nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
29,
17,
48,
18
] | 72 | [
"29-17=12",
"48*18=864",
"864/12=72"
] | Current State: 72:[29, 17, 48, 18], Operations: []
Exploring Operation: 29-17=12, Resulting Numbers: [48, 18, 12]
Generated Node #2: [48, 18, 12] from Operation: 29-17=12
Current State: 72:[48, 18, 12], Operations: ['29-17=12']
Exploring Operation: 48*18=864, Resulting Numbers: [12, 864]
Generated Node #3: [12, 864] from Operation: 48*18=864
Current State: 72:[12, 864], Operations: ['29-17=12', '48*18=864']
Exploring Operation: 864/12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
12,
62,
77,
76
] | 79 | [
"12+62=74",
"77+76=153",
"153-74=79"
] | Current State: 79:[12, 62, 77, 76], Operations: []
Exploring Operation: 12+62=74, Resulting Numbers: [77, 76, 74]
Generated Node #2: [77, 76, 74] from Operation: 12+62=74
Current State: 79:[77, 76, 74], Operations: ['12+62=74']
Exploring Operation: 77+76=153, Resulting Numbers: [74, 153]
Generated Node #3: [74, 153] from Operation: 77+76=153
Current State: 79:[74, 153], Operations: ['12+62=74', '77+76=153']
Exploring Operation: 153-74=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
34,
60,
68,
25
] | 87 | [
"68/34=2",
"60+25=85",
"2+85=87"
] | Current State: 87:[34, 60, 68, 25], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [60, 25, 2]
Generated Node #2: [60, 25, 2] from Operation: 68/34=2
Current State: 87:[60, 25, 2], Operations: ['68/34=2']
Exploring Operation: 60+25=85, Resulting Numbers: [2, 85]
Generated Node #3: [2, 85] from Operation: 60+25=85
Current State: 87:[2, 85], Operations: ['68/34=2', '60+25=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
24,
14,
49,
92
] | 33 | [
"24-14=10",
"92-49=43",
"43-10=33"
] | Current State: 33:[24, 14, 49, 92], Operations: []
Exploring Operation: 24-14=10, Resulting Numbers: [49, 92, 10]
Generated Node #2: [49, 92, 10] from Operation: 24-14=10
Current State: 33:[49, 92, 10], Operations: ['24-14=10']
Exploring Operation: 92-49=43, Resulting Numbers: [10, 43]
Generated Node #3: [10, 43] from Operation: 92-49=43
Current State: 33:[10, 43], Operations: ['24-14=10', '92-49=43']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
10,
27,
46,
22
] | 31 | [
"10+27=37",
"46+22=68",
"68-37=31"
] | Current State: 31:[10, 27, 46, 22], Operations: []
Exploring Operation: 10+27=37, Resulting Numbers: [46, 22, 37]
Generated Node #2: [46, 22, 37] from Operation: 10+27=37
Current State: 31:[46, 22, 37], Operations: ['10+27=37']
Exploring Operation: 46+22=68, Resulting Numbers: [37, 68]
Generated Node #3: [37, 68] from Operation: 46+22=68
Current State: 31:[37, 68], Operations: ['10+27=37', '46+22=68']
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
12,
30,
18,
25
] | 54 | [
"25-18=7",
"12*7=84",
"84-30=54"
] | Current State: 54:[12, 30, 18, 25], Operations: []
Exploring Operation: 25-18=7, Resulting Numbers: [12, 30, 7]
Generated Node #2: [12, 30, 7] from Operation: 25-18=7
Current State: 54:[12, 30, 7], Operations: ['25-18=7']
Exploring Operation: 12*7=84, Resulting Numbers: [30, 84]
Generated Node #3: [30, 84] from Operation: 12*7=84
Current State: 54:[30, 84], Operations: ['25-18=7', '12*7=84']
Exploring Operation: 84-30=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
26,
59,
61,
42
] | 55 | [
"61-59=2",
"26/2=13",
"42+13=55"
] | Current State: 55:[26, 59, 61, 42], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [26, 42, 2]
Generated Node #2: [26, 42, 2] from Operation: 61-59=2
Current State: 55:[26, 42, 2], Operations: ['61-59=2']
Exploring Operation: 26/2=13, Resulting Numbers: [42, 13]
Generated Node #3: [42, 13] from Operation: 26/2=13
Current State: 55:[42, 13], Operations: ['61-59=2', '26/2=13']
Exploring Operation: 42+13=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
6,
19,
71,
42
] | 67 | [
"42-19=23",
"6*23=138",
"138-71=67"
] | Current State: 67:[6, 19, 71, 42], Operations: []
Exploring Operation: 42-19=23, Resulting Numbers: [6, 71, 23]
Generated Node #2: [6, 71, 23] from Operation: 42-19=23
Current State: 67:[6, 71, 23], Operations: ['42-19=23']
Exploring Operation: 6*23=138, Resulting Numbers: [71, 138]
Generated Node #3: [71, 138] from Operation: 6*23=138
Current State: 67:[71, 138], Operations: ['42-19=23', '6*23=138']
Exploring Operation: 138-71=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
66,
2,
17,
36
] | 68 | [
"66+36=102",
"2*17=34",
"102-34=68"
] | Current State: 68:[66, 2, 17, 36], Operations: []
Exploring Operation: 66+36=102, Resulting Numbers: [2, 17, 102]
Generated Node #2: [2, 17, 102] from Operation: 66+36=102
Current State: 68:[2, 17, 102], Operations: ['66+36=102']
Exploring Operation: 2*17=34, Resulting Numbers: [102, 34]
Generated Node #3: [102, 34] from Operation: 2*17=34
Current State: 68:[102, 34], Operations: ['66+36=102', '2*17=34']
Exploring Operation: 102-34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
1,
79,
63,
42
] | 100 | [
"1*79=79",
"63-42=21",
"79+21=100"
] | Current State: 100:[1, 79, 63, 42], Operations: []
Exploring Operation: 1*79=79, Resulting Numbers: [63, 42, 79]
Generated Node #2: [63, 42, 79] from Operation: 1*79=79
Current State: 100:[63, 42, 79], Operations: ['1*79=79']
Exploring Operation: 63-42=21, Resulting Numbers: [79, 21]
Generated Node #3: [79, 21] from Operation: 63-42=21
Current State: 100:[79, 21], Operations: ['1*79=79', '63-42=21']
Exploring Operation: 79+21=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
50,
71,
6,
11
] | 61 | [
"11-6=5",
"50/5=10",
"71-10=61"
] | Current State: 61:[50, 71, 6, 11], Operations: []
Exploring Operation: 11-6=5, Resulting Numbers: [50, 71, 5]
Generated Node #2: [50, 71, 5] from Operation: 11-6=5
Current State: 61:[50, 71, 5], Operations: ['11-6=5']
Exploring Operation: 50/5=10, Resulting Numbers: [71, 10]
Generated Node #3: [71, 10] from Operation: 50/5=10
Current State: 61:[71, 10], Operations: ['11-6=5', '50/5=10']
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
93,
60,
4,
52
] | 91 | [
"60-52=8",
"8/4=2",
"93-2=91"
] | Current State: 91:[93, 60, 4, 52], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [93, 4, 8]
Generated Node #2: [93, 4, 8] from Operation: 60-52=8
Current State: 91:[93, 4, 8], Operations: ['60-52=8']
Exploring Operation: 8/4=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 8/4=2
Current State: 91:[93, 2], Operations: ['60-52=8', '8/4=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
6,
84,
30,
37
] | 40 | [
"6+84=90",
"90/30=3",
"37+3=40"
] | Current State: 40:[6, 84, 30, 37], Operations: []
