nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
12,
18,
40,
14
] | 22 | [
"18-14=4",
"40/4=10",
"12+10=22"
] | Current State: 22:[12, 18, 40, 14], Operations: []
Exploring Operation: 18-14=4, Resulting Numbers: [12, 40, 4]
Generated Node #2: [12, 40, 4] from Operation: 18-14=4
Current State: 22:[12, 40, 4], Operations: ['18-14=4']
Exploring Operation: 40/4=10, Resulting Numbers: [12, 10]
Generated Node #3: [12, 10] from Operation: 40/4=10
Current State: 22:[12, 10], Operations: ['18-14=4', '40/4=10']
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
61,
17,
15,
65
] | 43 | [
"65-61=4",
"15*4=60",
"60-17=43"
] | Current State: 43:[61, 17, 15, 65], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [17, 15, 4]
Generated Node #2: [17, 15, 4] from Operation: 65-61=4
Current State: 43:[17, 15, 4], Operations: ['65-61=4']
Exploring Operation: 15*4=60, Resulting Numbers: [17, 60]
Generated Node #3: [17, 60] from Operation: 15*4=60
Current State: 43:[17, 60], Operations: ['65-61=4', '15*4=60']
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
38,
15,
5,
68
] | 96 | [
"38-15=23",
"5+68=73",
"23+73=96"
] | Current State: 96:[38, 15, 5, 68], Operations: []
Exploring Operation: 38-15=23, Resulting Numbers: [5, 68, 23]
Generated Node #2: [5, 68, 23] from Operation: 38-15=23
Current State: 96:[5, 68, 23], Operations: ['38-15=23']
Exploring Operation: 5+68=73, Resulting Numbers: [23, 73]
Generated Node #3: [23, 73] from Operation: 5+68=73
Current State: 96:[23, 73], Operations: ['38-15=23', '5+68=73']
Exploring Operation: 23+73=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
20,
18,
29,
90
] | 71 | [
"20*90=1800",
"1800/18=100",
"100-29=71"
] | Current State: 71:[20, 18, 29, 90], Operations: []
Exploring Operation: 20*90=1800, Resulting Numbers: [18, 29, 1800]
Generated Node #2: [18, 29, 1800] from Operation: 20*90=1800
Current State: 71:[18, 29, 1800], Operations: ['20*90=1800']
Exploring Operation: 1800/18=100, Resulting Numbers: [29, 100]
Generated Node #3: [29, 100] from Operation: 1800/18=100
Current State: 71:[29, 100], Operations: ['20*90=1800', '1800/18=100']
Exploring Operation: 100-29=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
59,
16,
21,
3
] | 46 | [
"59+16=75",
"75/3=25",
"21+25=46"
] | Current State: 46:[59, 16, 21, 3], Operations: []
Exploring Operation: 59+16=75, Resulting Numbers: [21, 3, 75]
Generated Node #2: [21, 3, 75] from Operation: 59+16=75
Current State: 46:[21, 3, 75], Operations: ['59+16=75']
Exploring Operation: 75/3=25, Resulting Numbers: [21, 25]
Generated Node #3: [21, 25] from Operation: 75/3=25
Current State: 46:[21, 25], Operations: ['59+16=75', '75/3=25']
Exploring Operation: 21+25=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
96,
35,
60,
67
] | 68 | [
"96-35=61",
"67-60=7",
"61+7=68"
] | Current State: 68:[96, 35, 60, 67], Operations: []
Exploring Operation: 96-35=61, Resulting Numbers: [60, 67, 61]
Generated Node #2: [60, 67, 61] from Operation: 96-35=61
Current State: 68:[60, 67, 61], Operations: ['96-35=61']
Exploring Operation: 67-60=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 67-60=7
Current State: 68:[61, 7], Operations: ['96-35=61', '67-60=7']
Exploring Operation: 61+7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
24,
90,
19,
33
] | 39 | [
"24+90=114",
"114/19=6",
"33+6=39"
] | Current State: 39:[24, 90, 19, 33], Operations: []
Exploring Operation: 24+90=114, Resulting Numbers: [19, 33, 114]
Generated Node #2: [19, 33, 114] from Operation: 24+90=114
Current State: 39:[19, 33, 114], Operations: ['24+90=114']
Exploring Operation: 114/19=6, Resulting Numbers: [33, 6]
Generated Node #3: [33, 6] from Operation: 114/19=6
Current State: 39:[33, 6], Operations: ['24+90=114', '114/19=6']
Exploring Operation: 33+6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
20,
30,
84,
30
] | 84 | [
"30-30=0",
"20*0=0",
"84+0=84"
] | Current State: 84:[20, 30, 84, 30], Operations: []
Exploring Operation: 30-30=0, Resulting Numbers: [20, 84, 0]
Generated Node #2: [20, 84, 0] from Operation: 30-30=0
Current State: 84:[20, 84, 0], Operations: ['30-30=0']
Exploring Operation: 20*0=0, Resulting Numbers: [84, 0]
Generated Node #3: [84, 0] from Operation: 20*0=0
Current State: 84:[84, 0], Operations: ['30-30=0', '20*0=0']
Exploring Operation: 84+0=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
4,
2,
41,
34
] | 67 | [
"4*2=8",
"41+34=75",
"75-8=67"
] | Current State: 67:[4, 2, 41, 34], Operations: []
Exploring Operation: 4*2=8, Resulting Numbers: [41, 34, 8]
Generated Node #2: [41, 34, 8] from Operation: 4*2=8
Current State: 67:[41, 34, 8], Operations: ['4*2=8']
Exploring Operation: 41+34=75, Resulting Numbers: [8, 75]
Generated Node #3: [8, 75] from Operation: 41+34=75
Current State: 67:[8, 75], Operations: ['4*2=8', '41+34=75']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
4,
9,
61,
34
] | 62 | [
"4*61=244",
"9*34=306",
"306-244=62"
] | Current State: 62:[4, 9, 61, 34], Operations: []
Exploring Operation: 4*61=244, Resulting Numbers: [9, 34, 244]
Generated Node #2: [9, 34, 244] from Operation: 4*61=244
Current State: 62:[9, 34, 244], Operations: ['4*61=244']
Exploring Operation: 9*34=306, Resulting Numbers: [244, 306]
Generated Node #3: [244, 306] from Operation: 9*34=306
Current State: 62:[244, 306], Operations: ['4*61=244', '9*34=306']
Exploring Operation: 306-244=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
75,
6,
7,
36
] | 62 | [
"75-7=68",
"36/6=6",
"68-6=62"
] | Current State: 62:[75, 6, 7, 36], Operations: []
Exploring Operation: 75-7=68, Resulting Numbers: [6, 36, 68]
Generated Node #2: [6, 36, 68] from Operation: 75-7=68
Current State: 62:[6, 36, 68], Operations: ['75-7=68']
Exploring Operation: 36/6=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 36/6=6
Current State: 62:[68, 6], Operations: ['75-7=68', '36/6=6']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
53,
1,
53,
13
] | 14 | [
"53+1=54",
"53-13=40",
"54-40=14"
] | Current State: 14:[53, 1, 53, 13], Operations: []
Exploring Operation: 53+1=54, Resulting Numbers: [13, 54]
Generated Node #2: [13, 54] from Operation: 53+1=54
Current State: 14:[13, 54], Operations: ['53+1=54']
Exploring Operation: 53-13=40, Resulting Numbers: [54, 40]
Generated Node #3: [54, 40] from Operation: 53-13=40
Current State: 14:[54, 40], Operations: ['53+1=54', '53-13=40']
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
20,
93,
31,
65
] | 17 | [
"20+93=113",
"31+65=96",
"113-96=17"
] | Current State: 17:[20, 93, 31, 65], Operations: []
