nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
25,
50,
76,
19
] | 100 | [
"50-25=25",
"76/19=4",
"25*4=100"
] | Current State: 100:[25, 50, 76, 19], Operations: []
Exploring Operation: 50-25=25, Resulting Numbers: [76, 19, 25]
Generated Node #2: [76, 19, 25] from Operation: 50-25=25
Current State: 100:[76, 19, 25], Operations: ['50-25=25']
Exploring Operation: 76/19=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 76/19=4
Current State: 100:[25, 4], Operations: ['50-25=25', '76/19=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
36,
62,
33,
30
] | 96 | [
"36-33=3",
"62-30=32",
"3*32=96"
] | Current State: 96:[36, 62, 33, 30], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [62, 30, 3]
Generated Node #2: [62, 30, 3] from Operation: 36-33=3
Current State: 96:[62, 30, 3], Operations: ['36-33=3']
Exploring Operation: 62-30=32, Resulting Numbers: [3, 32]
Generated Node #3: [3, 32] from Operation: 62-30=32
Current State: 96:[3, 32], Operations: ['36-33=3', '62-30=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
36,
70,
71,
28
] | 14 | [
"71-36=35",
"70/35=2",
"28/2=14"
] | Current State: 14:[36, 70, 71, 28], Operations: []
Exploring Operation: 71-36=35, Resulting Numbers: [70, 28, 35]
Generated Node #2: [70, 28, 35] from Operation: 71-36=35
Current State: 14:[70, 28, 35], Operations: ['71-36=35']
Exploring Operation: 70/35=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 70/35=2
Current State: 14:[28, 2], Operations: ['71-36=35', '70/35=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
31,
3,
40,
10
] | 84 | [
"31+3=34",
"40+10=50",
"34+50=84"
] | Current State: 84:[31, 3, 40, 10], Operations: []
Exploring Operation: 31+3=34, Resulting Numbers: [40, 10, 34]
Generated Node #2: [40, 10, 34] from Operation: 31+3=34
Current State: 84:[40, 10, 34], Operations: ['31+3=34']
Exploring Operation: 40+10=50, Resulting Numbers: [34, 50]
Generated Node #3: [34, 50] from Operation: 40+10=50
Current State: 84:[34, 50], Operations: ['31+3=34', '40+10=50']
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
87,
39,
83,
76
] | 20 | [
"87-83=4",
"76/4=19",
"39-19=20"
] | Current State: 20:[87, 39, 83, 76], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [39, 76, 4]
Generated Node #2: [39, 76, 4] from Operation: 87-83=4
Current State: 20:[39, 76, 4], Operations: ['87-83=4']
Exploring Operation: 76/4=19, Resulting Numbers: [39, 19]
Generated Node #3: [39, 19] from Operation: 76/4=19
Current State: 20:[39, 19], Operations: ['87-83=4', '76/4=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
39,
28,
78,
39
] | 50 | [
"39+28=67",
"78+39=117",
"117-67=50"
] | Current State: 50:[39, 28, 78, 39], Operations: []
Exploring Operation: 39+28=67, Resulting Numbers: [78, 67]
Generated Node #2: [78, 67] from Operation: 39+28=67
Current State: 50:[78, 67], Operations: ['39+28=67']
Exploring Operation: 78+39=117, Resulting Numbers: [67, 117]
Generated Node #3: [67, 117] from Operation: 78+39=117
Current State: 50:[67, 117], Operations: ['39+28=67', '78+39=117']
Exploring Operation: 117-67=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
38,
43,
1,
94
] | 98 | [
"43-38=5",
"94-1=93",
"5+93=98"
] | Current State: 98:[38, 43, 1, 94], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [1, 94, 5]
Generated Node #2: [1, 94, 5] from Operation: 43-38=5
Current State: 98:[1, 94, 5], Operations: ['43-38=5']
Exploring Operation: 94-1=93, Resulting Numbers: [5, 93]
Generated Node #3: [5, 93] from Operation: 94-1=93
Current State: 98:[5, 93], Operations: ['43-38=5', '94-1=93']
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
4,
16,
95,
28
] | 98 | [
"28-16=12",
"12/4=3",
"95+3=98"
] | Current State: 98:[4, 16, 95, 28], Operations: []
Exploring Operation: 28-16=12, Resulting Numbers: [4, 95, 12]
Generated Node #2: [4, 95, 12] from Operation: 28-16=12
Current State: 98:[4, 95, 12], Operations: ['28-16=12']
Exploring Operation: 12/4=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 12/4=3
Current State: 98:[95, 3], Operations: ['28-16=12', '12/4=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
60,
9,
46,
9
] | 13 | [
"60-46=14",
"9/9=1",
"14-1=13"
] | Current State: 13:[60, 9, 46, 9], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [9, 9, 14]
Generated Node #2: [9, 9, 14] from Operation: 60-46=14
Current State: 13:[9, 9, 14], Operations: ['60-46=14']
Exploring Operation: 9/9=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 9/9=1
Current State: 13:[14, 1], Operations: ['60-46=14', '9/9=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
7,
33,
74,
20
] | 54 | [
"7+33=40",
"74+20=94",
"94-40=54"
] | Current State: 54:[7, 33, 74, 20], Operations: []
Exploring Operation: 7+33=40, Resulting Numbers: [74, 20, 40]
Generated Node #2: [74, 20, 40] from Operation: 7+33=40
Current State: 54:[74, 20, 40], Operations: ['7+33=40']
Exploring Operation: 74+20=94, Resulting Numbers: [40, 94]
Generated Node #3: [40, 94] from Operation: 74+20=94
Current State: 54:[40, 94], Operations: ['7+33=40', '74+20=94']
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
15,
6,
9,
44
] | 62 | [
"15-6=9",
"9+44=53",
"9+53=62"
] | Current State: 62:[15, 6, 9, 44], Operations: []
Exploring Operation: 15-6=9, Resulting Numbers: [9, 44, 9]
Generated Node #2: [9, 44, 9] from Operation: 15-6=9
Current State: 62:[9, 44, 9], Operations: ['15-6=9']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,62 equal: Goal Reached
Exploring Operation: 9+53=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
2,
59,
88,
32
] | 87 | [
"88-32=56",
"56/2=28",
"59+28=87"
] | Current State: 87:[2, 59, 88, 32], Operations: []
Exploring Operation: 88-32=56, Resulting Numbers: [2, 59, 56]
Generated Node #2: [2, 59, 56] from Operation: 88-32=56
Current State: 87:[2, 59, 56], Operations: ['88-32=56']
Exploring Operation: 56/2=28, Resulting Numbers: [59, 28]
Generated Node #3: [59, 28] from Operation: 56/2=28
Current State: 87:[59, 28], Operations: ['88-32=56', '56/2=28']
Exploring Operation: 59+28=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
26,
8,
4,
68
] | 69 | [
"26*8=208",
"68+208=276",
"276/4=69"
] | Current State: 69:[26, 8, 4, 68], Operations: []
Exploring Operation: 26*8=208, Resulting Numbers: [4, 68, 208]
Generated Node #2: [4, 68, 208] from Operation: 26*8=208
Current State: 69:[4, 68, 208], Operations: ['26*8=208']
Exploring Operation: 68+208=276, Resulting Numbers: [4, 276]
Generated Node #3: [4, 276] from Operation: 68+208=276
Current State: 69:[4, 276], Operations: ['26*8=208', '68+208=276']
