nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
63,
50,
31,
4
] | 36 | [
"63+50=113",
"31+113=144",
"144/4=36"
] | Current State: 36:[63, 50, 31, 4], Operations: []
Exploring Operation: 63+50=113, Resulting Numbers: [31, 4, 113]
Generated Node #2: [31, 4, 113] from Operation: 63+50=113
Current State: 36:[31, 4, 113], Operations: ['63+50=113']
Exploring Operation: 31+113=144, Resulting Numbers: [4, 144]
Generated Node #3: [4, 144] from Operation: 31+113=144
Current State: 36:[4, 144], Operations: ['63+50=113', '31+113=144']
Exploring Operation: 144/4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
42,
24,
84,
17
] | 49 | [
"42-24=18",
"84-17=67",
"67-18=49"
] | Current State: 49:[42, 24, 84, 17], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [84, 17, 18]
Generated Node #2: [84, 17, 18] from Operation: 42-24=18
Current State: 49:[84, 17, 18], Operations: ['42-24=18']
Exploring Operation: 84-17=67, Resulting Numbers: [18, 67]
Generated Node #3: [18, 67] from Operation: 84-17=67
Current State: 49:[18, 67], Operations: ['42-24=18', '84-17=67']
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
83,
10,
3,
8
] | 62 | [
"83-10=73",
"3+8=11",
"73-11=62"
] | Current State: 62:[83, 10, 3, 8], Operations: []
Exploring Operation: 83-10=73, Resulting Numbers: [3, 8, 73]
Generated Node #2: [3, 8, 73] from Operation: 83-10=73
Current State: 62:[3, 8, 73], Operations: ['83-10=73']
Exploring Operation: 3+8=11, Resulting Numbers: [73, 11]
Generated Node #3: [73, 11] from Operation: 3+8=11
Current State: 62:[73, 11], Operations: ['83-10=73', '3+8=11']
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
33,
15,
6,
84
] | 39 | [
"84-33=51",
"15*6=90",
"90-51=39"
] | Current State: 39:[33, 15, 6, 84], Operations: []
Exploring Operation: 84-33=51, Resulting Numbers: [15, 6, 51]
Generated Node #2: [15, 6, 51] from Operation: 84-33=51
Current State: 39:[15, 6, 51], Operations: ['84-33=51']
Exploring Operation: 15*6=90, Resulting Numbers: [51, 90]
Generated Node #3: [51, 90] from Operation: 15*6=90
Current State: 39:[51, 90], Operations: ['84-33=51', '15*6=90']
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
44,
71,
43,
4
] | 39 | [
"44/4=11",
"71-43=28",
"11+28=39"
] | Current State: 39:[44, 71, 43, 4], Operations: []
Exploring Operation: 44/4=11, Resulting Numbers: [71, 43, 11]
Generated Node #2: [71, 43, 11] from Operation: 44/4=11
Current State: 39:[71, 43, 11], Operations: ['44/4=11']
Exploring Operation: 71-43=28, Resulting Numbers: [11, 28]
Generated Node #3: [11, 28] from Operation: 71-43=28
Current State: 39:[11, 28], Operations: ['44/4=11', '71-43=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
56,
23,
12,
16
] | 65 | [
"56*12=672",
"672/16=42",
"23+42=65"
] | Current State: 65:[56, 23, 12, 16], Operations: []
Exploring Operation: 56*12=672, Resulting Numbers: [23, 16, 672]
Generated Node #2: [23, 16, 672] from Operation: 56*12=672
Current State: 65:[23, 16, 672], Operations: ['56*12=672']
Exploring Operation: 672/16=42, Resulting Numbers: [23, 42]
Generated Node #3: [23, 42] from Operation: 672/16=42
Current State: 65:[23, 42], Operations: ['56*12=672', '672/16=42']
Exploring Operation: 23+42=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
37,
49,
29,
21
] | 47 | [
"37+21=58",
"58/29=2",
"49-2=47"
] | Current State: 47:[37, 49, 29, 21], Operations: []
Exploring Operation: 37+21=58, Resulting Numbers: [49, 29, 58]
Generated Node #2: [49, 29, 58] from Operation: 37+21=58
Current State: 47:[49, 29, 58], Operations: ['37+21=58']
Exploring Operation: 58/29=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 58/29=2
Current State: 47:[49, 2], Operations: ['37+21=58', '58/29=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