Exploring Operation: 6+84=90, Resulting Numbers: [30, 37, 90]
Generated Node #2: [30, 37, 90] from Operation: 6+84=90
Current State: 40:[30, 37, 90], Operations: ['6+84=90']
Exploring Operation: 90/30=3, Resulting Numbers: [37, 3]
Generated Node #3: [37, 3] from Operation: 90/30=3
Current State: 40:[37, 3], Operations: ['6+84=90', '90/30=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
13,
17,
94,
42
] | 13 | [
"17-13=4",
"94-42=52",
"52/4=13"
] | Current State: 13:[13, 17, 94, 42], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [94, 42, 4]
Generated Node #2: [94, 42, 4] from Operation: 17-13=4
Current State: 13:[94, 42, 4], Operations: ['17-13=4']
Exploring Operation: 94-42=52, Resulting Numbers: [4, 52]
Generated Node #3: [4, 52] from Operation: 94-42=52
Current State: 13:[4, 52], Operations: ['17-13=4', '94-42=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
61,
73,
75,
7
] | 34 | [
"61+7=68",
"75-73=2",
"68/2=34"
] | Current State: 34:[61, 73, 75, 7], Operations: []
Exploring Operation: 61+7=68, Resulting Numbers: [73, 75, 68]
Generated Node #2: [73, 75, 68] from Operation: 61+7=68
Current State: 34:[73, 75, 68], Operations: ['61+7=68']
Exploring Operation: 75-73=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 75-73=2
Current State: 34:[68, 2], Operations: ['61+7=68', '75-73=2']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
46,
9,
79,
3
] | 36 | [
"79-46=33",
"9/3=3",
"33+3=36"
] | Current State: 36:[46, 9, 79, 3], Operations: []
Exploring Operation: 79-46=33, Resulting Numbers: [9, 3, 33]
Generated Node #2: [9, 3, 33] from Operation: 79-46=33
Current State: 36:[9, 3, 33], Operations: ['79-46=33']
Exploring Operation: 9/3=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 9/3=3
Current State: 36:[33, 3], Operations: ['79-46=33', '9/3=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
21,
20,
48,
35
] | 63 | [
"48*35=1680",
"1680/20=84",
"84-21=63"
] | Current State: 63:[21, 20, 48, 35], Operations: []
Exploring Operation: 48*35=1680, Resulting Numbers: [21, 20, 1680]
Generated Node #2: [21, 20, 1680] from Operation: 48*35=1680
Current State: 63:[21, 20, 1680], Operations: ['48*35=1680']
Exploring Operation: 1680/20=84, Resulting Numbers: [21, 84]
Generated Node #3: [21, 84] from Operation: 1680/20=84
Current State: 63:[21, 84], Operations: ['48*35=1680', '1680/20=84']
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
13,
55,
1,
89
] | 47 | [
"55-13=42",
"1*89=89",
"89-42=47"
] | Current State: 47:[13, 55, 1, 89], Operations: []
Exploring Operation: 55-13=42, Resulting Numbers: [1, 89, 42]
Generated Node #2: [1, 89, 42] from Operation: 55-13=42
Current State: 47:[1, 89, 42], Operations: ['55-13=42']
Exploring Operation: 1*89=89, Resulting Numbers: [42, 89]
Generated Node #3: [42, 89] from Operation: 1*89=89
Current State: 47:[42, 89], Operations: ['55-13=42', '1*89=89']
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
30,
51,
50,
28
] | 52 | [
"30-28=2",
"51*2=102",
"102-50=52"
] | Current State: 52:[30, 51, 50, 28], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [51, 50, 2]
Generated Node #2: [51, 50, 2] from Operation: 30-28=2
Current State: 52:[51, 50, 2], Operations: ['30-28=2']
Exploring Operation: 51*2=102, Resulting Numbers: [50, 102]
Generated Node #3: [50, 102] from Operation: 51*2=102
Current State: 52:[50, 102], Operations: ['30-28=2', '51*2=102']
Exploring Operation: 102-50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
86,
9,
72,
72
] | 22 | [
"86-72=14",
"72/9=8",
"14+8=22"
] | Current State: 22:[86, 9, 72, 72], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [9, 14]
Generated Node #2: [9, 14] from Operation: 86-72=14
Current State: 22:[9, 14], Operations: ['86-72=14']
Exploring Operation: 72/9=8, Resulting Numbers: [14, 8]
Generated Node #3: [14, 8] from Operation: 72/9=8
Current State: 22:[14, 8], Operations: ['86-72=14', '72/9=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
84,
32,
96,
3
] | 60 | [
"84+32=116",
"116-96=20",
"3*20=60"
] | Current State: 60:[84, 32, 96, 3], Operations: []
Exploring Operation: 84+32=116, Resulting Numbers: [96, 3, 116]
Generated Node #2: [96, 3, 116] from Operation: 84+32=116
Current State: 60:[96, 3, 116], Operations: ['84+32=116']
Exploring Operation: 116-96=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 116-96=20
Current State: 60:[3, 20], Operations: ['84+32=116', '116-96=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
13,
82,
9,
18
] | 96 | [
"82-13=69",
"9+18=27",
"69+27=96"
] | Current State: 96:[13, 82, 9, 18], Operations: []
Exploring Operation: 82-13=69, Resulting Numbers: [9, 18, 69]
Generated Node #2: [9, 18, 69] from Operation: 82-13=69
Current State: 96:[9, 18, 69], Operations: ['82-13=69']
Exploring Operation: 9+18=27, Resulting Numbers: [69, 27]
Generated Node #3: [69, 27] from Operation: 9+18=27
Current State: 96:[69, 27], Operations: ['82-13=69', '9+18=27']
Exploring Operation: 69+27=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
21,
35,
18,
55
] | 87 | [
"35-21=14",
"18+55=73",
"14+73=87"
] | Current State: 87:[21, 35, 18, 55], Operations: []
Exploring Operation: 35-21=14, Resulting Numbers: [18, 55, 14]
Generated Node #2: [18, 55, 14] from Operation: 35-21=14
Current State: 87:[18, 55, 14], Operations: ['35-21=14']
Exploring Operation: 18+55=73, Resulting Numbers: [14, 73]
Generated Node #3: [14, 73] from Operation: 18+55=73
Current State: 87:[14, 73], Operations: ['35-21=14', '18+55=73']
Exploring Operation: 14+73=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
4,
40,
91,
93
] | 36 | [
"91-40=51",
"93+51=144",
"144/4=36"
] | Current State: 36:[4, 40, 91, 93], Operations: []
Exploring Operation: 91-40=51, Resulting Numbers: [4, 93, 51]
Generated Node #2: [4, 93, 51] from Operation: 91-40=51
Current State: 36:[4, 93, 51], Operations: ['91-40=51']
Exploring Operation: 93+51=144, Resulting Numbers: [4, 144]
Generated Node #3: [4, 144] from Operation: 93+51=144
Current State: 36:[4, 144], Operations: ['91-40=51', '93+51=144']
Exploring Operation: 144/4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
48,
29,
31,
90
] | 40 | [
"48-29=19",
"90-31=59",
"59-19=40"
] | Current State: 40:[48, 29, 31, 90], Operations: []
Exploring Operation: 48-29=19, Resulting Numbers: [31, 90, 19]
Generated Node #2: [31, 90, 19] from Operation: 48-29=19
Current State: 40:[31, 90, 19], Operations: ['48-29=19']
Exploring Operation: 90-31=59, Resulting Numbers: [19, 59]
Generated Node #3: [19, 59] from Operation: 90-31=59