Exploring Operation: 276/4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
57,
12,
17,
1
] | 63 | [
"57-12=45",
"17+1=18",
"45+18=63"
] | Current State: 63:[57, 12, 17, 1], Operations: []
Exploring Operation: 57-12=45, Resulting Numbers: [17, 1, 45]
Generated Node #2: [17, 1, 45] from Operation: 57-12=45
Current State: 63:[17, 1, 45], Operations: ['57-12=45']
Exploring Operation: 17+1=18, Resulting Numbers: [45, 18]
Generated Node #3: [45, 18] from Operation: 17+1=18
Current State: 63:[45, 18], Operations: ['57-12=45', '17+1=18']
Exploring Operation: 45+18=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
5,
9,
73,
1
] | 58 | [
"5+9=14",
"73-1=72",
"72-14=58"
] | Current State: 58:[5, 9, 73, 1], Operations: []
Exploring Operation: 5+9=14, Resulting Numbers: [73, 1, 14]
Generated Node #2: [73, 1, 14] from Operation: 5+9=14
Current State: 58:[73, 1, 14], Operations: ['5+9=14']
Exploring Operation: 73-1=72, Resulting Numbers: [14, 72]
Generated Node #3: [14, 72] from Operation: 73-1=72
Current State: 58:[14, 72], Operations: ['5+9=14', '73-1=72']
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
3,
2,
50,
97
] | 44 | [
"3*50=150",
"2*97=194",
"194-150=44"
] | Current State: 44:[3, 2, 50, 97], Operations: []
Exploring Operation: 3*50=150, Resulting Numbers: [2, 97, 150]
Generated Node #2: [2, 97, 150] from Operation: 3*50=150
Current State: 44:[2, 97, 150], Operations: ['3*50=150']
Exploring Operation: 2*97=194, Resulting Numbers: [150, 194]
Generated Node #3: [150, 194] from Operation: 2*97=194
Current State: 44:[150, 194], Operations: ['3*50=150', '2*97=194']
Exploring Operation: 194-150=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
16,
11,
52,
42
] | 67 | [
"16+11=27",
"52+42=94",
"94-27=67"
] | Current State: 67:[16, 11, 52, 42], Operations: []
Exploring Operation: 16+11=27, Resulting Numbers: [52, 42, 27]
Generated Node #2: [52, 42, 27] from Operation: 16+11=27
Current State: 67:[52, 42, 27], Operations: ['16+11=27']
Exploring Operation: 52+42=94, Resulting Numbers: [27, 94]
Generated Node #3: [27, 94] from Operation: 52+42=94
Current State: 67:[27, 94], Operations: ['16+11=27', '52+42=94']
Exploring Operation: 94-27=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
84,
71,
15,
10
] | 65 | [
"84-71=13",
"15-10=5",
"13*5=65"
] | Current State: 65:[84, 71, 15, 10], Operations: []
Exploring Operation: 84-71=13, Resulting Numbers: [15, 10, 13]
Generated Node #2: [15, 10, 13] from Operation: 84-71=13
Current State: 65:[15, 10, 13], Operations: ['84-71=13']
Exploring Operation: 15-10=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 15-10=5
Current State: 65:[13, 5], Operations: ['84-71=13', '15-10=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
84,
20,
26,
32
] | 33 | [
"32-20=12",
"84/12=7",
"26+7=33"
] | Current State: 33:[84, 20, 26, 32], Operations: []
Exploring Operation: 32-20=12, Resulting Numbers: [84, 26, 12]
Generated Node #2: [84, 26, 12] from Operation: 32-20=12
Current State: 33:[84, 26, 12], Operations: ['32-20=12']
Exploring Operation: 84/12=7, Resulting Numbers: [26, 7]
Generated Node #3: [26, 7] from Operation: 84/12=7
Current State: 33:[26, 7], Operations: ['32-20=12', '84/12=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
49,
9,
39,
54
] | 16 | [
"49-39=10",
"54/9=6",
"10+6=16"
] | Current State: 16:[49, 9, 39, 54], Operations: []
Exploring Operation: 49-39=10, Resulting Numbers: [9, 54, 10]
Generated Node #2: [9, 54, 10] from Operation: 49-39=10
Current State: 16:[9, 54, 10], Operations: ['49-39=10']
Exploring Operation: 54/9=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 54/9=6
Current State: 16:[10, 6], Operations: ['49-39=10', '54/9=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
2,
94,
67,
1
] | 41 | [
"2*67=134",
"94-1=93",
"134-93=41"
] | Current State: 41:[2, 94, 67, 1], Operations: []
Exploring Operation: 2*67=134, Resulting Numbers: [94, 1, 134]
Generated Node #2: [94, 1, 134] from Operation: 2*67=134
Current State: 41:[94, 1, 134], Operations: ['2*67=134']
Exploring Operation: 94-1=93, Resulting Numbers: [134, 93]
Generated Node #3: [134, 93] from Operation: 94-1=93
Current State: 41:[134, 93], Operations: ['2*67=134', '94-1=93']
Exploring Operation: 134-93=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
77,
92,
25,
55
] | 33 | [
"92-77=15",
"55*15=825",
"825/25=33"
] | Current State: 33:[77, 92, 25, 55], Operations: []
Exploring Operation: 92-77=15, Resulting Numbers: [25, 55, 15]
Generated Node #2: [25, 55, 15] from Operation: 92-77=15
Current State: 33:[25, 55, 15], Operations: ['92-77=15']
Exploring Operation: 55*15=825, Resulting Numbers: [25, 825]
Generated Node #3: [25, 825] from Operation: 55*15=825
Current State: 33:[25, 825], Operations: ['92-77=15', '55*15=825']
Exploring Operation: 825/25=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
97,
6,
59,
81
] | 37 | [
"97+6=103",
"59+81=140",
"140-103=37"
] | Current State: 37:[97, 6, 59, 81], Operations: []
Exploring Operation: 97+6=103, Resulting Numbers: [59, 81, 103]
Generated Node #2: [59, 81, 103] from Operation: 97+6=103
Current State: 37:[59, 81, 103], Operations: ['97+6=103']
Exploring Operation: 59+81=140, Resulting Numbers: [103, 140]
Generated Node #3: [103, 140] from Operation: 59+81=140
Current State: 37:[103, 140], Operations: ['97+6=103', '59+81=140']
Exploring Operation: 140-103=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
95,
98,
44,
34
] | 81 | [
"98-95=3",
"44+34=78",
"3+78=81"
] | Current State: 81:[95, 98, 44, 34], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [44, 34, 3]
Generated Node #2: [44, 34, 3] from Operation: 98-95=3
Current State: 81:[44, 34, 3], Operations: ['98-95=3']
Exploring Operation: 44+34=78, Resulting Numbers: [3, 78]
Generated Node #3: [3, 78] from Operation: 44+34=78
Current State: 81:[3, 78], Operations: ['98-95=3', '44+34=78']
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
20,
58,
14,
28
] | 80 | [
"20+58=78",
"28/14=2",
"78+2=80"
] | Current State: 80:[20, 58, 14, 28], Operations: []
Exploring Operation: 20+58=78, Resulting Numbers: [14, 28, 78]
Generated Node #2: [14, 28, 78] from Operation: 20+58=78
Current State: 80:[14, 28, 78], Operations: ['20+58=78']
Exploring Operation: 28/14=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 28/14=2
Current State: 80:[78, 2], Operations: ['20+58=78', '28/14=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
96,
95,
47,
24
] | 26 | [
"95-47=48",
"96/48=2",
"24+2=26"