Exploring Operation: 20+93=113, Resulting Numbers: [31, 65, 113]
Generated Node #2: [31, 65, 113] from Operation: 20+93=113
Current State: 17:[31, 65, 113], Operations: ['20+93=113']
Exploring Operation: 31+65=96, Resulting Numbers: [113, 96]
Generated Node #3: [113, 96] from Operation: 31+65=96
Current State: 17:[113, 96], Operations: ['20+93=113', '31+65=96']
Exploring Operation: 113-96=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
79,
55,
12,
44
] | 78 | [
"79+55=134",
"12+44=56",
"134-56=78"
] | Current State: 78:[79, 55, 12, 44], Operations: []
Exploring Operation: 79+55=134, Resulting Numbers: [12, 44, 134]
Generated Node #2: [12, 44, 134] from Operation: 79+55=134
Current State: 78:[12, 44, 134], Operations: ['79+55=134']
Exploring Operation: 12+44=56, Resulting Numbers: [134, 56]
Generated Node #3: [134, 56] from Operation: 12+44=56
Current State: 78:[134, 56], Operations: ['79+55=134', '12+44=56']
Exploring Operation: 134-56=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
13,
97,
81,
11
] | 40 | [
"13+97=110",
"81-11=70",
"110-70=40"
] | Current State: 40:[13, 97, 81, 11], Operations: []
Exploring Operation: 13+97=110, Resulting Numbers: [81, 11, 110]
Generated Node #2: [81, 11, 110] from Operation: 13+97=110
Current State: 40:[81, 11, 110], Operations: ['13+97=110']
Exploring Operation: 81-11=70, Resulting Numbers: [110, 70]
Generated Node #3: [110, 70] from Operation: 81-11=70
Current State: 40:[110, 70], Operations: ['13+97=110', '81-11=70']
Exploring Operation: 110-70=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
2,
49,
28,
12
] | 98 | [
"28/2=14",
"14-12=2",
"49*2=98"
] | Current State: 98:[2, 49, 28, 12], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [49, 12, 14]
Generated Node #2: [49, 12, 14] from Operation: 28/2=14
Current State: 98:[49, 12, 14], Operations: ['28/2=14']
Exploring Operation: 14-12=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 14-12=2
Current State: 98:[49, 2], Operations: ['28/2=14', '14-12=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
88,
9,
74,
2
] | 78 | [
"9+74=83",
"2*83=166",
"166-88=78"
] | Current State: 78:[88, 9, 74, 2], Operations: []
Exploring Operation: 9+74=83, Resulting Numbers: [88, 2, 83]
Generated Node #2: [88, 2, 83] from Operation: 9+74=83
Current State: 78:[88, 2, 83], Operations: ['9+74=83']
Exploring Operation: 2*83=166, Resulting Numbers: [88, 166]
Generated Node #3: [88, 166] from Operation: 2*83=166
Current State: 78:[88, 166], Operations: ['9+74=83', '2*83=166']
Exploring Operation: 166-88=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
2,
57,
12,
23
] | 92 | [
"57+12=69",
"69-23=46",
"2*46=92"
] | Current State: 92:[2, 57, 12, 23], Operations: []
Exploring Operation: 57+12=69, Resulting Numbers: [2, 23, 69]
Generated Node #2: [2, 23, 69] from Operation: 57+12=69
Current State: 92:[2, 23, 69], Operations: ['57+12=69']
Exploring Operation: 69-23=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 69-23=46
Current State: 92:[2, 46], Operations: ['57+12=69', '69-23=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
2,
53,
53,
62
] | 65 | [
"2+62=64",
"53/53=1",
"64+1=65"
] | Current State: 65:[2, 53, 53, 62], Operations: []
Exploring Operation: 2+62=64, Resulting Numbers: [53, 53, 64]
Generated Node #2: [53, 53, 64] from Operation: 2+62=64
Current State: 65:[53, 53, 64], Operations: ['2+62=64']
Exploring Operation: 53/53=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 53/53=1
Current State: 65:[64, 1], Operations: ['2+62=64', '53/53=1']
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
16,
9,
85,
26
] | 86 | [
"16+9=25",
"85+26=111",
"111-25=86"
] | Current State: 86:[16, 9, 85, 26], Operations: []
Exploring Operation: 16+9=25, Resulting Numbers: [85, 26, 25]
Generated Node #2: [85, 26, 25] from Operation: 16+9=25
Current State: 86:[85, 26, 25], Operations: ['16+9=25']
Exploring Operation: 85+26=111, Resulting Numbers: [25, 111]
Generated Node #3: [25, 111] from Operation: 85+26=111
Current State: 86:[25, 111], Operations: ['16+9=25', '85+26=111']
Exploring Operation: 111-25=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
87,
25,
1,
44
] | 23 | [
"87+1=88",
"88/44=2",
"25-2=23"
] | Current State: 23:[87, 25, 1, 44], Operations: []
Exploring Operation: 87+1=88, Resulting Numbers: [25, 44, 88]
Generated Node #2: [25, 44, 88] from Operation: 87+1=88
Current State: 23:[25, 44, 88], Operations: ['87+1=88']
Exploring Operation: 88/44=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 88/44=2
Current State: 23:[25, 2], Operations: ['87+1=88', '88/44=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
10,
57,
79,
68
] | 100 | [
"57-10=47",
"79+68=147",
"147-47=100"
] | Current State: 100:[10, 57, 79, 68], Operations: []
Exploring Operation: 57-10=47, Resulting Numbers: [79, 68, 47]
Generated Node #2: [79, 68, 47] from Operation: 57-10=47
Current State: 100:[79, 68, 47], Operations: ['57-10=47']
Exploring Operation: 79+68=147, Resulting Numbers: [47, 147]
Generated Node #3: [47, 147] from Operation: 79+68=147
Current State: 100:[47, 147], Operations: ['57-10=47', '79+68=147']
Exploring Operation: 147-47=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
10,
63,
36,
18
] | 81 | [
"10+18=28",
"63*36=2268",
"2268/28=81"
] | Current State: 81:[10, 63, 36, 18], Operations: []
Exploring Operation: 10+18=28, Resulting Numbers: [63, 36, 28]
Generated Node #2: [63, 36, 28] from Operation: 10+18=28
Current State: 81:[63, 36, 28], Operations: ['10+18=28']
Exploring Operation: 63*36=2268, Resulting Numbers: [28, 2268]
Generated Node #3: [28, 2268] from Operation: 63*36=2268
Current State: 81:[28, 2268], Operations: ['10+18=28', '63*36=2268']
Exploring Operation: 2268/28=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
91,
97,
99,
49
] | 44 | [
"97-91=6",
"99-49=50",
"50-6=44"
] | Current State: 44:[91, 97, 99, 49], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [99, 49, 6]
Generated Node #2: [99, 49, 6] from Operation: 97-91=6
Current State: 44:[99, 49, 6], Operations: ['97-91=6']
Exploring Operation: 99-49=50, Resulting Numbers: [6, 50]
Generated Node #3: [6, 50] from Operation: 99-49=50
Current State: 44:[6, 50], Operations: ['97-91=6', '99-49=50']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
42,
4,
4,
3
] | 30 | [
"42/3=14",
"4*4=16",
"14+16=30"
] | Current State: 30:[42, 4, 4, 3], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [4, 4, 14]
Generated Node #2: [4, 4, 14] from Operation: 42/3=14
Current State: 30:[4, 4, 14], Operations: ['42/3=14']
Exploring Operation: 4*4=16, Resulting Numbers: [14, 16]