Current State: 40:[19, 59], Operations: ['48-29=19', '90-31=59']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
25,
5,
98,
64
] | 91 | [
"25*5=125",
"98-64=34",
"125-34=91"
] | Current State: 91:[25, 5, 98, 64], Operations: []
Exploring Operation: 25*5=125, Resulting Numbers: [98, 64, 125]
Generated Node #2: [98, 64, 125] from Operation: 25*5=125
Current State: 91:[98, 64, 125], Operations: ['25*5=125']
Exploring Operation: 98-64=34, Resulting Numbers: [125, 34]
Generated Node #3: [125, 34] from Operation: 98-64=34
Current State: 91:[125, 34], Operations: ['25*5=125', '98-64=34']
Exploring Operation: 125-34=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
56,
54,
65,
90
] | 27 | [
"56-54=2",
"90-65=25",
"2+25=27"
] | Current State: 27:[56, 54, 65, 90], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [65, 90, 2]
Generated Node #2: [65, 90, 2] from Operation: 56-54=2
Current State: 27:[65, 90, 2], Operations: ['56-54=2']
Exploring Operation: 90-65=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 90-65=25
Current State: 27:[2, 25], Operations: ['56-54=2', '90-65=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
45,
17,
45,
9
] | 27 | [
"45+45=90",
"90/9=10",
"17+10=27"
] | Current State: 27:[45, 17, 45, 9], Operations: []
Exploring Operation: 45+45=90, Resulting Numbers: [17, 9, 90]
Generated Node #2: [17, 9, 90] from Operation: 45+45=90
Current State: 27:[17, 9, 90], Operations: ['45+45=90']
Exploring Operation: 90/9=10, Resulting Numbers: [17, 10]
Generated Node #3: [17, 10] from Operation: 90/9=10
Current State: 27:[17, 10], Operations: ['45+45=90', '90/9=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
48,
77,
79,
81
] | 53 | [
"81-79=2",
"48/2=24",
"77-24=53"
] | Current State: 53:[48, 77, 79, 81], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [48, 77, 2]
Generated Node #2: [48, 77, 2] from Operation: 81-79=2
Current State: 53:[48, 77, 2], Operations: ['81-79=2']
Exploring Operation: 48/2=24, Resulting Numbers: [77, 24]
Generated Node #3: [77, 24] from Operation: 48/2=24
Current State: 53:[77, 24], Operations: ['81-79=2', '48/2=24']
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
34,
93,
65,
24
] | 21 | [
"65-34=31",
"93/31=3",
"24-3=21"
] | Current State: 21:[34, 93, 65, 24], Operations: []
Exploring Operation: 65-34=31, Resulting Numbers: [93, 24, 31]
Generated Node #2: [93, 24, 31] from Operation: 65-34=31
Current State: 21:[93, 24, 31], Operations: ['65-34=31']
Exploring Operation: 93/31=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 93/31=3
Current State: 21:[24, 3], Operations: ['65-34=31', '93/31=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
54,
66,
20,
57
] | 14 | [
"66-57=9",
"54/9=6",
"20-6=14"
] | Current State: 14:[54, 66, 20, 57], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [54, 20, 9]
Generated Node #2: [54, 20, 9] from Operation: 66-57=9
Current State: 14:[54, 20, 9], Operations: ['66-57=9']
Exploring Operation: 54/9=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 54/9=6
Current State: 14:[20, 6], Operations: ['66-57=9', '54/9=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
3,
69,
73,
95
] | 23 | [
"95-3=92",
"73-69=4",
"92/4=23"
] | Current State: 23:[3, 69, 73, 95], Operations: []
Exploring Operation: 95-3=92, Resulting Numbers: [69, 73, 92]
Generated Node #2: [69, 73, 92] from Operation: 95-3=92
Current State: 23:[69, 73, 92], Operations: ['95-3=92']
Exploring Operation: 73-69=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 73-69=4
Current State: 23:[92, 4], Operations: ['95-3=92', '73-69=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
71,
93,
5,
78
] | 81 | [
"71+93=164",
"5+78=83",
"164-83=81"
] | Current State: 81:[71, 93, 5, 78], Operations: []
Exploring Operation: 71+93=164, Resulting Numbers: [5, 78, 164]
Generated Node #2: [5, 78, 164] from Operation: 71+93=164
Current State: 81:[5, 78, 164], Operations: ['71+93=164']
Exploring Operation: 5+78=83, Resulting Numbers: [164, 83]
Generated Node #3: [164, 83] from Operation: 5+78=83
Current State: 81:[164, 83], Operations: ['71+93=164', '5+78=83']
Exploring Operation: 164-83=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
81,
40,
5,
8
] | 91 | [
"81+5=86",
"40/8=5",
"86+5=91"
] | Current State: 91:[81, 40, 5, 8], Operations: []
Exploring Operation: 81+5=86, Resulting Numbers: [40, 8, 86]
Generated Node #2: [40, 8, 86] from Operation: 81+5=86
Current State: 91:[40, 8, 86], Operations: ['81+5=86']
Exploring Operation: 40/8=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 40/8=5
Current State: 91:[86, 5], Operations: ['81+5=86', '40/8=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
31,
71,
6,
25
] | 48 | [
"31+71=102",
"6*25=150",
"150-102=48"
] | Current State: 48:[31, 71, 6, 25], Operations: []
Exploring Operation: 31+71=102, Resulting Numbers: [6, 25, 102]
Generated Node #2: [6, 25, 102] from Operation: 31+71=102
Current State: 48:[6, 25, 102], Operations: ['31+71=102']
Exploring Operation: 6*25=150, Resulting Numbers: [102, 150]
Generated Node #3: [102, 150] from Operation: 6*25=150
Current State: 48:[102, 150], Operations: ['31+71=102', '6*25=150']
Exploring Operation: 150-102=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
28,
21,
20,
92
] | 25 | [
"20+92=112",
"112/28=4",
"21+4=25"
] | Current State: 25:[28, 21, 20, 92], Operations: []
Exploring Operation: 20+92=112, Resulting Numbers: [28, 21, 112]
Generated Node #2: [28, 21, 112] from Operation: 20+92=112
Current State: 25:[28, 21, 112], Operations: ['20+92=112']
Exploring Operation: 112/28=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 112/28=4
Current State: 25:[21, 4], Operations: ['20+92=112', '112/28=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
6,
24,
22,
32
] | 50 | [
"24/6=4",
"22+32=54",
"54-4=50"
] | Current State: 50:[6, 24, 22, 32], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [22, 32, 4]
Generated Node #2: [22, 32, 4] from Operation: 24/6=4
Current State: 50:[22, 32, 4], Operations: ['24/6=4']
Exploring Operation: 22+32=54, Resulting Numbers: [4, 54]
Generated Node #3: [4, 54] from Operation: 22+32=54
Current State: 50:[4, 54], Operations: ['24/6=4', '22+32=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
80,
2,
88,
8
] | 18 | [
"80-2=78",
"88+8=96",
"96-78=18"
] | Current State: 18:[80, 2, 88, 8], Operations: []
Exploring Operation: 80-2=78, Resulting Numbers: [88, 8, 78]
Generated Node #2: [88, 8, 78] from Operation: 80-2=78
Current State: 18:[88, 8, 78], Operations: ['80-2=78']
Exploring Operation: 88+8=96, Resulting Numbers: [78, 96]