] | Current State: 26:[96, 95, 47, 24], Operations: []
Exploring Operation: 95-47=48, Resulting Numbers: [96, 24, 48]
Generated Node #2: [96, 24, 48] from Operation: 95-47=48
Current State: 26:[96, 24, 48], Operations: ['95-47=48']
Exploring Operation: 96/48=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 96/48=2
Current State: 26:[24, 2], Operations: ['95-47=48', '96/48=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
25,
27,
33,
54
] | 96 | [
"33-27=6",
"25*6=150",
"150-54=96"
] | Current State: 96:[25, 27, 33, 54], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [25, 54, 6]
Generated Node #2: [25, 54, 6] from Operation: 33-27=6
Current State: 96:[25, 54, 6], Operations: ['33-27=6']
Exploring Operation: 25*6=150, Resulting Numbers: [54, 150]
Generated Node #3: [54, 150] from Operation: 25*6=150
Current State: 96:[54, 150], Operations: ['33-27=6', '25*6=150']
Exploring Operation: 150-54=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
50,
62,
32,
2
] | 35 | [
"62-32=30",
"30/2=15",
"50-15=35"
] | Current State: 35:[50, 62, 32, 2], Operations: []
Exploring Operation: 62-32=30, Resulting Numbers: [50, 2, 30]
Generated Node #2: [50, 2, 30] from Operation: 62-32=30
Current State: 35:[50, 2, 30], Operations: ['62-32=30']
Exploring Operation: 30/2=15, Resulting Numbers: [50, 15]
Generated Node #3: [50, 15] from Operation: 30/2=15
Current State: 35:[50, 15], Operations: ['62-32=30', '30/2=15']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
25,
65,
44,
29
] | 55 | [
"65-25=40",
"44-29=15",
"40+15=55"
] | Current State: 55:[25, 65, 44, 29], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [44, 29, 40]
Generated Node #2: [44, 29, 40] from Operation: 65-25=40
Current State: 55:[44, 29, 40], Operations: ['65-25=40']
Exploring Operation: 44-29=15, Resulting Numbers: [40, 15]
Generated Node #3: [40, 15] from Operation: 44-29=15
Current State: 55:[40, 15], Operations: ['65-25=40', '44-29=15']
Exploring Operation: 40+15=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
45,
96,
61,
64
] | 58 | [
"61-45=16",
"96/16=6",
"64-6=58"
] | Current State: 58:[45, 96, 61, 64], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [96, 64, 16]
Generated Node #2: [96, 64, 16] from Operation: 61-45=16
Current State: 58:[96, 64, 16], Operations: ['61-45=16']
Exploring Operation: 96/16=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 96/16=6
Current State: 58:[64, 6], Operations: ['61-45=16', '96/16=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
17,
70,
64,
4
] | 69 | [
"70-17=53",
"64/4=16",
"53+16=69"
] | Current State: 69:[17, 70, 64, 4], Operations: []
Exploring Operation: 70-17=53, Resulting Numbers: [64, 4, 53]
Generated Node #2: [64, 4, 53] from Operation: 70-17=53
Current State: 69:[64, 4, 53], Operations: ['70-17=53']
Exploring Operation: 64/4=16, Resulting Numbers: [53, 16]
Generated Node #3: [53, 16] from Operation: 64/4=16
Current State: 69:[53, 16], Operations: ['70-17=53', '64/4=16']
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
59,
33,
89
] | 41 | [
"59+89=148",
"148/2=74",
"74-33=41"
] | Current State: 41:[2, 59, 33, 89], Operations: []
Exploring Operation: 59+89=148, Resulting Numbers: [2, 33, 148]
Generated Node #2: [2, 33, 148] from Operation: 59+89=148
Current State: 41:[2, 33, 148], Operations: ['59+89=148']
Exploring Operation: 148/2=74, Resulting Numbers: [33, 74]
Generated Node #3: [33, 74] from Operation: 148/2=74
Current State: 41:[33, 74], Operations: ['59+89=148', '148/2=74']
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
3,
6,
1,
52
] | 52 | [
"6/3=2",
"2-1=1",
"52*1=52"
] | Current State: 52:[3, 6, 1, 52], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [1, 52, 2]
Generated Node #2: [1, 52, 2] from Operation: 6/3=2
Current State: 52:[1, 52, 2], Operations: ['6/3=2']
Exploring Operation: 2-1=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 2-1=1
Current State: 52:[52, 1], Operations: ['6/3=2', '2-1=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
47,
51,
6,
27
] | 97 | [
"51-27=24",
"6*24=144",
"144-47=97"
] | Current State: 97:[47, 51, 6, 27], Operations: []
Exploring Operation: 51-27=24, Resulting Numbers: [47, 6, 24]
Generated Node #2: [47, 6, 24] from Operation: 51-27=24
Current State: 97:[47, 6, 24], Operations: ['51-27=24']
Exploring Operation: 6*24=144, Resulting Numbers: [47, 144]
Generated Node #3: [47, 144] from Operation: 6*24=144
Current State: 97:[47, 144], Operations: ['51-27=24', '6*24=144']
Exploring Operation: 144-47=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
10,
57,
53,
75
] | 69 | [
"57-10=47",
"75-53=22",
"47+22=69"
] | Current State: 69:[10, 57, 53, 75], Operations: []
Exploring Operation: 57-10=47, Resulting Numbers: [53, 75, 47]
Generated Node #2: [53, 75, 47] from Operation: 57-10=47
Current State: 69:[53, 75, 47], Operations: ['57-10=47']
Exploring Operation: 75-53=22, Resulting Numbers: [47, 22]
Generated Node #3: [47, 22] from Operation: 75-53=22
Current State: 69:[47, 22], Operations: ['57-10=47', '75-53=22']
Exploring Operation: 47+22=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
47,
31,
60
] | 66 | [
"47+31=78",
"78/13=6",
"60+6=66"
] | Current State: 66:[13, 47, 31, 60], Operations: []
Exploring Operation: 47+31=78, Resulting Numbers: [13, 60, 78]
Generated Node #2: [13, 60, 78] from Operation: 47+31=78
Current State: 66:[13, 60, 78], Operations: ['47+31=78']
Exploring Operation: 78/13=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 78/13=6
Current State: 66:[60, 6], Operations: ['47+31=78', '78/13=6']
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
23,
2,
82,
27
] | 57 | [
"23+27=50",
"50/2=25",
"82-25=57"
] | Current State: 57:[23, 2, 82, 27], Operations: []
Exploring Operation: 23+27=50, Resulting Numbers: [2, 82, 50]
Generated Node #2: [2, 82, 50] from Operation: 23+27=50
Current State: 57:[2, 82, 50], Operations: ['23+27=50']
Exploring Operation: 50/2=25, Resulting Numbers: [82, 25]
Generated Node #3: [82, 25] from Operation: 50/2=25
Current State: 57:[82, 25], Operations: ['23+27=50', '50/2=25']
Exploring Operation: 82-25=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
91,
24,
6,
2
] | 82 | [
"24-6=18",
"18/2=9",
"91-9=82"
] | Current State: 82:[91, 24, 6, 2], Operations: []
Exploring Operation: 24-6=18, Resulting Numbers: [91, 2, 18]
Generated Node #2: [91, 2, 18] from Operation: 24-6=18
Current State: 82:[91, 2, 18], Operations: ['24-6=18']
Exploring Operation: 18/2=9, Resulting Numbers: [91, 9]
Generated Node #3: [91, 9] from Operation: 18/2=9