Generated Node #3: [14, 16] from Operation: 4*4=16
Current State: 30:[14, 16], Operations: ['42/3=14', '4*4=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
98,
30,
38,
18
] | 72 | [
"98+30=128",
"38+18=56",
"128-56=72"
] | Current State: 72:[98, 30, 38, 18], Operations: []
Exploring Operation: 98+30=128, Resulting Numbers: [38, 18, 128]
Generated Node #2: [38, 18, 128] from Operation: 98+30=128
Current State: 72:[38, 18, 128], Operations: ['98+30=128']
Exploring Operation: 38+18=56, Resulting Numbers: [128, 56]
Generated Node #3: [128, 56] from Operation: 38+18=56
Current State: 72:[128, 56], Operations: ['98+30=128', '38+18=56']
Exploring Operation: 128-56=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
47,
76,
69,
21
] | 100 | [
"76-69=7",
"21*7=147",
"147-47=100"
] | Current State: 100:[47, 76, 69, 21], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [47, 21, 7]
Generated Node #2: [47, 21, 7] from Operation: 76-69=7
Current State: 100:[47, 21, 7], Operations: ['76-69=7']
Exploring Operation: 21*7=147, Resulting Numbers: [47, 147]
Generated Node #3: [47, 147] from Operation: 21*7=147
Current State: 100:[47, 147], Operations: ['76-69=7', '21*7=147']
Exploring Operation: 147-47=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
58,
8,
76
] | 59 | [
"84-8=76",
"76/76=1",
"58+1=59"
] | Current State: 59:[84, 58, 8, 76], Operations: []
Exploring Operation: 84-8=76, Resulting Numbers: [58, 76, 76]
Generated Node #2: [58, 76, 76] from Operation: 84-8=76
Current State: 59:[58, 76, 76], Operations: ['84-8=76']
Exploring Operation: 76/76=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 76/76=1
Current State: 59:[58, 1], Operations: ['84-8=76', '76/76=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
41,
13,
2,
44
] | 70 | [
"41-13=28",
"44-2=42",
"28+42=70"
] | Current State: 70:[41, 13, 2, 44], Operations: []
Exploring Operation: 41-13=28, Resulting Numbers: [2, 44, 28]
Generated Node #2: [2, 44, 28] from Operation: 41-13=28
Current State: 70:[2, 44, 28], Operations: ['41-13=28']
Exploring Operation: 44-2=42, Resulting Numbers: [28, 42]
Generated Node #3: [28, 42] from Operation: 44-2=42
Current State: 70:[28, 42], Operations: ['41-13=28', '44-2=42']
Exploring Operation: 28+42=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
55,
91,
69,
85
] | 84 | [
"69-55=14",
"91-85=6",
"14*6=84"
] | Current State: 84:[55, 91, 69, 85], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [91, 85, 14]
Generated Node #2: [91, 85, 14] from Operation: 69-55=14
Current State: 84:[91, 85, 14], Operations: ['69-55=14']
Exploring Operation: 91-85=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 91-85=6
Current State: 84:[14, 6], Operations: ['69-55=14', '91-85=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
41,
2,
58,
64
] | 79 | [
"41+2=43",
"58+64=122",
"122-43=79"
] | Current State: 79:[41, 2, 58, 64], Operations: []
Exploring Operation: 41+2=43, Resulting Numbers: [58, 64, 43]
Generated Node #2: [58, 64, 43] from Operation: 41+2=43
Current State: 79:[58, 64, 43], Operations: ['41+2=43']
Exploring Operation: 58+64=122, Resulting Numbers: [43, 122]
Generated Node #3: [43, 122] from Operation: 58+64=122
Current State: 79:[43, 122], Operations: ['41+2=43', '58+64=122']
Exploring Operation: 122-43=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
68,
66,
17,
88
] | 22 | [
"68+17=85",
"88-85=3",
"66/3=22"
] | Current State: 22:[68, 66, 17, 88], Operations: []
Exploring Operation: 68+17=85, Resulting Numbers: [66, 88, 85]
Generated Node #2: [66, 88, 85] from Operation: 68+17=85
Current State: 22:[66, 88, 85], Operations: ['68+17=85']
Exploring Operation: 88-85=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 88-85=3
Current State: 22:[66, 3], Operations: ['68+17=85', '88-85=3']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
16,
92,
56,
1
] | 51 | [
"16+92=108",
"56+1=57",
"108-57=51"
] | Current State: 51:[16, 92, 56, 1], Operations: []
Exploring Operation: 16+92=108, Resulting Numbers: [56, 1, 108]
Generated Node #2: [56, 1, 108] from Operation: 16+92=108
Current State: 51:[56, 1, 108], Operations: ['16+92=108']
Exploring Operation: 56+1=57, Resulting Numbers: [108, 57]
Generated Node #3: [108, 57] from Operation: 56+1=57
Current State: 51:[108, 57], Operations: ['16+92=108', '56+1=57']
Exploring Operation: 108-57=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
46,
21,
97,
4
] | 76 | [
"46-21=25",
"97+4=101",
"101-25=76"
] | Current State: 76:[46, 21, 97, 4], Operations: []
Exploring Operation: 46-21=25, Resulting Numbers: [97, 4, 25]
Generated Node #2: [97, 4, 25] from Operation: 46-21=25
Current State: 76:[97, 4, 25], Operations: ['46-21=25']
Exploring Operation: 97+4=101, Resulting Numbers: [25, 101]
Generated Node #3: [25, 101] from Operation: 97+4=101
Current State: 76:[25, 101], Operations: ['46-21=25', '97+4=101']
Exploring Operation: 101-25=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
33,
72,
41,
28
] | 11 | [
"72-41=31",
"31-28=3",
"33/3=11"
] | Current State: 11:[33, 72, 41, 28], Operations: []
Exploring Operation: 72-41=31, Resulting Numbers: [33, 28, 31]
Generated Node #2: [33, 28, 31] from Operation: 72-41=31
Current State: 11:[33, 28, 31], Operations: ['72-41=31']
Exploring Operation: 31-28=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 31-28=3
Current State: 11:[33, 3], Operations: ['72-41=31', '31-28=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
67,
66,
60,
76
] | 54 | [
"76-67=9",
"66-60=6",
"9*6=54"
] | Current State: 54:[67, 66, 60, 76], Operations: []
Exploring Operation: 76-67=9, Resulting Numbers: [66, 60, 9]
Generated Node #2: [66, 60, 9] from Operation: 76-67=9
Current State: 54:[66, 60, 9], Operations: ['76-67=9']
Exploring Operation: 66-60=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 66-60=6
Current State: 54:[9, 6], Operations: ['76-67=9', '66-60=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
73,
64,
10,
94
] | 76 | [
"94-64=30",
"30/10=3",
"73+3=76"
] | Current State: 76:[73, 64, 10, 94], Operations: []
Exploring Operation: 94-64=30, Resulting Numbers: [73, 10, 30]
Generated Node #2: [73, 10, 30] from Operation: 94-64=30
Current State: 76:[73, 10, 30], Operations: ['94-64=30']
Exploring Operation: 30/10=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 30/10=3
Current State: 76:[73, 3], Operations: ['94-64=30', '30/10=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
45,
41,
99,
94
] | 91 | [
"45+41=86",
"99-94=5",
"86+5=91"
] | Current State: 91:[45, 41, 99, 94], Operations: []