Generated Node #3: [78, 96] from Operation: 88+8=96
Current State: 18:[78, 96], Operations: ['80-2=78', '88+8=96']
Exploring Operation: 96-78=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
16,
36,
51,
2
] | 14 | [
"51-36=15",
"2*15=30",
"30-16=14"
] | Current State: 14:[16, 36, 51, 2], Operations: []
Exploring Operation: 51-36=15, Resulting Numbers: [16, 2, 15]
Generated Node #2: [16, 2, 15] from Operation: 51-36=15
Current State: 14:[16, 2, 15], Operations: ['51-36=15']
Exploring Operation: 2*15=30, Resulting Numbers: [16, 30]
Generated Node #3: [16, 30] from Operation: 2*15=30
Current State: 14:[16, 30], Operations: ['51-36=15', '2*15=30']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
93,
83,
55,
25
] | 22 | [
"93-83=10",
"55*10=550",
"550/25=22"
] | Current State: 22:[93, 83, 55, 25], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [55, 25, 10]
Generated Node #2: [55, 25, 10] from Operation: 93-83=10
Current State: 22:[55, 25, 10], Operations: ['93-83=10']
Exploring Operation: 55*10=550, Resulting Numbers: [25, 550]
Generated Node #3: [25, 550] from Operation: 55*10=550
Current State: 22:[25, 550], Operations: ['93-83=10', '55*10=550']
Exploring Operation: 550/25=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
39,
18,
72,
79
] | 10 | [
"79-39=40",
"72/18=4",
"40/4=10"
] | Current State: 10:[39, 18, 72, 79], Operations: []
Exploring Operation: 79-39=40, Resulting Numbers: [18, 72, 40]
Generated Node #2: [18, 72, 40] from Operation: 79-39=40
Current State: 10:[18, 72, 40], Operations: ['79-39=40']
Exploring Operation: 72/18=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 72/18=4
Current State: 10:[40, 4], Operations: ['79-39=40', '72/18=4']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
12,
22,
4,
58
] | 77 | [
"12/4=3",
"22+58=80",
"80-3=77"
] | Current State: 77:[12, 22, 4, 58], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [22, 58, 3]
Generated Node #2: [22, 58, 3] from Operation: 12/4=3
Current State: 77:[22, 58, 3], Operations: ['12/4=3']
Exploring Operation: 22+58=80, Resulting Numbers: [3, 80]
Generated Node #3: [3, 80] from Operation: 22+58=80
Current State: 77:[3, 80], Operations: ['12/4=3', '22+58=80']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
1,
79,
84,
29
] | 34 | [
"1*79=79",
"84+29=113",
"113-79=34"
] | Current State: 34:[1, 79, 84, 29], Operations: []
Exploring Operation: 1*79=79, Resulting Numbers: [84, 29, 79]
Generated Node #2: [84, 29, 79] from Operation: 1*79=79
Current State: 34:[84, 29, 79], Operations: ['1*79=79']
Exploring Operation: 84+29=113, Resulting Numbers: [79, 113]
Generated Node #3: [79, 113] from Operation: 84+29=113
Current State: 34:[79, 113], Operations: ['1*79=79', '84+29=113']
Exploring Operation: 113-79=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
26,
8,
52
] | 84 | [
"34+8=42",
"52/26=2",
"42*2=84"
] | Current State: 84:[34, 26, 8, 52], Operations: []
Exploring Operation: 34+8=42, Resulting Numbers: [26, 52, 42]
Generated Node #2: [26, 52, 42] from Operation: 34+8=42
Current State: 84:[26, 52, 42], Operations: ['34+8=42']
Exploring Operation: 52/26=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 52/26=2
Current State: 84:[42, 2], Operations: ['34+8=42', '52/26=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
76,
96,
84,
64
] | 24 | [
"76+96=172",
"84+64=148",
"172-148=24"
] | Current State: 24:[76, 96, 84, 64], Operations: []
Exploring Operation: 76+96=172, Resulting Numbers: [84, 64, 172]
Generated Node #2: [84, 64, 172] from Operation: 76+96=172
Current State: 24:[84, 64, 172], Operations: ['76+96=172']
Exploring Operation: 84+64=148, Resulting Numbers: [172, 148]
Generated Node #3: [172, 148] from Operation: 84+64=148
Current State: 24:[172, 148], Operations: ['76+96=172', '84+64=148']
Exploring Operation: 172-148=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
47,
77,
56,
82
] | 14 | [
"47+77=124",
"56+82=138",
"138-124=14"
] | Current State: 14:[47, 77, 56, 82], Operations: []
Exploring Operation: 47+77=124, Resulting Numbers: [56, 82, 124]
Generated Node #2: [56, 82, 124] from Operation: 47+77=124
Current State: 14:[56, 82, 124], Operations: ['47+77=124']
Exploring Operation: 56+82=138, Resulting Numbers: [124, 138]
Generated Node #3: [124, 138] from Operation: 56+82=138
Current State: 14:[124, 138], Operations: ['47+77=124', '56+82=138']
Exploring Operation: 138-124=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
9,
22,
75,
33
] | 36 | [
"75-9=66",
"66/22=3",
"33+3=36"
] | Current State: 36:[9, 22, 75, 33], Operations: []
Exploring Operation: 75-9=66, Resulting Numbers: [22, 33, 66]
Generated Node #2: [22, 33, 66] from Operation: 75-9=66
Current State: 36:[22, 33, 66], Operations: ['75-9=66']
Exploring Operation: 66/22=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 66/22=3
Current State: 36:[33, 3], Operations: ['75-9=66', '66/22=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
55,
60,
40,
25
] | 21 | [
"55-40=15",
"60/15=4",
"25-4=21"
] | Current State: 21:[55, 60, 40, 25], Operations: []
Exploring Operation: 55-40=15, Resulting Numbers: [60, 25, 15]
Generated Node #2: [60, 25, 15] from Operation: 55-40=15
Current State: 21:[60, 25, 15], Operations: ['55-40=15']
Exploring Operation: 60/15=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 60/15=4
Current State: 21:[25, 4], Operations: ['55-40=15', '60/15=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
77,
63,
56,
37
] | 79 | [
"77-63=14",
"56+37=93",
"93-14=79"
] | Current State: 79:[77, 63, 56, 37], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [56, 37, 14]
Generated Node #2: [56, 37, 14] from Operation: 77-63=14
Current State: 79:[56, 37, 14], Operations: ['77-63=14']
Exploring Operation: 56+37=93, Resulting Numbers: [14, 93]
Generated Node #3: [14, 93] from Operation: 56+37=93
Current State: 79:[14, 93], Operations: ['77-63=14', '56+37=93']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
86,
75,
20,
56
] | 86 | [
"75-20=55",
"56-55=1",
"86*1=86"
] | Current State: 86:[86, 75, 20, 56], Operations: []
Exploring Operation: 75-20=55, Resulting Numbers: [86, 56, 55]
Generated Node #2: [86, 56, 55] from Operation: 75-20=55
Current State: 86:[86, 56, 55], Operations: ['75-20=55']
Exploring Operation: 56-55=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 56-55=1
Current State: 86:[86, 1], Operations: ['75-20=55', '56-55=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
90,
53,
13,
5
] | 19 | [
"90-53=37",
"13+5=18",
"37-18=19"
] | Current State: 19:[90, 53, 13, 5], Operations: []