45,
58,
60,
89
] | 67 | [
"45+89=134",
"60-58=2",
"134/2=67"
] | Current State: 67:[45, 58, 60, 89], Operations: []
Exploring Operation: 45+89=134, Resulting Numbers: [58, 60, 134]
Generated Node #2: [58, 60, 134] from Operation: 45+89=134
Current State: 67:[58, 60, 134], Operations: ['45+89=134']
Exploring Operation: 60-58=2, Resulting Numbers: [134, 2]
Generated Node #3: [134, 2] from Operation: 60-58=2
Current State: 67:[134, 2], Operations: ['45+89=134', '60-58=2']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
37,
31,
46,
74
] | 40 | [
"37+31=68",
"74-46=28",
"68-28=40"
] | Current State: 40:[37, 31, 46, 74], Operations: []
Exploring Operation: 37+31=68, Resulting Numbers: [46, 74, 68]
Generated Node #2: [46, 74, 68] from Operation: 37+31=68
Current State: 40:[46, 74, 68], Operations: ['37+31=68']
Exploring Operation: 74-46=28, Resulting Numbers: [68, 28]
Generated Node #3: [68, 28] from Operation: 74-46=28
Current State: 40:[68, 28], Operations: ['37+31=68', '74-46=28']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
69,
9,
81,
8
] | 27 | [
"69*9=621",
"81*8=648",
"648-621=27"
] | Current State: 27:[69, 9, 81, 8], Operations: []
Exploring Operation: 69*9=621, Resulting Numbers: [81, 8, 621]
Generated Node #2: [81, 8, 621] from Operation: 69*9=621
Current State: 27:[81, 8, 621], Operations: ['69*9=621']
Exploring Operation: 81*8=648, Resulting Numbers: [621, 648]
Generated Node #3: [621, 648] from Operation: 81*8=648
Current State: 27:[621, 648], Operations: ['69*9=621', '81*8=648']
Exploring Operation: 648-621=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
76,
76,
60,
71
] | 11 | [
"76-76=0",
"71-60=11",
"0+11=11"
] | Current State: 11:[76, 76, 60, 71], Operations: []
Exploring Operation: 76-76=0, Resulting Numbers: [60, 71, 0]
Generated Node #2: [60, 71, 0] from Operation: 76-76=0
Current State: 11:[60, 71, 0], Operations: ['76-76=0']
Exploring Operation: 71-60=11, Resulting Numbers: [0, 11]
Generated Node #3: [0, 11] from Operation: 71-60=11
Current State: 11:[0, 11], Operations: ['76-76=0', '71-60=11']
Exploring Operation: 0+11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
2,
55,
21,
10
] | 48 | [
"55+21=76",
"76/2=38",
"10+38=48"
] | Current State: 48:[2, 55, 21, 10], Operations: []
Exploring Operation: 55+21=76, Resulting Numbers: [2, 10, 76]
Generated Node #2: [2, 10, 76] from Operation: 55+21=76
Current State: 48:[2, 10, 76], Operations: ['55+21=76']
Exploring Operation: 76/2=38, Resulting Numbers: [10, 38]
Generated Node #3: [10, 38] from Operation: 76/2=38
Current State: 48:[10, 38], Operations: ['55+21=76', '76/2=38']
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
58,
68,
83,
9
] | 69 | [
"58+68=126",
"126/9=14",
"83-14=69"
] | Current State: 69:[58, 68, 83, 9], Operations: []
Exploring Operation: 58+68=126, Resulting Numbers: [83, 9, 126]
Generated Node #2: [83, 9, 126] from Operation: 58+68=126
Current State: 69:[83, 9, 126], Operations: ['58+68=126']
Exploring Operation: 126/9=14, Resulting Numbers: [83, 14]
Generated Node #3: [83, 14] from Operation: 126/9=14
Current State: 69:[83, 14], Operations: ['58+68=126', '126/9=14']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
13,
83,
99,
28
] | 84 | [
"13+83=96",
"99-96=3",
"28*3=84"
] | Current State: 84:[13, 83, 99, 28], Operations: []
Exploring Operation: 13+83=96, Resulting Numbers: [99, 28, 96]
Generated Node #2: [99, 28, 96] from Operation: 13+83=96
Current State: 84:[99, 28, 96], Operations: ['13+83=96']
Exploring Operation: 99-96=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 99-96=3
Current State: 84:[28, 3], Operations: ['13+83=96', '99-96=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