Current State: 82:[91, 9], Operations: ['24-6=18', '18/2=9']
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
34,
41,
30,
20
] | 17 | [
"41-34=7",
"30-20=10",
"7+10=17"
] | Current State: 17:[34, 41, 30, 20], Operations: []
Exploring Operation: 41-34=7, Resulting Numbers: [30, 20, 7]
Generated Node #2: [30, 20, 7] from Operation: 41-34=7
Current State: 17:[30, 20, 7], Operations: ['41-34=7']
Exploring Operation: 30-20=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 30-20=10
Current State: 17:[7, 10], Operations: ['41-34=7', '30-20=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
49,
58,
39,
58
] | 11 | [
"49-39=10",
"58/58=1",
"10+1=11"
] | Current State: 11:[49, 58, 39, 58], Operations: []
Exploring Operation: 49-39=10, Resulting Numbers: [58, 58, 10]
Generated Node #2: [58, 58, 10] from Operation: 49-39=10
Current State: 11:[58, 58, 10], Operations: ['49-39=10']
Exploring Operation: 58/58=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 58/58=1
Current State: 11:[10, 1], Operations: ['49-39=10', '58/58=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
58,
11,
31,
5
] | 86 | [
"58+11=69",
"31*5=155",
"155-69=86"
] | Current State: 86:[58, 11, 31, 5], Operations: []
Exploring Operation: 58+11=69, Resulting Numbers: [31, 5, 69]
Generated Node #2: [31, 5, 69] from Operation: 58+11=69
Current State: 86:[31, 5, 69], Operations: ['58+11=69']
Exploring Operation: 31*5=155, Resulting Numbers: [69, 155]
Generated Node #3: [69, 155] from Operation: 31*5=155
Current State: 86:[69, 155], Operations: ['58+11=69', '31*5=155']
Exploring Operation: 155-69=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
95,
27,
98,
97
] | 68 | [
"95-27=68",
"98-97=1",
"68*1=68"
] | Current State: 68:[95, 27, 98, 97], Operations: []
Exploring Operation: 95-27=68, Resulting Numbers: [98, 97, 68]
Generated Node #2: [98, 97, 68] from Operation: 95-27=68
Current State: 68:[98, 97, 68], Operations: ['95-27=68']
Exploring Operation: 98-97=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 98-97=1
Current State: 68:[68, 1], Operations: ['95-27=68', '98-97=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
30,
10,
51,
42
] | 27 | [
"30/10=3",
"51-42=9",
"3*9=27"
] | Current State: 27:[30, 10, 51, 42], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [51, 42, 3]
Generated Node #2: [51, 42, 3] from Operation: 30/10=3
Current State: 27:[51, 42, 3], Operations: ['30/10=3']
Exploring Operation: 51-42=9, Resulting Numbers: [3, 9]
Generated Node #3: [3, 9] from Operation: 51-42=9
Current State: 27:[3, 9], Operations: ['30/10=3', '51-42=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
25,
61,
45,
4
] | 29 | [
"61-45=16",
"16/4=4",
"25+4=29"
] | Current State: 29:[25, 61, 45, 4], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [25, 4, 16]
Generated Node #2: [25, 4, 16] from Operation: 61-45=16
Current State: 29:[25, 4, 16], Operations: ['61-45=16']
Exploring Operation: 16/4=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 16/4=4
Current State: 29:[25, 4], Operations: ['61-45=16', '16/4=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
59,
25,
21,
19
] | 17 | [
"59-25=34",
"21-19=2",
"34/2=17"
] | Current State: 17:[59, 25, 21, 19], Operations: []
Exploring Operation: 59-25=34, Resulting Numbers: [21, 19, 34]
Generated Node #2: [21, 19, 34] from Operation: 59-25=34
Current State: 17:[21, 19, 34], Operations: ['59-25=34']
Exploring Operation: 21-19=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 21-19=2
Current State: 17:[34, 2], Operations: ['59-25=34', '21-19=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
30,
29,
40,
4
] | 15 | [
"30+29=59",
"40+4=44",
"59-44=15"
] | Current State: 15:[30, 29, 40, 4], Operations: []
Exploring Operation: 30+29=59, Resulting Numbers: [40, 4, 59]
Generated Node #2: [40, 4, 59] from Operation: 30+29=59
Current State: 15:[40, 4, 59], Operations: ['30+29=59']
Exploring Operation: 40+4=44, Resulting Numbers: [59, 44]
Generated Node #3: [59, 44] from Operation: 40+4=44
Current State: 15:[59, 44], Operations: ['30+29=59', '40+4=44']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
81,
33,
90,
63
] | 78 | [
"63-33=30",
"90/30=3",
"81-3=78"
] | Current State: 78:[81, 33, 90, 63], Operations: []
Exploring Operation: 63-33=30, Resulting Numbers: [81, 90, 30]
Generated Node #2: [81, 90, 30] from Operation: 63-33=30
Current State: 78:[81, 90, 30], Operations: ['63-33=30']
Exploring Operation: 90/30=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 90/30=3
Current State: 78:[81, 3], Operations: ['63-33=30', '90/30=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
36,
12,
99,
9
] | 27 | [
"36+99=135",
"12*9=108",
"135-108=27"
] | Current State: 27:[36, 12, 99, 9], Operations: []
Exploring Operation: 36+99=135, Resulting Numbers: [12, 9, 135]
Generated Node #2: [12, 9, 135] from Operation: 36+99=135
Current State: 27:[12, 9, 135], Operations: ['36+99=135']
Exploring Operation: 12*9=108, Resulting Numbers: [135, 108]
Generated Node #3: [135, 108] from Operation: 12*9=108
Current State: 27:[135, 108], Operations: ['36+99=135', '12*9=108']
Exploring Operation: 135-108=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
48,
9,
2,
24
] | 54 | [
"48-9=39",
"2*39=78",
"78-24=54"
] | Current State: 54:[48, 9, 2, 24], Operations: []
Exploring Operation: 48-9=39, Resulting Numbers: [2, 24, 39]
Generated Node #2: [2, 24, 39] from Operation: 48-9=39
Current State: 54:[2, 24, 39], Operations: ['48-9=39']
Exploring Operation: 2*39=78, Resulting Numbers: [24, 78]
Generated Node #3: [24, 78] from Operation: 2*39=78
Current State: 54:[24, 78], Operations: ['48-9=39', '2*39=78']
Exploring Operation: 78-24=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
43,
58,
4,
80
] | 90 | [
"80-43=37",
"4*37=148",
"148-58=90"
] | Current State: 90:[43, 58, 4, 80], Operations: []
Exploring Operation: 80-43=37, Resulting Numbers: [58, 4, 37]
Generated Node #2: [58, 4, 37] from Operation: 80-43=37
Current State: 90:[58, 4, 37], Operations: ['80-43=37']
Exploring Operation: 4*37=148, Resulting Numbers: [58, 148]
Generated Node #3: [58, 148] from Operation: 4*37=148
Current State: 90:[58, 148], Operations: ['80-43=37', '4*37=148']
Exploring Operation: 148-58=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
45,
99,
36,
70
] | 73 | [
"99+36=135",
"135/45=3",
"70+3=73"
] | Current State: 73:[45, 99, 36, 70], Operations: []
Exploring Operation: 99+36=135, Resulting Numbers: [45, 70, 135]
Generated Node #2: [45, 70, 135] from Operation: 99+36=135