Exploring Operation: 90-53=37, Resulting Numbers: [13, 5, 37]
Generated Node #2: [13, 5, 37] from Operation: 90-53=37
Current State: 19:[13, 5, 37], Operations: ['90-53=37']
Exploring Operation: 13+5=18, Resulting Numbers: [37, 18]
Generated Node #3: [37, 18] from Operation: 13+5=18
Current State: 19:[37, 18], Operations: ['90-53=37', '13+5=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
76,
25,
41,
35
] | 49 | [
"76-41=35",
"35*35=1225",
"1225/25=49"
] | Current State: 49:[76, 25, 41, 35], Operations: []
Exploring Operation: 76-41=35, Resulting Numbers: [25, 35, 35]
Generated Node #2: [25, 35, 35] from Operation: 76-41=35
Current State: 49:[25, 35, 35], Operations: ['76-41=35']
Exploring Operation: 35*35=1225, Resulting Numbers: [25, 1225]
Generated Node #3: [25, 1225] from Operation: 35*35=1225
Current State: 49:[25, 1225], Operations: ['76-41=35', '35*35=1225']
Exploring Operation: 1225/25=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
97,
70,
41,
95
] | 58 | [
"97-95=2",
"70-41=29",
"2*29=58"
] | Current State: 58:[97, 70, 41, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [70, 41, 2]
Generated Node #2: [70, 41, 2] from Operation: 97-95=2
Current State: 58:[70, 41, 2], Operations: ['97-95=2']
Exploring Operation: 70-41=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 70-41=29
Current State: 58:[2, 29], Operations: ['97-95=2', '70-41=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
89,
61,
58,
97
] | 62 | [
"89+97=186",
"61-58=3",
"186/3=62"
] | Current State: 62:[89, 61, 58, 97], Operations: []
Exploring Operation: 89+97=186, Resulting Numbers: [61, 58, 186]
Generated Node #2: [61, 58, 186] from Operation: 89+97=186
Current State: 62:[61, 58, 186], Operations: ['89+97=186']
Exploring Operation: 61-58=3, Resulting Numbers: [186, 3]
Generated Node #3: [186, 3] from Operation: 61-58=3
Current State: 62:[186, 3], Operations: ['89+97=186', '61-58=3']
Exploring Operation: 186/3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
71,
80,
51,
76
] | 67 | [
"76-71=5",
"80/5=16",
"51+16=67"
] | Current State: 67:[71, 80, 51, 76], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [80, 51, 5]
Generated Node #2: [80, 51, 5] from Operation: 76-71=5
Current State: 67:[80, 51, 5], Operations: ['76-71=5']
Exploring Operation: 80/5=16, Resulting Numbers: [51, 16]
Generated Node #3: [51, 16] from Operation: 80/5=16
Current State: 67:[51, 16], Operations: ['76-71=5', '80/5=16']
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
28,
84,
36,
97
] | 77 | [
"84-28=56",
"36+97=133",
"133-56=77"
] | Current State: 77:[28, 84, 36, 97], Operations: []
Exploring Operation: 84-28=56, Resulting Numbers: [36, 97, 56]
Generated Node #2: [36, 97, 56] from Operation: 84-28=56
Current State: 77:[36, 97, 56], Operations: ['84-28=56']
Exploring Operation: 36+97=133, Resulting Numbers: [56, 133]
Generated Node #3: [56, 133] from Operation: 36+97=133
Current State: 77:[56, 133], Operations: ['84-28=56', '36+97=133']
Exploring Operation: 133-56=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
83,
80,
72,
88
] | 78 | [
"88-72=16",
"80/16=5",
"83-5=78"
] | Current State: 78:[83, 80, 72, 88], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [83, 80, 16]
Generated Node #2: [83, 80, 16] from Operation: 88-72=16
Current State: 78:[83, 80, 16], Operations: ['88-72=16']
Exploring Operation: 80/16=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 80/16=5
Current State: 78:[83, 5], Operations: ['88-72=16', '80/16=5']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
77,
28,
20,
11
] | 96 | [
"77+28=105",
"20-11=9",
"105-9=96"
] | Current State: 96:[77, 28, 20, 11], Operations: []
Exploring Operation: 77+28=105, Resulting Numbers: [20, 11, 105]
Generated Node #2: [20, 11, 105] from Operation: 77+28=105
Current State: 96:[20, 11, 105], Operations: ['77+28=105']
Exploring Operation: 20-11=9, Resulting Numbers: [105, 9]
Generated Node #3: [105, 9] from Operation: 20-11=9
Current State: 96:[105, 9], Operations: ['77+28=105', '20-11=9']
Exploring Operation: 105-9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
15,
60,
3,
24
] | 54 | [
"15+60=75",
"24-3=21",
"75-21=54"
] | Current State: 54:[15, 60, 3, 24], Operations: []
Exploring Operation: 15+60=75, Resulting Numbers: [3, 24, 75]
Generated Node #2: [3, 24, 75] from Operation: 15+60=75
Current State: 54:[3, 24, 75], Operations: ['15+60=75']
Exploring Operation: 24-3=21, Resulting Numbers: [75, 21]
Generated Node #3: [75, 21] from Operation: 24-3=21
Current State: 54:[75, 21], Operations: ['15+60=75', '24-3=21']
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
35,
15,
20,
36
] | 62 | [
"15*36=540",
"540/20=27",
"35+27=62"
] | Current State: 62:[35, 15, 20, 36], Operations: []
Exploring Operation: 15*36=540, Resulting Numbers: [35, 20, 540]
Generated Node #2: [35, 20, 540] from Operation: 15*36=540
Current State: 62:[35, 20, 540], Operations: ['15*36=540']
Exploring Operation: 540/20=27, Resulting Numbers: [35, 27]
Generated Node #3: [35, 27] from Operation: 540/20=27
Current State: 62:[35, 27], Operations: ['15*36=540', '540/20=27']
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
30,
50,
42,
49
] | 21 | [
"50*42=2100",
"2100/30=70",
"70-49=21"
] | Current State: 21:[30, 50, 42, 49], Operations: []
Exploring Operation: 50*42=2100, Resulting Numbers: [30, 49, 2100]
Generated Node #2: [30, 49, 2100] from Operation: 50*42=2100
Current State: 21:[30, 49, 2100], Operations: ['50*42=2100']
Exploring Operation: 2100/30=70, Resulting Numbers: [49, 70]
Generated Node #3: [49, 70] from Operation: 2100/30=70
Current State: 21:[49, 70], Operations: ['50*42=2100', '2100/30=70']
Exploring Operation: 70-49=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
21,
23,
85,
83
] | 74 | [
"21*85=1785",
"1785-83=1702",
"1702/23=74"
] | Current State: 74:[21, 23, 85, 83], Operations: []
Exploring Operation: 21*85=1785, Resulting Numbers: [23, 83, 1785]
Generated Node #2: [23, 83, 1785] from Operation: 21*85=1785
Current State: 74:[23, 83, 1785], Operations: ['21*85=1785']
Exploring Operation: 1785-83=1702, Resulting Numbers: [23, 1702]
Generated Node #3: [23, 1702] from Operation: 1785-83=1702
Current State: 74:[23, 1702], Operations: ['21*85=1785', '1785-83=1702']
Exploring Operation: 1702/23=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
64,
62,
48,
62
] | 17 | [
"64-62=2",
"62/2=31",
"48-31=17"
] | Current State: 17:[64, 62, 48, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [48, 2]
Generated Node #2: [48, 2] from Operation: 64-62=2