Exploring Operation: 45+41=86, Resulting Numbers: [99, 94, 86]
Generated Node #2: [99, 94, 86] from Operation: 45+41=86
Current State: 91:[99, 94, 86], Operations: ['45+41=86']
Exploring Operation: 99-94=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 99-94=5
Current State: 91:[86, 5], Operations: ['45+41=86', '99-94=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
58,
49,
40,
99
] | 51 | [
"58-49=9",
"99/9=11",
"40+11=51"
] | Current State: 51:[58, 49, 40, 99], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [40, 99, 9]
Generated Node #2: [40, 99, 9] from Operation: 58-49=9
Current State: 51:[40, 99, 9], Operations: ['58-49=9']
Exploring Operation: 99/9=11, Resulting Numbers: [40, 11]
Generated Node #3: [40, 11] from Operation: 99/9=11
Current State: 51:[40, 11], Operations: ['58-49=9', '99/9=11']
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
6,
26,
17,
10
] | 72 | [
"26*17=442",
"442-10=432",
"432/6=72"
] | Current State: 72:[6, 26, 17, 10], Operations: []
Exploring Operation: 26*17=442, Resulting Numbers: [6, 10, 442]
Generated Node #2: [6, 10, 442] from Operation: 26*17=442
Current State: 72:[6, 10, 442], Operations: ['26*17=442']
Exploring Operation: 442-10=432, Resulting Numbers: [6, 432]
Generated Node #3: [6, 432] from Operation: 442-10=432
Current State: 72:[6, 432], Operations: ['26*17=442', '442-10=432']
Exploring Operation: 432/6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
21,
71,
55,
56
] | 50 | [
"71-21=50",
"56-55=1",
"50*1=50"
] | Current State: 50:[21, 71, 55, 56], Operations: []
Exploring Operation: 71-21=50, Resulting Numbers: [55, 56, 50]
Generated Node #2: [55, 56, 50] from Operation: 71-21=50
Current State: 50:[55, 56, 50], Operations: ['71-21=50']
Exploring Operation: 56-55=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 56-55=1
Current State: 50:[50, 1], Operations: ['71-21=50', '56-55=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
73,
77,
83,
56
] | 31 | [
"77-73=4",
"83-56=27",
"4+27=31"
] | Current State: 31:[73, 77, 83, 56], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [83, 56, 4]
Generated Node #2: [83, 56, 4] from Operation: 77-73=4
Current State: 31:[83, 56, 4], Operations: ['77-73=4']
Exploring Operation: 83-56=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 83-56=27
Current State: 31:[4, 27], Operations: ['77-73=4', '83-56=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
63,
45,
7,
86
] | 75 | [
"63-45=18",
"7+86=93",
"93-18=75"
] | Current State: 75:[63, 45, 7, 86], Operations: []
Exploring Operation: 63-45=18, Resulting Numbers: [7, 86, 18]
Generated Node #2: [7, 86, 18] from Operation: 63-45=18
Current State: 75:[7, 86, 18], Operations: ['63-45=18']
Exploring Operation: 7+86=93, Resulting Numbers: [18, 93]
Generated Node #3: [18, 93] from Operation: 7+86=93
Current State: 75:[18, 93], Operations: ['63-45=18', '7+86=93']
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
2,
46,
67,
37
] | 75 | [
"46+67=113",
"37+113=150",
"150/2=75"
] | Current State: 75:[2, 46, 67, 37], Operations: []
Exploring Operation: 46+67=113, Resulting Numbers: [2, 37, 113]
Generated Node #2: [2, 37, 113] from Operation: 46+67=113
Current State: 75:[2, 37, 113], Operations: ['46+67=113']
Exploring Operation: 37+113=150, Resulting Numbers: [2, 150]
Generated Node #3: [2, 150] from Operation: 37+113=150
Current State: 75:[2, 150], Operations: ['46+67=113', '37+113=150']
Exploring Operation: 150/2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
56,
2,
33,
62
] | 99 | [
"62-56=6",
"6/2=3",
"33*3=99"
] | Current State: 99:[56, 2, 33, 62], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [2, 33, 6]
Generated Node #2: [2, 33, 6] from Operation: 62-56=6
Current State: 99:[2, 33, 6], Operations: ['62-56=6']
Exploring Operation: 6/2=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 6/2=3
Current State: 99:[33, 3], Operations: ['62-56=6', '6/2=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
42,
98,
4,
48
] | 17 | [
"48-42=6",
"98+4=102",
"102/6=17"
] | Current State: 17:[42, 98, 4, 48], Operations: []
Exploring Operation: 48-42=6, Resulting Numbers: [98, 4, 6]
Generated Node #2: [98, 4, 6] from Operation: 48-42=6
Current State: 17:[98, 4, 6], Operations: ['48-42=6']
Exploring Operation: 98+4=102, Resulting Numbers: [6, 102]
Generated Node #3: [6, 102] from Operation: 98+4=102
Current State: 17:[6, 102], Operations: ['48-42=6', '98+4=102']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
15,
38,
16,
96
] | 59 | [
"15+38=53",
"16+96=112",
"112-53=59"
] | Current State: 59:[15, 38, 16, 96], Operations: []
Exploring Operation: 15+38=53, Resulting Numbers: [16, 96, 53]
Generated Node #2: [16, 96, 53] from Operation: 15+38=53
Current State: 59:[16, 96, 53], Operations: ['15+38=53']
Exploring Operation: 16+96=112, Resulting Numbers: [53, 112]
Generated Node #3: [53, 112] from Operation: 16+96=112
Current State: 59:[53, 112], Operations: ['15+38=53', '16+96=112']
Exploring Operation: 112-53=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
38,
29,
26,
67
] | 47 | [
"29-26=3",
"38*3=114",
"114-67=47"
] | Current State: 47:[38, 29, 26, 67], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [38, 67, 3]
Generated Node #2: [38, 67, 3] from Operation: 29-26=3
Current State: 47:[38, 67, 3], Operations: ['29-26=3']
Exploring Operation: 38*3=114, Resulting Numbers: [67, 114]
Generated Node #3: [67, 114] from Operation: 38*3=114
Current State: 47:[67, 114], Operations: ['29-26=3', '38*3=114']
Exploring Operation: 114-67=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
58,
5,
11,
14
] | 60 | [
"58+5=63",
"14-11=3",
"63-3=60"
] | Current State: 60:[58, 5, 11, 14], Operations: []
Exploring Operation: 58+5=63, Resulting Numbers: [11, 14, 63]
Generated Node #2: [11, 14, 63] from Operation: 58+5=63
Current State: 60:[11, 14, 63], Operations: ['58+5=63']
Exploring Operation: 14-11=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 14-11=3
Current State: 60:[63, 3], Operations: ['58+5=63', '14-11=3']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
33,
5,
2,
60
] | 24 | [
"33+5=38",
"2+60=62",
"62-38=24"
] | Current State: 24:[33, 5, 2, 60], Operations: []
Exploring Operation: 33+5=38, Resulting Numbers: [2, 60, 38]
Generated Node #2: [2, 60, 38] from Operation: 33+5=38
Current State: 24:[2, 60, 38], Operations: ['33+5=38']
Exploring Operation: 2+60=62, Resulting Numbers: [38, 62]
Generated Node #3: [38, 62] from Operation: 2+60=62
Current State: 24:[38, 62], Operations: ['33+5=38', '2+60=62']
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