Current State: 73:[45, 70, 135], Operations: ['99+36=135']
Exploring Operation: 135/45=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 135/45=3
Current State: 73:[70, 3], Operations: ['99+36=135', '135/45=3']
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
15,
36,
90,
13
] | 29 | [
"90/15=6",
"36-13=23",
"6+23=29"
] | Current State: 29:[15, 36, 90, 13], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [36, 13, 6]
Generated Node #2: [36, 13, 6] from Operation: 90/15=6
Current State: 29:[36, 13, 6], Operations: ['90/15=6']
Exploring Operation: 36-13=23, Resulting Numbers: [6, 23]
Generated Node #3: [6, 23] from Operation: 36-13=23
Current State: 29:[6, 23], Operations: ['90/15=6', '36-13=23']
Exploring Operation: 6+23=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
33,
34,
35,
55
] | 89 | [
"34-33=1",
"35+55=90",
"90-1=89"
] | Current State: 89:[33, 34, 35, 55], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [35, 55, 1]
Generated Node #2: [35, 55, 1] from Operation: 34-33=1
Current State: 89:[35, 55, 1], Operations: ['34-33=1']
Exploring Operation: 35+55=90, Resulting Numbers: [1, 90]
Generated Node #3: [1, 90] from Operation: 35+55=90
Current State: 89:[1, 90], Operations: ['34-33=1', '35+55=90']
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
60,
40,
52,
55
] | 13 | [
"55-40=15",
"60/15=4",
"52/4=13"
] | Current State: 13:[60, 40, 52, 55], Operations: []
Exploring Operation: 55-40=15, Resulting Numbers: [60, 52, 15]
Generated Node #2: [60, 52, 15] from Operation: 55-40=15
Current State: 13:[60, 52, 15], Operations: ['55-40=15']
Exploring Operation: 60/15=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 60/15=4
Current State: 13:[52, 4], Operations: ['55-40=15', '60/15=4']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
15,
40,
7,
99
] | 81 | [
"40-15=25",
"7+99=106",
"106-25=81"
] | Current State: 81:[15, 40, 7, 99], Operations: []
Exploring Operation: 40-15=25, Resulting Numbers: [7, 99, 25]
Generated Node #2: [7, 99, 25] from Operation: 40-15=25
Current State: 81:[7, 99, 25], Operations: ['40-15=25']
Exploring Operation: 7+99=106, Resulting Numbers: [25, 106]
Generated Node #3: [25, 106] from Operation: 7+99=106
Current State: 81:[25, 106], Operations: ['40-15=25', '7+99=106']
Exploring Operation: 106-25=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
77,
75,
83,
4
] | 35 | [
"77+83=160",
"160/4=40",
"75-40=35"
] | Current State: 35:[77, 75, 83, 4], Operations: []
Exploring Operation: 77+83=160, Resulting Numbers: [75, 4, 160]
Generated Node #2: [75, 4, 160] from Operation: 77+83=160
Current State: 35:[75, 4, 160], Operations: ['77+83=160']
Exploring Operation: 160/4=40, Resulting Numbers: [75, 40]
Generated Node #3: [75, 40] from Operation: 160/4=40
Current State: 35:[75, 40], Operations: ['77+83=160', '160/4=40']
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
24,
3,
33,
57
] | 60 | [
"33-24=9",
"9/3=3",
"57+3=60"
] | Current State: 60:[24, 3, 33, 57], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [3, 57, 9]
Generated Node #2: [3, 57, 9] from Operation: 33-24=9
Current State: 60:[3, 57, 9], Operations: ['33-24=9']
Exploring Operation: 9/3=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 9/3=3
Current State: 60:[57, 3], Operations: ['33-24=9', '9/3=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
61,
9,
93,
19
] | 15 | [
"61+93=154",
"154-19=135",
"135/9=15"
] | Current State: 15:[61, 9, 93, 19], Operations: []
Exploring Operation: 61+93=154, Resulting Numbers: [9, 19, 154]
Generated Node #2: [9, 19, 154] from Operation: 61+93=154
Current State: 15:[9, 19, 154], Operations: ['61+93=154']
Exploring Operation: 154-19=135, Resulting Numbers: [9, 135]
Generated Node #3: [9, 135] from Operation: 154-19=135
Current State: 15:[9, 135], Operations: ['61+93=154', '154-19=135']
Exploring Operation: 135/9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
11,
86,
41,
43
] | 54 | [
"11+41=52",
"86/43=2",
"52+2=54"
] | Current State: 54:[11, 86, 41, 43], Operations: []
Exploring Operation: 11+41=52, Resulting Numbers: [86, 43, 52]
Generated Node #2: [86, 43, 52] from Operation: 11+41=52
Current State: 54:[86, 43, 52], Operations: ['11+41=52']
Exploring Operation: 86/43=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 86/43=2
Current State: 54:[52, 2], Operations: ['11+41=52', '86/43=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
17,
2,
6,
84
] | 31 | [
"17-6=11",
"84/2=42",
"42-11=31"
] | Current State: 31:[17, 2, 6, 84], Operations: []
Exploring Operation: 17-6=11, Resulting Numbers: [2, 84, 11]
Generated Node #2: [2, 84, 11] from Operation: 17-6=11
Current State: 31:[2, 84, 11], Operations: ['17-6=11']
Exploring Operation: 84/2=42, Resulting Numbers: [11, 42]
Generated Node #3: [11, 42] from Operation: 84/2=42
Current State: 31:[11, 42], Operations: ['17-6=11', '84/2=42']
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
10,
78,
25,
72
] | 29 | [
"78-10=68",
"25+72=97",
"97-68=29"
] | Current State: 29:[10, 78, 25, 72], Operations: []
Exploring Operation: 78-10=68, Resulting Numbers: [25, 72, 68]
Generated Node #2: [25, 72, 68] from Operation: 78-10=68
Current State: 29:[25, 72, 68], Operations: ['78-10=68']
Exploring Operation: 25+72=97, Resulting Numbers: [68, 97]
Generated Node #3: [68, 97] from Operation: 25+72=97
Current State: 29:[68, 97], Operations: ['78-10=68', '25+72=97']
Exploring Operation: 97-68=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
97,
3,
33,
38
] | 20 | [
"97+3=100",
"38-33=5",
"100/5=20"
] | Current State: 20:[97, 3, 33, 38], Operations: []
Exploring Operation: 97+3=100, Resulting Numbers: [33, 38, 100]
Generated Node #2: [33, 38, 100] from Operation: 97+3=100
Current State: 20:[33, 38, 100], Operations: ['97+3=100']
Exploring Operation: 38-33=5, Resulting Numbers: [100, 5]
Generated Node #3: [100, 5] from Operation: 38-33=5
Current State: 20:[100, 5], Operations: ['97+3=100', '38-33=5']
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
71,
76,
33,
56
] | 58 | [
"71+76=147",
"33+56=89",
"147-89=58"
] | Current State: 58:[71, 76, 33, 56], Operations: []
Exploring Operation: 71+76=147, Resulting Numbers: [33, 56, 147]
Generated Node #2: [33, 56, 147] from Operation: 71+76=147
Current State: 58:[33, 56, 147], Operations: ['71+76=147']
Exploring Operation: 33+56=89, Resulting Numbers: [147, 89]
Generated Node #3: [147, 89] from Operation: 33+56=89
Current State: 58:[147, 89], Operations: ['71+76=147', '33+56=89']
