: ['54-52=2', '52/2=26']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
29,
10,
7,
51
] | 46 | [
"10-7=3",
"51/3=17",
"29+17=46"
] | Current State: 46:[29, 10, 7, 51], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [29, 51, 3]
Generated Node #2: [29, 51, 3] from Operation: 10-7=3
Current State: 46:[29, 51, 3], Operations: ['10-7=3']
Exploring Operation: 51/3=17, Resulting Numbers: [29, 17]
Generated Node #3: [29, 17] from Operation: 51/3=17
Current State: 46:[29, 17], Operations: ['10-7=3', '51/3=17']
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
12,
48,
51,
48
] | 38 | [
"51-12=39",
"48/48=1",
"39-1=38"
] | Current State: 38:[12, 48, 51, 48], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [48, 48, 39]
Generated Node #2: [48, 48, 39] from Operation: 51-12=39
Current State: 38:[48, 48, 39], Operations: ['51-12=39']
Exploring Operation: 48/48=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 48/48=1
Current State: 38:[39, 1], Operations: ['51-12=39', '48/48=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
10,
35,
37,
21
] | 43 | [
"10*21=210",
"210/35=6",
"37+6=43"
] | Current State: 43:[10, 35, 37, 21], Operations: []
Exploring Operation: 10*21=210, Resulting Numbers: [35, 37, 210]
Generated Node #2: [35, 37, 210] from Operation: 10*21=210
Current State: 43:[35, 37, 210], Operations: ['10*21=210']
Exploring Operation: 210/35=6, Resulting Numbers: [37, 6]
Generated Node #3: [37, 6] from Operation: 210/35=6
Current State: 43:[37, 6], Operations: ['10*21=210', '210/35=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
4,
74,
18,
1
] | 15 | [
"74-18=56",
"56/4=14",
"1+14=15"
] | Current State: 15:[4, 74, 18, 1], Operations: []
Exploring Operation: 74-18=56, Resulting Numbers: [4, 1, 56]
Generated Node #2: [4, 1, 56] from Operation: 74-18=56
Current State: 15:[4, 1, 56], Operations: ['74-18=56']
Exploring Operation: 56/4=14, Resulting Numbers: [1, 14]
Generated Node #3: [1, 14] from Operation: 56/4=14
Current State: 15:[1, 14], Operations: ['74-18=56', '56/4=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
46,
36,
92,
4
] | 52 | [
"46-36=10",
"4*10=40",
"92-40=52"
] | Current State: 52:[46, 36, 92, 4], Operations: []
Exploring Operation: 46-36=10, Resulting Numbers: [92, 4, 10]
Generated Node #2: [92, 4, 10] from Operation: 46-36=10
Current State: 52:[92, 4, 10], Operations: ['46-36=10']
Exploring Operation: 4*10=40, Resulting Numbers: [92, 40]
Generated Node #3: [92, 40] from Operation: 4*10=40
Current State: 52:[92, 40], Operations: ['46-36=10', '4*10=40']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
26,
91,
12,
52
] | 67 | [
"52/26=2",
"12*2=24",
"91-24=67"
] | Current State: 67:[26, 91, 12, 52], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [91, 12, 2]
Generated Node #2: [91, 12, 2] from Operation: 52/26=2
Current State: 67:[91, 12, 2], Operations: ['52/26=2']
Exploring Operation: 12*2=24, Resulting Numbers: [91, 24]
Generated Node #3: [91, 24] from Operation: 12*2=24
Current State: 67:[91, 24], Operations: ['52/26=2', '12*2=24']
Exploring Operation: 91-24=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
57,
7,
84,
60
] | 74 | [
"57-7=50",
"84-60=24",
"50+24=74"
] | Current State: 74:[57, 7, 84, 60], Operations: []
Exploring Operation: 57-7=50, Resulting Numbers: [84, 60, 50]
Generated Node #2: [84, 60, 50] from Operation: 57-7=50
Current State: 74:[84, 60, 50], Operations: ['57-7=50']
Exploring Operation: 84-60=24, Resulting Numbers: [50, 24]
Generated Node #3: [50, 24] from Operation: 84-60=24
Current State: 74:[50, 24], Operations: ['57-7=50', '84-60=24']
Exploring Operation: 50+24=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