18,
49,
47
] | 19 | [
"49-47=2",
"18/2=9",
"10+9=19"
] | Current State: 19:[10, 18, 49, 47], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [10, 18, 2]
Generated Node #2: [10, 18, 2] from Operation: 49-47=2
Current State: 19:[10, 18, 2], Operations: ['49-47=2']
Exploring Operation: 18/2=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 18/2=9
Current State: 19:[10, 9], Operations: ['49-47=2', '18/2=9']
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
72,
10,
44,
61
] | 44 | [
"72-10=62",
"62-61=1",
"44*1=44"
] | Current State: 44:[72, 10, 44, 61], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [44, 61, 62]
Generated Node #2: [44, 61, 62] from Operation: 72-10=62
Current State: 44:[44, 61, 62], Operations: ['72-10=62']
Exploring Operation: 62-61=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 62-61=1
Current State: 44:[44, 1], Operations: ['72-10=62', '62-61=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
96,
41,
30,
18
] | 82 | [
"96*41=3936",
"30+18=48",
"3936/48=82"
] | Current State: 82:[96, 41, 30, 18], Operations: []
Exploring Operation: 96*41=3936, Resulting Numbers: [30, 18, 3936]
Generated Node #2: [30, 18, 3936] from Operation: 96*41=3936
Current State: 82:[30, 18, 3936], Operations: ['96*41=3936']
Exploring Operation: 30+18=48, Resulting Numbers: [3936, 48]
Generated Node #3: [3936, 48] from Operation: 30+18=48
Current State: 82:[3936, 48], Operations: ['96*41=3936', '30+18=48']
Exploring Operation: 3936/48=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
45,
70,
4,
50
] | 85 | [
"45+70=115",
"4*50=200",
"200-115=85"
] | Current State: 85:[45, 70, 4, 50], Operations: []
Exploring Operation: 45+70=115, Resulting Numbers: [4, 50, 115]
Generated Node #2: [4, 50, 115] from Operation: 45+70=115
Current State: 85:[4, 50, 115], Operations: ['45+70=115']
Exploring Operation: 4*50=200, Resulting Numbers: [115, 200]
Generated Node #3: [115, 200] from Operation: 4*50=200
Current State: 85:[115, 200], Operations: ['45+70=115', '4*50=200']
Exploring Operation: 200-115=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
3,
9,
11,
73
] | 74 | [
"3+9=12",
"73-11=62",
"12+62=74"
] | Current State: 74:[3, 9, 11, 73], Operations: []
Exploring Operation: 3+9=12, Resulting Numbers: [11, 73, 12]
Generated Node #2: [11, 73, 12] from Operation: 3+9=12
Current State: 74:[11, 73, 12], Operations: ['3+9=12']
Exploring Operation: 73-11=62, Resulting Numbers: [12, 62]
Generated Node #3: [12, 62] from Operation: 73-11=62
Current State: 74:[12, 62], Operations: ['3+9=12', '73-11=62']
Exploring Operation: 12+62=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
82,
68,
30,
82
] | 66 | [
"82-68=14",
"82-30=52",
"14+52=66"
] | Current State: 66:[82, 68, 30, 82], Operations: []
Exploring Operation: 82-68=14, Resulting Numbers: [30, 14]
Generated Node #2: [30, 14] from Operation: 82-68=14
Current State: 66:[30, 14], Operations: ['82-68=14']
Exploring Operation: 82-30=52, Resulting Numbers: [14, 52]
Generated Node #3: [14, 52] from Operation: 82-30=52
Current State: 66:[14, 52], Operations: ['82-68=14', '82-30=52']
Exploring Operation: 14+52=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
88,
55,
8,
83
] | 88 | [
"88/8=11",
"55/11=5",
"83+5=88"
] | Current State: 88:[88, 55, 8, 83], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [55, 83, 11]
Generated Node #2: [55, 83, 11] from Operation: 88/8=11
Current State: 88:[55, 83, 11], Operations: ['88/8=11']
Exploring Operation: 55/11=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 55/11=5
Current State: 88:[83, 5], Operations: ['88/8=11', '55/11=5']
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
14,
14,
10,
42
] | 24 | [
"14+14=28",
"10+42=52",
"52-28=24"
] | Current State: 24:[14, 14, 10, 42], Operations: []
Exploring Operation: 14+14=28, Resulting Numbers: [10, 42, 28]
Generated Node #2: [10, 42, 28] from Operation: 14+14=28
Current State: 24:[10, 42, 28], Operations: ['14+14=28']
Exploring Operation: 10+42=52, Resulting Numbers: [28, 52]
Generated Node #3: [28, 52] from Operation: 10+42=52
Current State: 24:[28, 52], Operations: ['14+14=28', '10+42=52']
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
5,
24,
72,
57
] | 65 | [
"5+57=62",
"72/24=3",
"62+3=65"
] | Current State: 65:[5, 24, 72, 57], Operations: []
Exploring Operation: 5+57=62, Resulting Numbers: [24, 72, 62]
Generated Node #2: [24, 72, 62] from Operation: 5+57=62
Current State: 65:[24, 72, 62], Operations: ['5+57=62']
Exploring Operation: 72/24=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 72/24=3
Current State: 65:[62, 3], Operations: ['5+57=62', '72/24=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
40,
3,
76,
63
] | 73 | [
"40+76=116",
"3*63=189",
"189-116=73"
] | Current State: 73:[40, 3, 76, 63], Operations: []
Exploring Operation: 40+76=116, Resulting Numbers: [3, 63, 116]
Generated Node #2: [3, 63, 116] from Operation: 40+76=116
Current State: 73:[3, 63, 116], Operations: ['40+76=116']
Exploring Operation: 3*63=189, Resulting Numbers: [116, 189]
Generated Node #3: [116, 189] from Operation: 3*63=189
Current State: 73:[116, 189], Operations: ['40+76=116', '3*63=189']
Exploring Operation: 189-116=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
13,
2,
53,
67
] | 100 | [
"13+53=66",
"66/2=33",
"67+33=100"
] | Current State: 100:[13, 2, 53, 67], Operations: []
Exploring Operation: 13+53=66, Resulting Numbers: [2, 67, 66]
Generated Node #2: [2, 67, 66] from Operation: 13+53=66
Current State: 100:[2, 67, 66], Operations: ['13+53=66']
Exploring Operation: 66/2=33, Resulting Numbers: [67, 33]
Generated Node #3: [67, 33] from Operation: 66/2=33
Current State: 100:[67, 33], Operations: ['13+53=66', '66/2=33']
Exploring Operation: 67+33=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
57,
10,
22,
67
] | 96 | [
"57+67=124",
"10*22=220",
"220-124=96"
] | Current State: 96:[57, 10, 22, 67], Operations: []
Exploring Operation: 57+67=124, Resulting Numbers: [10, 22, 124]
Generated Node #2: [10, 22, 124] from Operation: 57+67=124
Current State: 96:[10, 22, 124], Operations: ['57+67=124']
Exploring Operation: 10*22=220, Resulting Numbers: [124, 220]
Generated Node #3: [124, 220] from Operation: 10*22=220
Current State: 96:[124, 220], Operations: ['57+67=124', '10*22=220']
Exploring Operation: 220-124=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
24,
7,
5,
69
] | 94 | [
"24*7=168",
"5+69=74",
"168-74=94"
] | Current State: 94:[24, 7, 5, 69], Operations: []
Exploring Operation: 24*7=168, Resulting Numbers: [5, 69, 168]