Current State: 17:[48, 2], Operations: ['64-62=2']
Exploring Operation: 62/2=31, Resulting Numbers: [48, 31]
Generated Node #3: [48, 31] from Operation: 62/2=31
Current State: 17:[48, 31], Operations: ['64-62=2', '62/2=31']
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
22,
30,
15,
28
] | 65 | [
"22+30=52",
"28-15=13",
"52+13=65"
] | Current State: 65:[22, 30, 15, 28], Operations: []
Exploring Operation: 22+30=52, Resulting Numbers: [15, 28, 52]
Generated Node #2: [15, 28, 52] from Operation: 22+30=52
Current State: 65:[15, 28, 52], Operations: ['22+30=52']
Exploring Operation: 28-15=13, Resulting Numbers: [52, 13]
Generated Node #3: [52, 13] from Operation: 28-15=13
Current State: 65:[52, 13], Operations: ['22+30=52', '28-15=13']
Exploring Operation: 52+13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
2,
71,
42,
47
] | 81 | [
"47-42=5",
"2*5=10",
"71+10=81"
] | Current State: 81:[2, 71, 42, 47], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [2, 71, 5]
Generated Node #2: [2, 71, 5] from Operation: 47-42=5
Current State: 81:[2, 71, 5], Operations: ['47-42=5']
Exploring Operation: 2*5=10, Resulting Numbers: [71, 10]
Generated Node #3: [71, 10] from Operation: 2*5=10
Current State: 81:[71, 10], Operations: ['47-42=5', '2*5=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
50,
85,
63,
39
] | 60 | [
"63+39=102",
"50*102=5100",
"5100/85=60"
] | Current State: 60:[50, 85, 63, 39], Operations: []
Exploring Operation: 63+39=102, Resulting Numbers: [50, 85, 102]
Generated Node #2: [50, 85, 102] from Operation: 63+39=102
Current State: 60:[50, 85, 102], Operations: ['63+39=102']
Exploring Operation: 50*102=5100, Resulting Numbers: [85, 5100]
Generated Node #3: [85, 5100] from Operation: 50*102=5100
Current State: 60:[85, 5100], Operations: ['63+39=102', '50*102=5100']
Exploring Operation: 5100/85=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
80,
81,
8,
89
] | 98 | [
"81-80=1",
"8+89=97",
"1+97=98"
] | Current State: 98:[80, 81, 8, 89], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [8, 89, 1]
Generated Node #2: [8, 89, 1] from Operation: 81-80=1
Current State: 98:[8, 89, 1], Operations: ['81-80=1']
Exploring Operation: 8+89=97, Resulting Numbers: [1, 97]
Generated Node #3: [1, 97] from Operation: 8+89=97
Current State: 98:[1, 97], Operations: ['81-80=1', '8+89=97']
Exploring Operation: 1+97=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
54,
49,
33,
27
] | 30 | [
"54-49=5",
"33-27=6",
"5*6=30"
] | Current State: 30:[54, 49, 33, 27], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [33, 27, 5]
Generated Node #2: [33, 27, 5] from Operation: 54-49=5
Current State: 30:[33, 27, 5], Operations: ['54-49=5']
Exploring Operation: 33-27=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 33-27=6
Current State: 30:[5, 6], Operations: ['54-49=5', '33-27=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
25,
3,
85,
32
] | 64 | [
"32-25=7",
"3*7=21",
"85-21=64"
] | Current State: 64:[25, 3, 85, 32], Operations: []
Exploring Operation: 32-25=7, Resulting Numbers: [3, 85, 7]
Generated Node #2: [3, 85, 7] from Operation: 32-25=7
Current State: 64:[3, 85, 7], Operations: ['32-25=7']
Exploring Operation: 3*7=21, Resulting Numbers: [85, 21]
Generated Node #3: [85, 21] from Operation: 3*7=21
Current State: 64:[85, 21], Operations: ['32-25=7', '3*7=21']
Exploring Operation: 85-21=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
73,
58,
84,
26
] | 95 | [
"73-58=15",
"84+26=110",
"110-15=95"
] | Current State: 95:[73, 58, 84, 26], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [84, 26, 15]
Generated Node #2: [84, 26, 15] from Operation: 73-58=15
Current State: 95:[84, 26, 15], Operations: ['73-58=15']
Exploring Operation: 84+26=110, Resulting Numbers: [15, 110]
Generated Node #3: [15, 110] from Operation: 84+26=110
Current State: 95:[15, 110], Operations: ['73-58=15', '84+26=110']
Exploring Operation: 110-15=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
12,
30,
90,
57
] | 47 | [
"30+90=120",
"120/12=10",
"57-10=47"
] | Current State: 47:[12, 30, 90, 57], Operations: []
Exploring Operation: 30+90=120, Resulting Numbers: [12, 57, 120]
Generated Node #2: [12, 57, 120] from Operation: 30+90=120
Current State: 47:[12, 57, 120], Operations: ['30+90=120']
Exploring Operation: 120/12=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 120/12=10
Current State: 47:[57, 10], Operations: ['30+90=120', '120/12=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
35,
14,
67,
28
] | 31 | [
"35-28=7",
"14*7=98",
"98-67=31"
] | Current State: 31:[35, 14, 67, 28], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [14, 67, 7]
Generated Node #2: [14, 67, 7] from Operation: 35-28=7
Current State: 31:[14, 67, 7], Operations: ['35-28=7']
Exploring Operation: 14*7=98, Resulting Numbers: [67, 98]
Generated Node #3: [67, 98] from Operation: 14*7=98
Current State: 31:[67, 98], Operations: ['35-28=7', '14*7=98']
Exploring Operation: 98-67=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
78,
73,
73,
55
] | 13 | [
"78-73=5",
"73-55=18",
"18-5=13"
] | Current State: 13:[78, 73, 73, 55], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [55, 5]
Generated Node #2: [55, 5] from Operation: 78-73=5
Current State: 13:[55, 5], Operations: ['78-73=5']
Exploring Operation: 73-55=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 73-55=18
Current State: 13:[5, 18], Operations: ['78-73=5', '73-55=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
68,
29,
83,
65
] | 79 | [
"68+29=97",
"83-65=18",
"97-18=79"
] | Current State: 79:[68, 29, 83, 65], Operations: []
Exploring Operation: 68+29=97, Resulting Numbers: [83, 65, 97]
Generated Node #2: [83, 65, 97] from Operation: 68+29=97
Current State: 79:[83, 65, 97], Operations: ['68+29=97']
Exploring Operation: 83-65=18, Resulting Numbers: [97, 18]
Generated Node #3: [97, 18] from Operation: 83-65=18
Current State: 79:[97, 18], Operations: ['68+29=97', '83-65=18']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
37,
59,
74,
53
] | 47 | [
"74/37=2",
"53*2=106",
"106-59=47"
] | Current State: 47:[37, 59, 74, 53], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [59, 53, 2]
Generated Node #2: [59, 53, 2] from Operation: 74/37=2
Current State: 47:[59, 53, 2], Operations: ['74/37=2']
Exploring Operation: 53*2=106, Resulting Numbers: [59, 106]
Generated Node #3: [59, 106] from Operation: 53*2=106
Current State: 47:[59, 106], Operations: ['74/37=2', '53*2=106']
Exploring Operation: 106-59=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