36,
43,
59,
15
] | 67 | [
"43-36=7",
"59+15=74",
"74-7=67"
] | Current State: 67:[36, 43, 59, 15], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [59, 15, 7]
Generated Node #2: [59, 15, 7] from Operation: 43-36=7
Current State: 67:[59, 15, 7], Operations: ['43-36=7']
Exploring Operation: 59+15=74, Resulting Numbers: [7, 74]
Generated Node #3: [7, 74] from Operation: 59+15=74
Current State: 67:[7, 74], Operations: ['43-36=7', '59+15=74']
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
14,
57,
38,
14
] | 96 | [
"14/14=1",
"57+38=95",
"1+95=96"
] | Current State: 96:[14, 57, 38, 14], Operations: []
Exploring Operation: 14/14=1, Resulting Numbers: [57, 38, 1]
Generated Node #2: [57, 38, 1] from Operation: 14/14=1
Current State: 96:[57, 38, 1], Operations: ['14/14=1']
Exploring Operation: 57+38=95, Resulting Numbers: [1, 95]
Generated Node #3: [1, 95] from Operation: 57+38=95
Current State: 96:[1, 95], Operations: ['14/14=1', '57+38=95']
Exploring Operation: 1+95=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
36,
71,
7,
16
] | 44 | [
"71-36=35",
"16-7=9",
"35+9=44"
] | Current State: 44:[36, 71, 7, 16], Operations: []
Exploring Operation: 71-36=35, Resulting Numbers: [7, 16, 35]
Generated Node #2: [7, 16, 35] from Operation: 71-36=35
Current State: 44:[7, 16, 35], Operations: ['71-36=35']
Exploring Operation: 16-7=9, Resulting Numbers: [35, 9]
Generated Node #3: [35, 9] from Operation: 16-7=9
Current State: 44:[35, 9], Operations: ['71-36=35', '16-7=9']
Exploring Operation: 35+9=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
75,
8,
41,
47
] | 27 | [
"47-41=6",
"8*6=48",
"75-48=27"
] | Current State: 27:[75, 8, 41, 47], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [75, 8, 6]
Generated Node #2: [75, 8, 6] from Operation: 47-41=6
Current State: 27:[75, 8, 6], Operations: ['47-41=6']
Exploring Operation: 8*6=48, Resulting Numbers: [75, 48]
Generated Node #3: [75, 48] from Operation: 8*6=48
Current State: 27:[75, 48], Operations: ['47-41=6', '8*6=48']
Exploring Operation: 75-48=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
6,
70,
11,
83
] | 69 | [
"11-6=5",
"70/5=14",
"83-14=69"
] | Current State: 69:[6, 70, 11, 83], Operations: []
Exploring Operation: 11-6=5, Resulting Numbers: [70, 83, 5]
Generated Node #2: [70, 83, 5] from Operation: 11-6=5
Current State: 69:[70, 83, 5], Operations: ['11-6=5']
Exploring Operation: 70/5=14, Resulting Numbers: [83, 14]
Generated Node #3: [83, 14] from Operation: 70/5=14
Current State: 69:[83, 14], Operations: ['11-6=5', '70/5=14']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
92,
9,
80,
66
] | 97 | [
"92-9=83",
"80-66=14",
"83+14=97"
] | Current State: 97:[92, 9, 80, 66], Operations: []
Exploring Operation: 92-9=83, Resulting Numbers: [80, 66, 83]
Generated Node #2: [80, 66, 83] from Operation: 92-9=83
Current State: 97:[80, 66, 83], Operations: ['92-9=83']
Exploring Operation: 80-66=14, Resulting Numbers: [83, 14]
Generated Node #3: [83, 14] from Operation: 80-66=14
Current State: 97:[83, 14], Operations: ['92-9=83', '80-66=14']
Exploring Operation: 83+14=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
24,
47,
7,
73
] | 48 | [
"24*7=168",
"47+73=120",
"168-120=48"
] | Current State: 48:[24, 47, 7, 73], Operations: []
Exploring Operation: 24*7=168, Resulting Numbers: [47, 73, 168]
Generated Node #2: [47, 73, 168] from Operation: 24*7=168
Current State: 48:[47, 73, 168], Operations: ['24*7=168']
Exploring Operation: 47+73=120, Resulting Numbers: [168, 120]
Generated Node #3: [168, 120] from Operation: 47+73=120
Current State: 48:[168, 120], Operations: ['24*7=168', '47+73=120']