Generated Node #2: [5, 69, 168] from Operation: 24*7=168
Current State: 94:[5, 69, 168], Operations: ['24*7=168']
Exploring Operation: 5+69=74, Resulting Numbers: [168, 74]
Generated Node #3: [168, 74] from Operation: 5+69=74
Current State: 94:[168, 74], Operations: ['24*7=168', '5+69=74']
Exploring Operation: 168-74=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
99,
7,
59,
67
] | 100 | [
"99-7=92",
"67-59=8",
"92+8=100"
] | Current State: 100:[99, 7, 59, 67], Operations: []
Exploring Operation: 99-7=92, Resulting Numbers: [59, 67, 92]
Generated Node #2: [59, 67, 92] from Operation: 99-7=92
Current State: 100:[59, 67, 92], Operations: ['99-7=92']
Exploring Operation: 67-59=8, Resulting Numbers: [92, 8]
Generated Node #3: [92, 8] from Operation: 67-59=8
Current State: 100:[92, 8], Operations: ['99-7=92', '67-59=8']
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
31,
2,
69,
82
] | 64 | [
"31+69=100",
"2*82=164",
"164-100=64"
] | Current State: 64:[31, 2, 69, 82], Operations: []
Exploring Operation: 31+69=100, Resulting Numbers: [2, 82, 100]
Generated Node #2: [2, 82, 100] from Operation: 31+69=100
Current State: 64:[2, 82, 100], Operations: ['31+69=100']
Exploring Operation: 2*82=164, Resulting Numbers: [100, 164]
Generated Node #3: [100, 164] from Operation: 2*82=164
Current State: 64:[100, 164], Operations: ['31+69=100', '2*82=164']
Exploring Operation: 164-100=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
35,
62,
84,
17
] | 69 | [
"35+84=119",
"119/17=7",
"62+7=69"
] | Current State: 69:[35, 62, 84, 17], Operations: []
Exploring Operation: 35+84=119, Resulting Numbers: [62, 17, 119]
Generated Node #2: [62, 17, 119] from Operation: 35+84=119
Current State: 69:[62, 17, 119], Operations: ['35+84=119']
Exploring Operation: 119/17=7, Resulting Numbers: [62, 7]
Generated Node #3: [62, 7] from Operation: 119/17=7
Current State: 69:[62, 7], Operations: ['35+84=119', '119/17=7']
Exploring Operation: 62+7=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
34,
64,
38,
34
] | 27 | [
"34/34=1",
"64-38=26",
"1+26=27"
] | Current State: 27:[34, 64, 38, 34], Operations: []
Exploring Operation: 34/34=1, Resulting Numbers: [64, 38, 1]
Generated Node #2: [64, 38, 1] from Operation: 34/34=1
Current State: 27:[64, 38, 1], Operations: ['34/34=1']
Exploring Operation: 64-38=26, Resulting Numbers: [1, 26]
Generated Node #3: [1, 26] from Operation: 64-38=26
Current State: 27:[1, 26], Operations: ['34/34=1', '64-38=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
31,
14,
46,
19
] | 56 | [
"46-31=15",
"19-15=4",
"14*4=56"
] | Current State: 56:[31, 14, 46, 19], Operations: []
Exploring Operation: 46-31=15, Resulting Numbers: [14, 19, 15]
Generated Node #2: [14, 19, 15] from Operation: 46-31=15
Current State: 56:[14, 19, 15], Operations: ['46-31=15']
Exploring Operation: 19-15=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 19-15=4
Current State: 56:[14, 4], Operations: ['46-31=15', '19-15=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
57,
54,
63,
94
] | 93 | [
"57-54=3",
"94-63=31",
"3*31=93"
] | Current State: 93:[57, 54, 63, 94], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [63, 94, 3]
Generated Node #2: [63, 94, 3] from Operation: 57-54=3
Current State: 93:[63, 94, 3], Operations: ['57-54=3']
Exploring Operation: 94-63=31, Resulting Numbers: [3, 31]
Generated Node #3: [3, 31] from Operation: 94-63=31
Current State: 93:[3, 31], Operations: ['57-54=3', '94-63=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
58,
97,
50,
28
] | 17 | [
"97-58=39",
"50-28=22",
"39-22=17"
] | Current State: 17:[58, 97, 50, 28], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [50, 28, 39]
Generated Node #2: [50, 28, 39] from Operation: 97-58=39
Current State: 17:[50, 28, 39], Operations: ['97-58=39']
Exploring Operation: 50-28=22, Resulting Numbers: [39, 22]
Generated Node #3: [39, 22] from Operation: 50-28=22
Current State: 17:[39, 22], Operations: ['97-58=39', '50-28=22']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
15,
2,
40,
40
] | 35 | [
"15+40=55",
"40/2=20",
"55-20=35"
] | Current State: 35:[15, 2, 40, 40], Operations: []
Exploring Operation: 15+40=55, Resulting Numbers: [2, 55]
Generated Node #2: [2, 55] from Operation: 15+40=55
Current State: 35:[2, 55], Operations: ['15+40=55']
Exploring Operation: 40/2=20, Resulting Numbers: [55, 20]
Generated Node #3: [55, 20] from Operation: 40/2=20
Current State: 35:[55, 20], Operations: ['15+40=55', '40/2=20']
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
34,
3,
43,
83
] | 17 | [
"34*43=1462",
"3+83=86",
"1462/86=17"
] | Current State: 17:[34, 3, 43, 83], Operations: []
Exploring Operation: 34*43=1462, Resulting Numbers: [3, 83, 1462]
Generated Node #2: [3, 83, 1462] from Operation: 34*43=1462
Current State: 17:[3, 83, 1462], Operations: ['34*43=1462']
Exploring Operation: 3+83=86, Resulting Numbers: [1462, 86]
Generated Node #3: [1462, 86] from Operation: 3+83=86
Current State: 17:[1462, 86], Operations: ['34*43=1462', '3+83=86']
Exploring Operation: 1462/86=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
56,
71,
13,
20
] | 65 | [
"71-56=15",
"20-15=5",
"13*5=65"
] | Current State: 65:[56, 71, 13, 20], Operations: []
Exploring Operation: 71-56=15, Resulting Numbers: [13, 20, 15]
Generated Node #2: [13, 20, 15] from Operation: 71-56=15
Current State: 65:[13, 20, 15], Operations: ['71-56=15']
Exploring Operation: 20-15=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 20-15=5
Current State: 65:[13, 5], Operations: ['71-56=15', '20-15=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
78,
65,
6,
75
] | 18 | [
"75-65=10",
"6*10=60",
"78-60=18"
] | Current State: 18:[78, 65, 6, 75], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [78, 6, 10]
Generated Node #2: [78, 6, 10] from Operation: 75-65=10
Current State: 18:[78, 6, 10], Operations: ['75-65=10']
Exploring Operation: 6*10=60, Resulting Numbers: [78, 60]
Generated Node #3: [78, 60] from Operation: 6*10=60
Current State: 18:[78, 60], Operations: ['75-65=10', '6*10=60']
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
78,
30,
38,
38
] | 48 | [
"78-30=48",
"38-38=0",
"48+0=48"
] | Current State: 48:[78, 30, 38, 38], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [38, 38, 48]
Generated Node #2: [38, 38, 48] from Operation: 78-30=48
Current State: 48:[38, 38, 48], Operations: ['78-30=48']
Exploring Operation: 38-38=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 38-38=0
Current State: 48:[48, 0], Operations: ['78-30=48', '38-38=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