42,
34,
44,
96
] | 60 | [
"42-34=8",
"96-44=52",
"8+52=60"
] | Current State: 60:[42, 34, 44, 96], Operations: []
Exploring Operation: 42-34=8, Resulting Numbers: [44, 96, 8]
Generated Node #2: [44, 96, 8] from Operation: 42-34=8
Current State: 60:[44, 96, 8], Operations: ['42-34=8']
Exploring Operation: 96-44=52, Resulting Numbers: [8, 52]
Generated Node #3: [8, 52] from Operation: 96-44=52
Current State: 60:[8, 52], Operations: ['42-34=8', '96-44=52']
Exploring Operation: 8+52=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
48,
26,
78,
77
] | 93 | [
"48*26=1248",
"1248/78=16",
"77+16=93"
] | Current State: 93:[48, 26, 78, 77], Operations: []
Exploring Operation: 48*26=1248, Resulting Numbers: [78, 77, 1248]
Generated Node #2: [78, 77, 1248] from Operation: 48*26=1248
Current State: 93:[78, 77, 1248], Operations: ['48*26=1248']
Exploring Operation: 1248/78=16, Resulting Numbers: [77, 16]
Generated Node #3: [77, 16] from Operation: 1248/78=16
Current State: 93:[77, 16], Operations: ['48*26=1248', '1248/78=16']
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
10,
3,
2,
89
] | 13 | [
"10-3=7",
"2+89=91",
"91/7=13"
] | Current State: 13:[10, 3, 2, 89], Operations: []
Exploring Operation: 10-3=7, Resulting Numbers: [2, 89, 7]
Generated Node #2: [2, 89, 7] from Operation: 10-3=7
Current State: 13:[2, 89, 7], Operations: ['10-3=7']
Exploring Operation: 2+89=91, Resulting Numbers: [7, 91]
Generated Node #3: [7, 91] from Operation: 2+89=91
Current State: 13:[7, 91], Operations: ['10-3=7', '2+89=91']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
48,
83,
35,
39
] | 71 | [
"39-35=4",
"48/4=12",
"83-12=71"
] | Current State: 71:[48, 83, 35, 39], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [48, 83, 4]
Generated Node #2: [48, 83, 4] from Operation: 39-35=4
Current State: 71:[48, 83, 4], Operations: ['39-35=4']
Exploring Operation: 48/4=12, Resulting Numbers: [83, 12]
Generated Node #3: [83, 12] from Operation: 48/4=12
Current State: 71:[83, 12], Operations: ['39-35=4', '48/4=12']
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
31,
40,
5,
37
] | 78 | [
"31*5=155",
"40+37=77",
"155-77=78"
] | Current State: 78:[31, 40, 5, 37], Operations: []
Exploring Operation: 31*5=155, Resulting Numbers: [40, 37, 155]
Generated Node #2: [40, 37, 155] from Operation: 31*5=155
Current State: 78:[40, 37, 155], Operations: ['31*5=155']
Exploring Operation: 40+37=77, Resulting Numbers: [155, 77]
Generated Node #3: [155, 77] from Operation: 40+37=77
Current State: 78:[155, 77], Operations: ['31*5=155', '40+37=77']
Exploring Operation: 155-77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
76,
93,
91,
18
] | 85 | [
"93-91=2",
"18/2=9",
"76+9=85"
] | Current State: 85:[76, 93, 91, 18], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [76, 18, 2]
Generated Node #2: [76, 18, 2] from Operation: 93-91=2
Current State: 85:[76, 18, 2], Operations: ['93-91=2']
Exploring Operation: 18/2=9, Resulting Numbers: [76, 9]
Generated Node #3: [76, 9] from Operation: 18/2=9
Current State: 85:[76, 9], Operations: ['93-91=2', '18/2=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
34,
51,
14,
2
] | 75 | [
"34+14=48",
"48/2=24",
"51+24=75"
] | Current State: 75:[34, 51, 14, 2], Operations: []
Exploring Operation: 34+14=48, Resulting Numbers: [51, 2, 48]
Generated Node #2: [51, 2, 48] from Operation: 34+14=48
Current State: 75:[51, 2, 48], Operations: ['34+14=48']
Exploring Operation: 48/2=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 48/2=24
Current State: 75:[51, 24], Operations: ['34+14=48', '48/2=24']
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
18,
84,
26,
75
] | 53 | [
"18+84=102",
"75-26=49",
"102-49=53"
] | Current State: 53:[18, 84, 26, 75], Operations: []
Exploring Operation: 18+84=102, Resulting Numbers: [26, 75, 102]
Generated Node #2: [26, 75, 102] from Operation: 18+84=102
Current State: 53:[26, 75, 102], Operations: ['18+84=102']
Exploring Operation: 75-26=49, Resulting Numbers: [102, 49]
Generated Node #3: [102, 49] from Operation: 75-26=49
Current State: 53:[102, 49], Operations: ['18+84=102', '75-26=49']
Exploring Operation: 102-49=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
57,
95,
81,
68
] | 60 | [
"95-68=27",
"81/27=3",
"57+3=60"
] | Current State: 60:[57, 95, 81, 68], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [57, 81, 27]
Generated Node #2: [57, 81, 27] from Operation: 95-68=27
Current State: 60:[57, 81, 27], Operations: ['95-68=27']
Exploring Operation: 81/27=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 81/27=3
Current State: 60:[57, 3], Operations: ['95-68=27', '81/27=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
3,
1,
1,
12
] | 52 | [
"3+1=4",
"1+12=13",
"4*13=52"
] | Current State: 52:[3, 1, 1, 12], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [12, 4]
Generated Node #2: [12, 4] from Operation: 3+1=4
Current State: 52:[12, 4], Operations: ['3+1=4']
Exploring Operation: 1+12=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 1+12=13
Current State: 52:[4, 13], Operations: ['3+1=4', '1+12=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
83,
26,
91,
17
] | 51 | [
"83-26=57",
"91+17=108",
"108-57=51"
] | Current State: 51:[83, 26, 91, 17], Operations: []
Exploring Operation: 83-26=57, Resulting Numbers: [91, 17, 57]
Generated Node #2: [91, 17, 57] from Operation: 83-26=57
Current State: 51:[91, 17, 57], Operations: ['83-26=57']
Exploring Operation: 91+17=108, Resulting Numbers: [57, 108]
Generated Node #3: [57, 108] from Operation: 91+17=108
Current State: 51:[57, 108], Operations: ['83-26=57', '91+17=108']
Exploring Operation: 108-57=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
10,
70,
6,
1
] | 48 | [
"70/10=7",
"1+7=8",
"6*8=48"
] | Current State: 48:[10, 70, 6, 1], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [6, 1, 7]
Generated Node #2: [6, 1, 7] from Operation: 70/10=7
Current State: 48:[6, 1, 7], Operations: ['70/10=7']
Exploring Operation: 1+7=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 1+7=8
Current State: 48:[6, 8], Operations: ['70/10=7', '1+7=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
89,
76,
3,
70
] | 98 | [
"89+76=165",
"70-3=67",
"165-67=98"
] | Current State: 98:[89, 76, 3, 70], Operations: []
Exploring Operation: 89+76=165, Resulting Numbers: [3, 70, 165]
Generated Node #2: [3, 70, 165] from Operation: 89+76=165
Current State: 98:[3, 70, 165], Operations: ['89+76=165']
Exploring Operation: 70-3=67, Resulting Numbers: [165, 67]