Exploring Operation: 168-120=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
33,
24,
23,
23
] | 58 | [
"33+24=57",
"23/23=1",
"57+1=58"
] | Current State: 58:[33, 24, 23, 23], Operations: []
Exploring Operation: 33+24=57, Resulting Numbers: [23, 23, 57]
Generated Node #2: [23, 23, 57] from Operation: 33+24=57
Current State: 58:[23, 23, 57], Operations: ['33+24=57']
Exploring Operation: 23/23=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 23/23=1
Current State: 58:[57, 1], Operations: ['33+24=57', '23/23=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
6,
48,
35,
43
] | 34 | [
"48-6=42",
"43-35=8",
"42-8=34"
] | Current State: 34:[6, 48, 35, 43], Operations: []
Exploring Operation: 48-6=42, Resulting Numbers: [35, 43, 42]
Generated Node #2: [35, 43, 42] from Operation: 48-6=42
Current State: 34:[35, 43, 42], Operations: ['48-6=42']
Exploring Operation: 43-35=8, Resulting Numbers: [42, 8]
Generated Node #3: [42, 8] from Operation: 43-35=8
Current State: 34:[42, 8], Operations: ['48-6=42', '43-35=8']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
85,
82,
19,
20
] | 41 | [
"85-82=3",
"20*3=60",
"60-19=41"
] | Current State: 41:[85, 82, 19, 20], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [19, 20, 3]
Generated Node #2: [19, 20, 3] from Operation: 85-82=3
Current State: 41:[19, 20, 3], Operations: ['85-82=3']
Exploring Operation: 20*3=60, Resulting Numbers: [19, 60]
Generated Node #3: [19, 60] from Operation: 20*3=60
Current State: 41:[19, 60], Operations: ['85-82=3', '20*3=60']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
64,
33,
90,
90
] | 83 | [
"64+33=97",
"90+90=180",
"180-97=83"
] | Current State: 83:[64, 33, 90, 90], Operations: []
Exploring Operation: 64+33=97, Resulting Numbers: [90, 90, 97]
Generated Node #2: [90, 90, 97] from Operation: 64+33=97
Current State: 83:[90, 90, 97], Operations: ['64+33=97']
Exploring Operation: 90+90=180, Resulting Numbers: [97, 180]
Generated Node #3: [97, 180] from Operation: 90+90=180
Current State: 83:[97, 180], Operations: ['64+33=97', '90+90=180']
Exploring Operation: 180-97=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
93,
12,
14,
28
] | 79 | [
"93-12=81",
"28/14=2",
"81-2=79"
] | Current State: 79:[93, 12, 14, 28], Operations: []
Exploring Operation: 93-12=81, Resulting Numbers: [14, 28, 81]
Generated Node #2: [14, 28, 81] from Operation: 93-12=81
Current State: 79:[14, 28, 81], Operations: ['93-12=81']
Exploring Operation: 28/14=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 28/14=2
Current State: 79:[81, 2], Operations: ['93-12=81', '28/14=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
9,
47,
42,
44
] | 99 | [
"42-9=33",
"47-44=3",
"33*3=99"
] | Current State: 99:[9, 47, 42, 44], Operations: []
Exploring Operation: 42-9=33, Resulting Numbers: [47, 44, 33]
Generated Node #2: [47, 44, 33] from Operation: 42-9=33
Current State: 99:[47, 44, 33], Operations: ['42-9=33']
Exploring Operation: 47-44=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 47-44=3
Current State: 99:[33, 3], Operations: ['42-9=33', '47-44=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
9,
28,
12,
44
] | 54 | [
"28+44=72",
"9*72=648",
"648/12=54"
] | Current State: 54:[9, 28, 12, 44], Operations: []
Exploring Operation: 28+44=72, Resulting Numbers: [9, 12, 72]
Generated Node #2: [9, 12, 72] from Operation: 28+44=72
Current State: 54:[9, 12, 72], Operations: ['28+44=72']
Exploring Operation: 9*72=648, Resulting Numbers: [12, 648]
Generated Node #3: [12, 648] from Operation: 9*72=648
Current State: 54:[12, 648], Operations: ['28+44=72', '9*72=648']
Exploring Operation: 648/12=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