Exploring Operation: 147-89=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
3,
10,
32,
33
] | 13 | [
"3+10=13",
"33-32=1",
"13*1=13"
] | Current State: 13:[3, 10, 32, 33], Operations: []
Exploring Operation: 3+10=13, Resulting Numbers: [32, 33, 13]
Generated Node #2: [32, 33, 13] from Operation: 3+10=13
Current State: 13:[32, 33, 13], Operations: ['3+10=13']
Exploring Operation: 33-32=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 33-32=1
Current State: 13:[13, 1], Operations: ['3+10=13', '33-32=1']
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
41,
36,
9,
54
] | 58 | [
"41-36=5",
"9+54=63",
"63-5=58"
] | Current State: 58:[41, 36, 9, 54], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [9, 54, 5]
Generated Node #2: [9, 54, 5] from Operation: 41-36=5
Current State: 58:[9, 54, 5], Operations: ['41-36=5']
Exploring Operation: 9+54=63, Resulting Numbers: [5, 63]
Generated Node #3: [5, 63] from Operation: 9+54=63
Current State: 58:[5, 63], Operations: ['41-36=5', '9+54=63']
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
93,
99,
80,
91
] | 61 | [
"93-91=2",
"80*2=160",
"160-99=61"
] | Current State: 61:[93, 99, 80, 91], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [99, 80, 2]
Generated Node #2: [99, 80, 2] from Operation: 93-91=2
Current State: 61:[99, 80, 2], Operations: ['93-91=2']
Exploring Operation: 80*2=160, Resulting Numbers: [99, 160]
Generated Node #3: [99, 160] from Operation: 80*2=160
Current State: 61:[99, 160], Operations: ['93-91=2', '80*2=160']
Exploring Operation: 160-99=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
62,
77,
41,
77
] | 20 | [
"62-41=21",
"77/77=1",
"21-1=20"
] | Current State: 20:[62, 77, 41, 77], Operations: []
Exploring Operation: 62-41=21, Resulting Numbers: [77, 77, 21]
Generated Node #2: [77, 77, 21] from Operation: 62-41=21
Current State: 20:[77, 77, 21], Operations: ['62-41=21']
Exploring Operation: 77/77=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 77/77=1
Current State: 20:[21, 1], Operations: ['62-41=21', '77/77=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
50,
25,
51,
52
] | 50 | [
"50/25=2",
"51*2=102",
"102-52=50"
] | Current State: 50:[50, 25, 51, 52], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [51, 52, 2]
Generated Node #2: [51, 52, 2] from Operation: 50/25=2
Current State: 50:[51, 52, 2], Operations: ['50/25=2']
Exploring Operation: 51*2=102, Resulting Numbers: [52, 102]
Generated Node #3: [52, 102] from Operation: 51*2=102
Current State: 50:[52, 102], Operations: ['50/25=2', '51*2=102']
Exploring Operation: 102-52=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
78,
16,
42,
66
] | 63 | [
"42-16=26",
"78/26=3",
"66-3=63"
] | Current State: 63:[78, 16, 42, 66], Operations: []
Exploring Operation: 42-16=26, Resulting Numbers: [78, 66, 26]
Generated Node #2: [78, 66, 26] from Operation: 42-16=26
Current State: 63:[78, 66, 26], Operations: ['42-16=26']
Exploring Operation: 78/26=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 78/26=3
Current State: 63:[66, 3], Operations: ['42-16=26', '78/26=3']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
78,
84,
49,
24
] | 79 | [
"84-78=6",
"49+24=73",
"6+73=79"
] | Current State: 79:[78, 84, 49, 24], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [49, 24, 6]
Generated Node #2: [49, 24, 6] from Operation: 84-78=6
Current State: 79:[49, 24, 6], Operations: ['84-78=6']
Exploring Operation: 49+24=73, Resulting Numbers: [6, 73]
Generated Node #3: [6, 73] from Operation: 49+24=73
Current State: 79:[6, 73], Operations: ['84-78=6', '49+24=73']
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
66,
27,
35,
80
] | 22 | [
"66+27=93",
"35+80=115",
"115-93=22"
] | Current State: 22:[66, 27, 35, 80], Operations: []
Exploring Operation: 66+27=93, Resulting Numbers: [35, 80, 93]
Generated Node #2: [35, 80, 93] from Operation: 66+27=93
Current State: 22:[35, 80, 93], Operations: ['66+27=93']
Exploring Operation: 35+80=115, Resulting Numbers: [93, 115]
Generated Node #3: [93, 115] from Operation: 35+80=115
Current State: 22:[93, 115], Operations: ['66+27=93', '35+80=115']
Exploring Operation: 115-93=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
41,
24,
3,
23
] | 78 | [
"41-23=18",
"3*18=54",
"24+54=78"
] | Current State: 78:[41, 24, 3, 23], Operations: []
Exploring Operation: 41-23=18, Resulting Numbers: [24, 3, 18]
Generated Node #2: [24, 3, 18] from Operation: 41-23=18
Current State: 78:[24, 3, 18], Operations: ['41-23=18']
Exploring Operation: 3*18=54, Resulting Numbers: [24, 54]
Generated Node #3: [24, 54] from Operation: 3*18=54
Current State: 78:[24, 54], Operations: ['41-23=18', '3*18=54']
Exploring Operation: 24+54=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
27,
76,
28,
39
] | 18 | [
"76-27=49",
"28+39=67",
"67-49=18"
] | Current State: 18:[27, 76, 28, 39], Operations: []
Exploring Operation: 76-27=49, Resulting Numbers: [28, 39, 49]
Generated Node #2: [28, 39, 49] from Operation: 76-27=49
Current State: 18:[28, 39, 49], Operations: ['76-27=49']
Exploring Operation: 28+39=67, Resulting Numbers: [49, 67]
Generated Node #3: [49, 67] from Operation: 28+39=67
Current State: 18:[49, 67], Operations: ['76-27=49', '28+39=67']
Exploring Operation: 67-49=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
6,
76,
51,
55
] | 95 | [
"76-51=25",
"6*25=150",
"150-55=95"
] | Current State: 95:[6, 76, 51, 55], Operations: []
Exploring Operation: 76-51=25, Resulting Numbers: [6, 55, 25]
Generated Node #2: [6, 55, 25] from Operation: 76-51=25
Current State: 95:[6, 55, 25], Operations: ['76-51=25']
Exploring Operation: 6*25=150, Resulting Numbers: [55, 150]
Generated Node #3: [55, 150] from Operation: 6*25=150
Current State: 95:[55, 150], Operations: ['76-51=25', '6*25=150']
Exploring Operation: 150-55=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
18,
72,
52,
14
] | 42 | [
"72/18=4",
"52-14=38",
"4+38=42"
] | Current State: 42:[18, 72, 52, 14], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [52, 14, 4]
Generated Node #2: [52, 14, 4] from Operation: 72/18=4
Current State: 42:[52, 14, 4], Operations: ['72/18=4']
Exploring Operation: 52-14=38, Resulting Numbers: [4, 38]
Generated Node #3: [4, 38] from Operation: 52-14=38
Current State: 42:[4, 38], Operations: ['72/18=4', '52-14=38']
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
13,
54,
87,
64
] | 10 | [
"13+87=100",
"64-54=10",
"100/10=10"
] | Current State: 10:[13, 54, 87, 64], Operations: []
Exploring Operation: 13+87=100, Resulting Numbers: [54, 64, 100]