52,
29,
25,
97
] | 99 | [
"52-29=23",
"25+97=122",
"122-23=99"
] | Current State: 99:[52, 29, 25, 97], Operations: []
Exploring Operation: 52-29=23, Resulting Numbers: [25, 97, 23]
Generated Node #2: [25, 97, 23] from Operation: 52-29=23
Current State: 99:[25, 97, 23], Operations: ['52-29=23']
Exploring Operation: 25+97=122, Resulting Numbers: [23, 122]
Generated Node #3: [23, 122] from Operation: 25+97=122
Current State: 99:[23, 122], Operations: ['52-29=23', '25+97=122']
Exploring Operation: 122-23=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
81,
16,
14,
12
] | 87 | [
"16-14=2",
"12/2=6",
"81+6=87"
] | Current State: 87:[81, 16, 14, 12], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [81, 12, 2]
Generated Node #2: [81, 12, 2] from Operation: 16-14=2
Current State: 87:[81, 12, 2], Operations: ['16-14=2']
Exploring Operation: 12/2=6, Resulting Numbers: [81, 6]
Generated Node #3: [81, 6] from Operation: 12/2=6
Current State: 87:[81, 6], Operations: ['16-14=2', '12/2=6']
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
12,
50,
24,
33
] | 16 | [
"24/12=2",
"33*2=66",
"66-50=16"
] | Current State: 16:[12, 50, 24, 33], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [50, 33, 2]
Generated Node #2: [50, 33, 2] from Operation: 24/12=2
Current State: 16:[50, 33, 2], Operations: ['24/12=2']
Exploring Operation: 33*2=66, Resulting Numbers: [50, 66]
Generated Node #3: [50, 66] from Operation: 33*2=66
Current State: 16:[50, 66], Operations: ['24/12=2', '33*2=66']
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
20,
13,
44,
23
] | 42 | [
"23-13=10",
"20/10=2",
"44-2=42"
] | Current State: 42:[20, 13, 44, 23], Operations: []
Exploring Operation: 23-13=10, Resulting Numbers: [20, 44, 10]
Generated Node #2: [20, 44, 10] from Operation: 23-13=10
Current State: 42:[20, 44, 10], Operations: ['23-13=10']
Exploring Operation: 20/10=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 20/10=2
Current State: 42:[44, 2], Operations: ['23-13=10', '20/10=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
24,
36,
7,
67
] | 13 | [
"24*36=864",
"7+864=871",
"871/67=13"
] | Current State: 13:[24, 36, 7, 67], Operations: []
Exploring Operation: 24*36=864, Resulting Numbers: [7, 67, 864]
Generated Node #2: [7, 67, 864] from Operation: 24*36=864
Current State: 13:[7, 67, 864], Operations: ['24*36=864']
Exploring Operation: 7+864=871, Resulting Numbers: [67, 871]
Generated Node #3: [67, 871] from Operation: 7+864=871
Current State: 13:[67, 871], Operations: ['24*36=864', '7+864=871']
Exploring Operation: 871/67=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
59,
29,
7,
11
] | 34 | [
"59-29=30",
"11-7=4",
"30+4=34"
] | Current State: 34:[59, 29, 7, 11], Operations: []
Exploring Operation: 59-29=30, Resulting Numbers: [7, 11, 30]
Generated Node #2: [7, 11, 30] from Operation: 59-29=30
Current State: 34:[7, 11, 30], Operations: ['59-29=30']
Exploring Operation: 11-7=4, Resulting Numbers: [30, 4]
Generated Node #3: [30, 4] from Operation: 11-7=4
Current State: 34:[30, 4], Operations: ['59-29=30', '11-7=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
41,
66,
6,
57
] | 76 | [
"66-41=25",
"57-6=51",
"25+51=76"
] | Current State: 76:[41, 66, 6, 57], Operations: []
Exploring Operation: 66-41=25, Resulting Numbers: [6, 57, 25]
Generated Node #2: [6, 57, 25] from Operation: 66-41=25
Current State: 76:[6, 57, 25], Operations: ['66-41=25']
Exploring Operation: 57-6=51, Resulting Numbers: [25, 51]
Generated Node #3: [25, 51] from Operation: 57-6=51
Current State: 76:[25, 51], Operations: ['66-41=25', '57-6=51']
Exploring Operation: 25+51=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
80,
29,
66,
90
] | 47 | [
"80+29=109",
"66+90=156",
"156-109=47"
] | Current State: 47:[80, 29, 66, 90], Operations: []
Exploring Operation: 80+29=109, Resulting Numbers: [66, 90, 109]
Generated Node #2: [66, 90, 109] from Operation: 80+29=109
Current State: 47:[66, 90, 109], Operations: ['80+29=109']
Exploring Operation: 66+90=156, Resulting Numbers: [109, 156]
Generated Node #3: [109, 156] from Operation: 66+90=156
Current State: 47:[109, 156], Operations: ['80+29=109', '66+90=156']
Exploring Operation: 156-109=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
4,
28,
75,
90
] | 32 | [
"90-75=15",
"4*15=60",
"60-28=32"
] | Current State: 32:[4, 28, 75, 90], Operations: []
Exploring Operation: 90-75=15, Resulting Numbers: [4, 28, 15]
Generated Node #2: [4, 28, 15] from Operation: 90-75=15
Current State: 32:[4, 28, 15], Operations: ['90-75=15']
Exploring Operation: 4*15=60, Resulting Numbers: [28, 60]
Generated Node #3: [28, 60] from Operation: 4*15=60
Current State: 32:[28, 60], Operations: ['90-75=15', '4*15=60']
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
31,
94,
6,
23
] | 13 | [
"31+94=125",
"6*23=138",
"138-125=13"
] | Current State: 13:[31, 94, 6, 23], Operations: []
Exploring Operation: 31+94=125, Resulting Numbers: [6, 23, 125]
Generated Node #2: [6, 23, 125] from Operation: 31+94=125
Current State: 13:[6, 23, 125], Operations: ['31+94=125']
Exploring Operation: 6*23=138, Resulting Numbers: [125, 138]
Generated Node #3: [125, 138] from Operation: 6*23=138
Current State: 13:[125, 138], Operations: ['31+94=125', '6*23=138']
Exploring Operation: 138-125=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
4,
85,
93,
80
] | 93 | [
"85-4=81",
"81-80=1",
"93*1=93"
] | Current State: 93:[4, 85, 93, 80], Operations: []
Exploring Operation: 85-4=81, Resulting Numbers: [93, 80, 81]
Generated Node #2: [93, 80, 81] from Operation: 85-4=81
Current State: 93:[93, 80, 81], Operations: ['85-4=81']
Exploring Operation: 81-80=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 81-80=1
Current State: 93:[93, 1], Operations: ['85-4=81', '81-80=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
26,
22,
65,
42
] | 71 | [
"26+22=48",
"65-42=23",
"48+23=71"
] | Current State: 71:[26, 22, 65, 42], Operations: []
Exploring Operation: 26+22=48, Resulting Numbers: [65, 42, 48]
Generated Node #2: [65, 42, 48] from Operation: 26+22=48
Current State: 71:[65, 42, 48], Operations: ['26+22=48']
Exploring Operation: 65-42=23, Resulting Numbers: [48, 23]
Generated Node #3: [48, 23] from Operation: 65-42=23
Current State: 71:[48, 23], Operations: ['26+22=48', '65-42=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
9,
10,
26,
3
] | 24 | [
"10-9=1",
"26-3=23",
"1+23=24"
] | Current State: 24:[9, 10, 26, 3], Operations: []
Exploring Operation: 10-9=1, Resulting Numbers: [26, 3, 1]