12,
58,
19,
10
] | 81 | [
"12*10=120",
"58-19=39",
"120-39=81"
] | Current State: 81:[12, 58, 19, 10], Operations: []
Exploring Operation: 12*10=120, Resulting Numbers: [58, 19, 120]
Generated Node #2: [58, 19, 120] from Operation: 12*10=120
Current State: 81:[58, 19, 120], Operations: ['12*10=120']
Exploring Operation: 58-19=39, Resulting Numbers: [120, 39]
Generated Node #3: [120, 39] from Operation: 58-19=39
Current State: 81:[120, 39], Operations: ['12*10=120', '58-19=39']
Exploring Operation: 120-39=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
36,
60,
52,
13
] | 20 | [
"60-36=24",
"52/13=4",
"24-4=20"
] | Current State: 20:[36, 60, 52, 13], Operations: []
Exploring Operation: 60-36=24, Resulting Numbers: [52, 13, 24]
Generated Node #2: [52, 13, 24] from Operation: 60-36=24
Current State: 20:[52, 13, 24], Operations: ['60-36=24']
Exploring Operation: 52/13=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 52/13=4
Current State: 20:[24, 4], Operations: ['60-36=24', '52/13=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
96,
87,
21,
30
] | 60 | [
"96-87=9",
"21+30=51",
"9+51=60"
] | Current State: 60:[96, 87, 21, 30], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [21, 30, 9]
Generated Node #2: [21, 30, 9] from Operation: 96-87=9
Current State: 60:[21, 30, 9], Operations: ['96-87=9']
Exploring Operation: 21+30=51, Resulting Numbers: [9, 51]
Generated Node #3: [9, 51] from Operation: 21+30=51
Current State: 60:[9, 51], Operations: ['96-87=9', '21+30=51']
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
81,
10,
3,
4
] | 25 | [
"81-10=71",
"4+71=75",
"75/3=25"
] | Current State: 25:[81, 10, 3, 4], Operations: []
Exploring Operation: 81-10=71, Resulting Numbers: [3, 4, 71]
Generated Node #2: [3, 4, 71] from Operation: 81-10=71
Current State: 25:[3, 4, 71], Operations: ['81-10=71']
Exploring Operation: 4+71=75, Resulting Numbers: [3, 75]
Generated Node #3: [3, 75] from Operation: 4+71=75
Current State: 25:[3, 75], Operations: ['81-10=71', '4+71=75']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
48,
48,
11,
4
] | 48 | [
"48/48=1",
"11+1=12",
"4*12=48"
] | Current State: 48:[48, 48, 11, 4], Operations: []
Exploring Operation: 48/48=1, Resulting Numbers: [11, 4, 1]
Generated Node #2: [11, 4, 1] from Operation: 48/48=1
Current State: 48:[11, 4, 1], Operations: ['48/48=1']
Exploring Operation: 11+1=12, Resulting Numbers: [4, 12]
Generated Node #3: [4, 12] from Operation: 11+1=12
Current State: 48:[4, 12], Operations: ['48/48=1', '11+1=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
45,
29,
96,
80
] | 91 | [
"45-29=16",
"80/16=5",
"96-5=91"
] | Current State: 91:[45, 29, 96, 80], Operations: []
Exploring Operation: 45-29=16, Resulting Numbers: [96, 80, 16]
Generated Node #2: [96, 80, 16] from Operation: 45-29=16
Current State: 91:[96, 80, 16], Operations: ['45-29=16']
Exploring Operation: 80/16=5, Resulting Numbers: [96, 5]
Generated Node #3: [96, 5] from Operation: 80/16=5
Current State: 91:[96, 5], Operations: ['45-29=16', '80/16=5']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
79,
10,
83,
84
] | 90 | [
"79+10=89",
"84-83=1",
"89+1=90"
] | Current State: 90:[79, 10, 83, 84], Operations: []
Exploring Operation: 79+10=89, Resulting Numbers: [83, 84, 89]
Generated Node #2: [83, 84, 89] from Operation: 79+10=89
Current State: 90:[83, 84, 89], Operations: ['79+10=89']
Exploring Operation: 84-83=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 84-83=1
Current State: 90:[89, 1], Operations: ['79+10=89', '84-83=1']
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
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