Generated Node #3: [165, 67] from Operation: 70-3=67
Current State: 98:[165, 67], Operations: ['89+76=165', '70-3=67']
Exploring Operation: 165-67=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
96,
88,
46,
42
] | 38 | [
"96+88=184",
"184/46=4",
"42-4=38"
] | Current State: 38:[96, 88, 46, 42], Operations: []
Exploring Operation: 96+88=184, Resulting Numbers: [46, 42, 184]
Generated Node #2: [46, 42, 184] from Operation: 96+88=184
Current State: 38:[46, 42, 184], Operations: ['96+88=184']
Exploring Operation: 184/46=4, Resulting Numbers: [42, 4]
Generated Node #3: [42, 4] from Operation: 184/46=4
Current State: 38:[42, 4], Operations: ['96+88=184', '184/46=4']
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
18,
2,
51,
39
] | 36 | [
"51-18=33",
"39+33=72",
"72/2=36"
] | Current State: 36:[18, 2, 51, 39], Operations: []
Exploring Operation: 51-18=33, Resulting Numbers: [2, 39, 33]
Generated Node #2: [2, 39, 33] from Operation: 51-18=33
Current State: 36:[2, 39, 33], Operations: ['51-18=33']
Exploring Operation: 39+33=72, Resulting Numbers: [2, 72]
Generated Node #3: [2, 72] from Operation: 39+33=72
Current State: 36:[2, 72], Operations: ['51-18=33', '39+33=72']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
20,
79,
48,
55
] | 92 | [
"20+79=99",
"55-48=7",
"99-7=92"
] | Current State: 92:[20, 79, 48, 55], Operations: []
Exploring Operation: 20+79=99, Resulting Numbers: [48, 55, 99]
Generated Node #2: [48, 55, 99] from Operation: 20+79=99
Current State: 92:[48, 55, 99], Operations: ['20+79=99']
Exploring Operation: 55-48=7, Resulting Numbers: [99, 7]
Generated Node #3: [99, 7] from Operation: 55-48=7
Current State: 92:[99, 7], Operations: ['20+79=99', '55-48=7']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
61,
10,
20,
74
] | 98 | [
"20/10=2",
"74/2=37",
"61+37=98"
] | Current State: 98:[61, 10, 20, 74], Operations: []
Exploring Operation: 20/10=2, Resulting Numbers: [61, 74, 2]
Generated Node #2: [61, 74, 2] from Operation: 20/10=2
Current State: 98:[61, 74, 2], Operations: ['20/10=2']
Exploring Operation: 74/2=37, Resulting Numbers: [61, 37]
Generated Node #3: [61, 37] from Operation: 74/2=37
Current State: 98:[61, 37], Operations: ['20/10=2', '74/2=37']
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
2,
44,
84,
77
] | 96 | [
"2*44=88",
"84*88=7392",
"7392/77=96"
] | Current State: 96:[2, 44, 84, 77], Operations: []
Exploring Operation: 2*44=88, Resulting Numbers: [84, 77, 88]
Generated Node #2: [84, 77, 88] from Operation: 2*44=88
Current State: 96:[84, 77, 88], Operations: ['2*44=88']
Exploring Operation: 84*88=7392, Resulting Numbers: [77, 7392]
Generated Node #3: [77, 7392] from Operation: 84*88=7392
Current State: 96:[77, 7392], Operations: ['2*44=88', '84*88=7392']
Exploring Operation: 7392/77=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
30,
17,
19,
68
] | 44 | [
"30-19=11",
"68/17=4",
"11*4=44"
] | Current State: 44:[30, 17, 19, 68], Operations: []
Exploring Operation: 30-19=11, Resulting Numbers: [17, 68, 11]
Generated Node #2: [17, 68, 11] from Operation: 30-19=11
Current State: 44:[17, 68, 11], Operations: ['30-19=11']
Exploring Operation: 68/17=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 68/17=4
Current State: 44:[11, 4], Operations: ['30-19=11', '68/17=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
7,
20,
81,
40
] | 59 | [
"40-20=20",
"7*20=140",
"140-81=59"
] | Current State: 59:[7, 20, 81, 40], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [7, 81, 20]
Generated Node #2: [7, 81, 20] from Operation: 40-20=20
Current State: 59:[7, 81, 20], Operations: ['40-20=20']
Exploring Operation: 7*20=140, Resulting Numbers: [81, 140]
Generated Node #3: [81, 140] from Operation: 7*20=140
Current State: 59:[81, 140], Operations: ['40-20=20', '7*20=140']
Exploring Operation: 140-81=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
9,
28,
71,
9
] | 38 | [
"9*9=81",
"71-28=43",
"81-43=38"
] | Current State: 38:[9, 28, 71, 9], Operations: []
Exploring Operation: 9*9=81, Resulting Numbers: [28, 71, 81]
Generated Node #2: [28, 71, 81] from Operation: 9*9=81
Current State: 38:[28, 71, 81], Operations: ['9*9=81']
Exploring Operation: 71-28=43, Resulting Numbers: [81, 43]
Generated Node #3: [81, 43] from Operation: 71-28=43
Current State: 38:[81, 43], Operations: ['9*9=81', '71-28=43']
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
27,
3,
3,
24
] | 63 | [
"27/3=9",
"3*24=72",
"72-9=63"
] | Current State: 63:[27, 3, 3, 24], Operations: []
Exploring Operation: 27/3=9, Resulting Numbers: [24, 9]
Generated Node #2: [24, 9] from Operation: 27/3=9
Current State: 63:[24, 9], Operations: ['27/3=9']
Exploring Operation: 3*24=72, Resulting Numbers: [9, 72]
Generated Node #3: [9, 72] from Operation: 3*24=72
Current State: 63:[9, 72], Operations: ['27/3=9', '3*24=72']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
67,
14,
68,
33
] | 28 | [
"67-33=34",
"14*68=952",
"952/34=28"
] | Current State: 28:[67, 14, 68, 33], Operations: []
Exploring Operation: 67-33=34, Resulting Numbers: [14, 68, 34]
Generated Node #2: [14, 68, 34] from Operation: 67-33=34
Current State: 28:[14, 68, 34], Operations: ['67-33=34']
Exploring Operation: 14*68=952, Resulting Numbers: [34, 952]
Generated Node #3: [34, 952] from Operation: 14*68=952
Current State: 28:[34, 952], Operations: ['67-33=34', '14*68=952']
Exploring Operation: 952/34=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
38,
66,
71,
33
] | 66 | [
"38+66=104",
"71-33=38",
"104-38=66"
] | Current State: 66:[38, 66, 71, 33], Operations: []
Exploring Operation: 38+66=104, Resulting Numbers: [71, 33, 104]
Generated Node #2: [71, 33, 104] from Operation: 38+66=104
Current State: 66:[71, 33, 104], Operations: ['38+66=104']
Exploring Operation: 71-33=38, Resulting Numbers: [104, 38]
Generated Node #3: [104, 38] from Operation: 71-33=38
Current State: 66:[104, 38], Operations: ['38+66=104', '71-33=38']
Exploring Operation: 104-38=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
93,
92,
87,
63
] | 24 | [
"93-92=1",
"87-63=24",
"1*24=24"
] | Current State: 24:[93, 92, 87, 63], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [87, 63, 1]
Generated Node #2: [87, 63, 1] from Operation: 93-92=1
Current State: 24:[87, 63, 1], Operations: ['93-92=1']
Exploring Operation: 87-63=24, Resulting Numbers: [1, 24]
Generated Node #3: [1, 24] from Operation: 87-63=24
Current State: 24:[1, 24], Operations: ['93-92=1', '87-63=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
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