Generated Node #2: [26, 3, 1] from Operation: 10-9=1
Current State: 24:[26, 3, 1], Operations: ['10-9=1']
Exploring Operation: 26-3=23, Resulting Numbers: [1, 23]
Generated Node #3: [1, 23] from Operation: 26-3=23
Current State: 24:[1, 23], Operations: ['10-9=1', '26-3=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
93,
7,
48,
87
] | 47 | [
"93-7=86",
"87-48=39",
"86-39=47"
] | Current State: 47:[93, 7, 48, 87], Operations: []
Exploring Operation: 93-7=86, Resulting Numbers: [48, 87, 86]
Generated Node #2: [48, 87, 86] from Operation: 93-7=86
Current State: 47:[48, 87, 86], Operations: ['93-7=86']
Exploring Operation: 87-48=39, Resulting Numbers: [86, 39]
Generated Node #3: [86, 39] from Operation: 87-48=39
Current State: 47:[86, 39], Operations: ['93-7=86', '87-48=39']
Exploring Operation: 86-39=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
83,
13,
75,
71
] | 50 | [
"83+13=96",
"75+71=146",
"146-96=50"
] | Current State: 50:[83, 13, 75, 71], Operations: []
Exploring Operation: 83+13=96, Resulting Numbers: [75, 71, 96]
Generated Node #2: [75, 71, 96] from Operation: 83+13=96
Current State: 50:[75, 71, 96], Operations: ['83+13=96']
Exploring Operation: 75+71=146, Resulting Numbers: [96, 146]
Generated Node #3: [96, 146] from Operation: 75+71=146
Current State: 50:[96, 146], Operations: ['83+13=96', '75+71=146']
Exploring Operation: 146-96=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
95,
13,
83,
83
] | 73 | [
"95-83=12",
"13*12=156",
"156-83=73"
] | Current State: 73:[95, 13, 83, 83], Operations: []
Exploring Operation: 95-83=12, Resulting Numbers: [13, 12]
Generated Node #2: [13, 12] from Operation: 95-83=12
Current State: 73:[13, 12], Operations: ['95-83=12']
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,73 equal: Goal Reached
Exploring Operation: 156-83=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
38,
96,
3,
64
] | 82 | [
"38*3=114",
"96-64=32",
"114-32=82"
] | Current State: 82:[38, 96, 3, 64], Operations: []
Exploring Operation: 38*3=114, Resulting Numbers: [96, 64, 114]
Generated Node #2: [96, 64, 114] from Operation: 38*3=114
Current State: 82:[96, 64, 114], Operations: ['38*3=114']
Exploring Operation: 96-64=32, Resulting Numbers: [114, 32]
Generated Node #3: [114, 32] from Operation: 96-64=32
Current State: 82:[114, 32], Operations: ['38*3=114', '96-64=32']
Exploring Operation: 114-32=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
85,
9,
13,
13
] | 21 | [
"85-13=72",
"72/9=8",
"13+8=21"
] | Current State: 21:[85, 9, 13, 13], Operations: []
Exploring Operation: 85-13=72, Resulting Numbers: [9, 72]
Generated Node #2: [9, 72] from Operation: 85-13=72
Current State: 21:[9, 72], Operations: ['85-13=72']
Exploring Operation: 72/9=8, Resulting Numbers: [8]
8,21 equal: Goal Reached
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
34,
61,
73,
29
] | 17 | [
"61-34=27",
"73-29=44",
"44-27=17"
] | Current State: 17:[34, 61, 73, 29], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [73, 29, 27]
Generated Node #2: [73, 29, 27] from Operation: 61-34=27
Current State: 17:[73, 29, 27], Operations: ['61-34=27']
Exploring Operation: 73-29=44, Resulting Numbers: [27, 44]
Generated Node #3: [27, 44] from Operation: 73-29=44
Current State: 17:[27, 44], Operations: ['61-34=27', '73-29=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
21,
9,
93,
52
] | 29 | [
"21-9=12",
"93-52=41",
"41-12=29"
] | Current State: 29:[21, 9, 93, 52], Operations: []
Exploring Operation: 21-9=12, Resulting Numbers: [93, 52, 12]
Generated Node #2: [93, 52, 12] from Operation: 21-9=12
Current State: 29:[93, 52, 12], Operations: ['21-9=12']
Exploring Operation: 93-52=41, Resulting Numbers: [12, 41]
Generated Node #3: [12, 41] from Operation: 93-52=41
Current State: 29:[12, 41], Operations: ['21-9=12', '93-52=41']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
75,
77,
63,
9
] | 81 | [
"77-75=2",
"9*2=18",
"63+18=81"
] | Current State: 81:[75, 77, 63, 9], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [63, 9, 2]
Generated Node #2: [63, 9, 2] from Operation: 77-75=2
Current State: 81:[63, 9, 2], Operations: ['77-75=2']
Exploring Operation: 9*2=18, Resulting Numbers: [63, 18]
Generated Node #3: [63, 18] from Operation: 9*2=18
Current State: 81:[63, 18], Operations: ['77-75=2', '9*2=18']
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
13,
30,
1,
4
] | 69 | [
"30-13=17",
"4*17=68",
"1+68=69"
] | Current State: 69:[13, 30, 1, 4], Operations: []
Exploring Operation: 30-13=17, Resulting Numbers: [1, 4, 17]
Generated Node #2: [1, 4, 17] from Operation: 30-13=17
Current State: 69:[1, 4, 17], Operations: ['30-13=17']
Exploring Operation: 4*17=68, Resulting Numbers: [1, 68]
Generated Node #3: [1, 68] from Operation: 4*17=68
Current State: 69:[1, 68], Operations: ['30-13=17', '4*17=68']
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
63,
17,
84,
28
] | 10 | [
"63-17=46",
"84-28=56",
"56-46=10"
] | Current State: 10:[63, 17, 84, 28], Operations: []
Exploring Operation: 63-17=46, Resulting Numbers: [84, 28, 46]
Generated Node #2: [84, 28, 46] from Operation: 63-17=46
Current State: 10:[84, 28, 46], Operations: ['63-17=46']
Exploring Operation: 84-28=56, Resulting Numbers: [46, 56]
Generated Node #3: [46, 56] from Operation: 84-28=56
Current State: 10:[46, 56], Operations: ['63-17=46', '84-28=56']
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
35,
19,
41,
10
] | 75 | [
"35*41=1435",
"1435-10=1425",
"1425/19=75"
] | Current State: 75:[35, 19, 41, 10], Operations: []
Exploring Operation: 35*41=1435, Resulting Numbers: [19, 10, 1435]
Generated Node #2: [19, 10, 1435] from Operation: 35*41=1435
Current State: 75:[19, 10, 1435], Operations: ['35*41=1435']
Exploring Operation: 1435-10=1425, Resulting Numbers: [19, 1425]
Generated Node #3: [19, 1425] from Operation: 1435-10=1425
Current State: 75:[19, 1425], Operations: ['35*41=1435', '1435-10=1425']
Exploring Operation: 1425/19=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
87,
91,
39,
49
] | 92 | [
"91-87=4",
"39+49=88",
"4+88=92"
] | Current State: 92:[87, 91, 39, 49], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [39, 49, 4]
Generated Node #2: [39, 49, 4] from Operation: 91-87=4
Current State: 92:[39, 49, 4], Operations: ['91-87=4']
Exploring Operation: 39+49=88, Resulting Numbers: [4, 88]
Generated Node #3: [4, 88] from Operation: 39+49=88
Current State: 92:[4, 88], Operations: ['91-87=4', '39+49=88']
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
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