Generated Node #2: [54, 64, 100] from Operation: 13+87=100
Current State: 10:[54, 64, 100], Operations: ['13+87=100']
Exploring Operation: 64-54=10, Resulting Numbers: [100, 10]
Generated Node #3: [100, 10] from Operation: 64-54=10
Current State: 10:[100, 10], Operations: ['13+87=100', '64-54=10']
Exploring Operation: 100/10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
8,
74,
9,
29
] | 28 | [
"74-8=66",
"9+29=38",
"66-38=28"
] | Current State: 28:[8, 74, 9, 29], Operations: []
Exploring Operation: 74-8=66, Resulting Numbers: [9, 29, 66]
Generated Node #2: [9, 29, 66] from Operation: 74-8=66
Current State: 28:[9, 29, 66], Operations: ['74-8=66']
Exploring Operation: 9+29=38, Resulting Numbers: [66, 38]
Generated Node #3: [66, 38] from Operation: 9+29=38
Current State: 28:[66, 38], Operations: ['74-8=66', '9+29=38']
Exploring Operation: 66-38=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
15,
53,
29,
44
] | 83 | [
"15+53=68",
"44-29=15",
"68+15=83"
] | Current State: 83:[15, 53, 29, 44], Operations: []
Exploring Operation: 15+53=68, Resulting Numbers: [29, 44, 68]
Generated Node #2: [29, 44, 68] from Operation: 15+53=68
Current State: 83:[29, 44, 68], Operations: ['15+53=68']
Exploring Operation: 44-29=15, Resulting Numbers: [68, 15]
Generated Node #3: [68, 15] from Operation: 44-29=15
Current State: 83:[68, 15], Operations: ['15+53=68', '44-29=15']
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
61,
59,
76,
50
] | 94 | [
"61+59=120",
"76-50=26",
"120-26=94"
] | Current State: 94:[61, 59, 76, 50], Operations: []
Exploring Operation: 61+59=120, Resulting Numbers: [76, 50, 120]
Generated Node #2: [76, 50, 120] from Operation: 61+59=120
Current State: 94:[76, 50, 120], Operations: ['61+59=120']
Exploring Operation: 76-50=26, Resulting Numbers: [120, 26]
Generated Node #3: [120, 26] from Operation: 76-50=26
Current State: 94:[120, 26], Operations: ['61+59=120', '76-50=26']
Exploring Operation: 120-26=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
49,
81,
76,
40
] | 95 | [
"81-49=32",
"76*40=3040",
"3040/32=95"
] | Current State: 95:[49, 81, 76, 40], Operations: []
Exploring Operation: 81-49=32, Resulting Numbers: [76, 40, 32]
Generated Node #2: [76, 40, 32] from Operation: 81-49=32
Current State: 95:[76, 40, 32], Operations: ['81-49=32']
Exploring Operation: 76*40=3040, Resulting Numbers: [32, 3040]
Generated Node #3: [32, 3040] from Operation: 76*40=3040
Current State: 95:[32, 3040], Operations: ['81-49=32', '76*40=3040']
Exploring Operation: 3040/32=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
12,
29,
62,
39
] | 27 | [
"12*62=744",
"39+744=783",
"783/29=27"
] | Current State: 27:[12, 29, 62, 39], Operations: []
Exploring Operation: 12*62=744, Resulting Numbers: [29, 39, 744]
Generated Node #2: [29, 39, 744] from Operation: 12*62=744
Current State: 27:[29, 39, 744], Operations: ['12*62=744']
Exploring Operation: 39+744=783, Resulting Numbers: [29, 783]
Generated Node #3: [29, 783] from Operation: 39+744=783
Current State: 27:[29, 783], Operations: ['12*62=744', '39+744=783']
Exploring Operation: 783/29=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
59,
99,
97,
6
] | 47 | [
"99-97=2",
"6*2=12",
"59-12=47"
] | Current State: 47:[59, 99, 97, 6], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [59, 6, 2]
Generated Node #2: [59, 6, 2] from Operation: 99-97=2
Current State: 47:[59, 6, 2], Operations: ['99-97=2']
Exploring Operation: 6*2=12, Resulting Numbers: [59, 12]
Generated Node #3: [59, 12] from Operation: 6*2=12
Current State: 47:[59, 12], Operations: ['99-97=2', '6*2=12']
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
15,
30,
32,
76
] | 70 | [
"30/15=2",
"76/2=38",
"32+38=70"
] | Current State: 70:[15, 30, 32, 76], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [32, 76, 2]
Generated Node #2: [32, 76, 2] from Operation: 30/15=2
Current State: 70:[32, 76, 2], Operations: ['30/15=2']
Exploring Operation: 76/2=38, Resulting Numbers: [32, 38]
Generated Node #3: [32, 38] from Operation: 76/2=38
Current State: 70:[32, 38], Operations: ['30/15=2', '76/2=38']
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
70,
46,
87,
83
] | 29 | [
"70+46=116",
"87-83=4",
"116/4=29"
] | Current State: 29:[70, 46, 87, 83], Operations: []
Exploring Operation: 70+46=116, Resulting Numbers: [87, 83, 116]
Generated Node #2: [87, 83, 116] from Operation: 70+46=116
Current State: 29:[87, 83, 116], Operations: ['70+46=116']
Exploring Operation: 87-83=4, Resulting Numbers: [116, 4]
Generated Node #3: [116, 4] from Operation: 87-83=4
Current State: 29:[116, 4], Operations: ['70+46=116', '87-83=4']
Exploring Operation: 116/4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
29,
21,
36,
18
] | 16 | [
"29-21=8",
"36/18=2",
"8*2=16"
] | Current State: 16:[29, 21, 36, 18], Operations: []
Exploring Operation: 29-21=8, Resulting Numbers: [36, 18, 8]
Generated Node #2: [36, 18, 8] from Operation: 29-21=8
Current State: 16:[36, 18, 8], Operations: ['29-21=8']
Exploring Operation: 36/18=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 36/18=2
Current State: 16:[8, 2], Operations: ['29-21=8', '36/18=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
77,
63,
36,
35
] | 69 | [
"77+63=140",
"36+35=71",
"140-71=69"
] | Current State: 69:[77, 63, 36, 35], Operations: []
Exploring Operation: 77+63=140, Resulting Numbers: [36, 35, 140]
Generated Node #2: [36, 35, 140] from Operation: 77+63=140
Current State: 69:[36, 35, 140], Operations: ['77+63=140']
Exploring Operation: 36+35=71, Resulting Numbers: [140, 71]
Generated Node #3: [140, 71] from Operation: 36+35=71
Current State: 69:[140, 71], Operations: ['77+63=140', '36+35=71']
Exploring Operation: 140-71=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
68,
19,
75,
63
] | 51 | [
"68+19=87",
"75+63=138",
"138-87=51"
] | Current State: 51:[68, 19, 75, 63], Operations: []
Exploring Operation: 68+19=87, Resulting Numbers: [75, 63, 87]
Generated Node #2: [75, 63, 87] from Operation: 68+19=87
Current State: 51:[75, 63, 87], Operations: ['68+19=87']
Exploring Operation: 75+63=138, Resulting Numbers: [87, 138]
Generated Node #3: [87, 138] from Operation: 75+63=138
Current State: 51:[87, 138], Operations: ['68+19=87', '75+63=138']
Exploring Operation: 138-87=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
3,
48,
61,
9
] | 77 | [
"3*48=144",
"144/9=16",
"61+16=77"
] | Current State: 77:[3, 48, 61, 9], Operations: []
Exploring Operation: 3*48=144, Resulting Numbers: [61, 9, 144]
Generated Node #2: [61, 9, 144] from Operation: 3*48=144
Current State: 77:[61, 9, 144], Operations: ['3*48=144']
Exploring Operation: 144/9=16, Resulting Numbers: [61, 16]
Generated Node #3: [61, 16] from Operation: 144/9=16
Current State: 77:[61, 16], Operations: ['3*48=144', '144/9=16']
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
49,
59,
56,
27
] | 66 | [
"49-27=22",
"59-56=3",
"22*3=66"
] | Current State: 66:[49, 59, 56, 27], Operations: []
Exploring Operation: 49-27=22, Resulting Numbers: [59, 56, 22]
Generated Node #2: [59, 56, 22] from Operation: 49-27=22
Current State: 66:[59, 56, 22], Operations: ['49-27=22']
Exploring Operation: 59-56=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 59-56=3
Current State: 66:[22, 3], Operations: ['49-27=22', '59-56=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
32,
26,
51,
35
] | 96 | [
"32-26=6",
"51-35=16",
"6*16=96"
] | Current State: 96:[32, 26, 51, 35], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [51, 35, 6]
Generated Node #2: [51, 35, 6] from Operation: 32-26=6
Current State: 96:[51, 35, 6], Operations: ['32-26=6']
Exploring Operation: 51-35=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 51-35=16
Current State: 96:[6, 16], Operations: ['32-26=6', '51-35=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
61,
77,
89,
83
] | 22 | [
"77-61=16",
"89-83=6",
"16+6=22"
] | Current State: 22:[61, 77, 89, 83], Operations: []
Exploring Operation: 77-61=16, Resulting Numbers: [89, 83, 16]
Generated Node #2: [89, 83, 16] from Operation: 77-61=16
Current State: 22:[89, 83, 16], Operations: ['77-61=16']
Exploring Operation: 89-83=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 89-83=6
Current State: 22:[16, 6], Operations: ['77-61=16', '89-83=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
10,
10,
33,
18
] | 50 | [
"10/10=1",
"33+18=51",
"51-1=50"
] | Current State: 50:[10, 10, 33, 18], Operations: []
Exploring Operation: 10/10=1, Resulting Numbers: [33, 18, 1]
Generated Node #2: [33, 18, 1] from Operation: 10/10=1
Current State: 50:[33, 18, 1], Operations: ['10/10=1']
Exploring Operation: 33+18=51, Resulting Numbers: [1, 51]
Generated Node #3: [1, 51] from Operation: 33+18=51
Current State: 50:[1, 51], Operations: ['10/10=1', '33+18=51']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
90,
25,
88,
36
] | 97 | [
"90-88=2",
"36*2=72",
"25+72=97"
] | Current State: 97:[90, 25, 88, 36], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [25, 36, 2]
Generated Node #2: [25, 36, 2] from Operation: 90-88=2
Current State: 97:[25, 36, 2], Operations: ['90-88=2']
Exploring Operation: 36*2=72, Resulting Numbers: [25, 72]
Generated Node #3: [25, 72] from Operation: 36*2=72
Current State: 97:[25, 72], Operations: ['90-88=2', '36*2=72']
Exploring Operation: 25+72=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
14,
79,
84,
72
] | 12 | [
"79-14=65",
"72-65=7",
"84/7=12"
] | Current State: 12:[14, 79, 84, 72], Operations: []
Exploring Operation: 79-14=65, Resulting Numbers: [84, 72, 65]
Generated Node #2: [84, 72, 65] from Operation: 79-14=65
Current State: 12:[84, 72, 65], Operations: ['79-14=65']
Exploring Operation: 72-65=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 72-65=7
Current State: 12:[84, 7], Operations: ['79-14=65', '72-65=7']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
1,
46,
66,
77
] | 34 | [
"46-1=45",
"77-66=11",
"45-11=34"
] | Current State: 34:[1, 46, 66, 77], Operations: []
Exploring Operation: 46-1=45, Resulting Numbers: [66, 77, 45]
Generated Node #2: [66, 77, 45] from Operation: 46-1=45
Current State: 34:[66, 77, 45], Operations: ['46-1=45']
Exploring Operation: 77-66=11, Resulting Numbers: [45, 11]
Generated Node #3: [45, 11] from Operation: 77-66=11
Current State: 34:[45, 11], Operations: ['46-1=45', '77-66=11']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
80,
30,
11,
88
] | 22 | [
"30*88=2640",
"2640/80=33",
"33-11=22"
] | Current State: 22:[80, 30, 11, 88], Operations: []
Exploring Operation: 30*88=2640, Resulting Numbers: [80, 11, 2640]
Generated Node #2: [80, 11, 2640] from Operation: 30*88=2640
Current State: 22:[80, 11, 2640], Operations: ['30*88=2640']
Exploring Operation: 2640/80=33, Resulting Numbers: [11, 33]
Generated Node #3: [11, 33] from Operation: 2640/80=33
Current State: 22:[11, 33], Operations: ['30*88=2640', '2640/80=33']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
60,
96,
44,
63
] | 27 | [
"60*63=3780",
"96+44=140",
"3780/140=27"
] | Current State: 27:[60, 96, 44, 63], Operations: []
Exploring Operation: 60*63=3780, Resulting Numbers: [96, 44, 3780]
Generated Node #2: [96, 44, 3780] from Operation: 60*63=3780
Current State: 27:[96, 44, 3780], Operations: ['60*63=3780']
Exploring Operation: 96+44=140, Resulting Numbers: [3780, 140]
Generated Node #3: [3780, 140] from Operation: 96+44=140
Current State: 27:[3780, 140], Operations: ['60*63=3780', '96+44=140']
Exploring Operation: 3780/140=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
3,
81,
83,
89
] | 33 | [
"81/3=27",
"89-83=6",
"27+6=33"
] | Current State: 33:[3, 81, 83, 89], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [83, 89, 27]
Generated Node #2: [83, 89, 27] from Operation: 81/3=27
Current State: 33:[83, 89, 27], Operations: ['81/3=27']
Exploring Operation: 89-83=6, Resulting Numbers: [27, 6]
Generated Node #3: [27, 6] from Operation: 89-83=6
Current State: 33:[27, 6], Operations: ['81/3=27', '89-83=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
21,
26,
65,
56
] | 14 | [
"26-21=5",
"65-56=9",
"5+9=14"
] | Current State: 14:[21, 26, 65, 56], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [65, 56, 5]
Generated Node #2: [65, 56, 5] from Operation: 26-21=5
Current State: 14:[65, 56, 5], Operations: ['26-21=5']
Exploring Operation: 65-56=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 65-56=9
Current State: 14:[5, 9], Operations: ['26-21=5', '65-56=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
32,
13,
7,
3
] | 34 | [
"13-7=6",
"6/3=2",
"32+2=34"
] | Current State: 34:[32, 13, 7, 3], Operations: []
Exploring Operation: 13-7=6, Resulting Numbers: [32, 3, 6]
Generated Node #2: [32, 3, 6] from Operation: 13-7=6
Current State: 34:[32, 3, 6], Operations: ['13-7=6']
Exploring Operation: 6/3=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 6/3=2
Current State: 34:[32, 2], Operations: ['13-7=6', '6/3=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
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