51,
7,
92,
21
] | 35 | [
"92-7=85",
"21*85=1785",
"1785/51=35"
] | Current State: 35:[51, 7, 92, 21], Operations: []
Exploring Operation: 92-7=85, Resulting Numbers: [51, 21, 85]
Generated Node #2: [51, 21, 85] from Operation: 92-7=85
Current State: 35:[51, 21, 85], Operations: ['92-7=85']
Exploring Operation: 21*85=1785, Resulting Numbers: [51, 1785]
Generated Node #3: [51, 1785] from Operation: 21*85=1785
Current State: 35:[51, 1785], Operations: ['92-7=85', '21*85=1785']
Exploring Operation: 1785/51=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
55,
46,
25,
57
] | 91 | [
"55-46=9",
"25+57=82",
"9+82=91"
] | Current State: 91:[55, 46, 25, 57], Operations: []
Exploring Operation: 55-46=9, Resulting Numbers: [25, 57, 9]
Generated Node #2: [25, 57, 9] from Operation: 55-46=9
Current State: 91:[25, 57, 9], Operations: ['55-46=9']
Exploring Operation: 25+57=82, Resulting Numbers: [9, 82]
Generated Node #3: [9, 82] from Operation: 25+57=82
Current State: 91:[9, 82], Operations: ['55-46=9', '25+57=82']
Exploring Operation: 9+82=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
50,
47,
2,
10
] | 33 | [
"50-10=40",
"2*40=80",
"80-47=33"
] | Current State: 33:[50, 47, 2, 10], Operations: []
Exploring Operation: 50-10=40, Resulting Numbers: [47, 2, 40]
Generated Node #2: [47, 2, 40] from Operation: 50-10=40
Current State: 33:[47, 2, 40], Operations: ['50-10=40']
Exploring Operation: 2*40=80, Resulting Numbers: [47, 80]
Generated Node #3: [47, 80] from Operation: 2*40=80
Current State: 33:[47, 80], Operations: ['50-10=40', '2*40=80']
Exploring Operation: 80-47=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
42,
32,
16,
93
] | 53 | [
"93-42=51",
"32/16=2",
"51+2=53"
] | Current State: 53:[42, 32, 16, 93], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [32, 16, 51]
Generated Node #2: [32, 16, 51] from Operation: 93-42=51
Current State: 53:[32, 16, 51], Operations: ['93-42=51']
Exploring Operation: 32/16=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 32/16=2
Current State: 53:[51, 2], Operations: ['93-42=51', '32/16=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
75,
28,
33,
90
] | 33 | [
"75+90=165",
"33-28=5",
"165/5=33"
] | Current State: 33:[75, 28, 33, 90], Operations: []
Exploring Operation: 75+90=165, Resulting Numbers: [28, 33, 165]
Generated Node #2: [28, 33, 165] from Operation: 75+90=165
Current State: 33:[28, 33, 165], Operations: ['75+90=165']
Exploring Operation: 33-28=5, Resulting Numbers: [165, 5]
Generated Node #3: [165, 5] from Operation: 33-28=5
Current State: 33:[165, 5], Operations: ['75+90=165', '33-28=5']
Exploring Operation: 165/5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
45,
65,
38,
4
] | 43 | [
"65-45=20",
"20/4=5",
"38+5=43"
] | Current State: 43:[45, 65, 38, 4], Operations: []
Exploring Operation: 65-45=20, Resulting Numbers: [38, 4, 20]
Generated Node #2: [38, 4, 20] from Operation: 65-45=20
Current State: 43:[38, 4, 20], Operations: ['65-45=20']
Exploring Operation: 20/4=5, Resulting Numbers: [38, 5]
Generated Node #3: [38, 5] from Operation: 20/4=5
Current State: 43:[38, 5], Operations: ['65-45=20', '20/4=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
92,
54,
9,
34
] | 17 | [
"54*9=486",
"92+486=578",
"578/34=17"
] | Current State: 17:[92, 54, 9, 34], Operations: []
Exploring Operation: 54*9=486, Resulting Numbers: [92, 34, 486]
Generated Node #2: [92, 34, 486] from Operation: 54*9=486
Current State: 17:[92, 34, 486], Operations: ['54*9=486']
Exploring Operation: 92+486=578, Resulting Numbers: [34, 578]
Generated Node #3: [34, 578] from Operation: 92+486=578
Current State: 17:[34, 578], Operations: ['54*9=486', '92+486=578']
Exploring Operation: 578/34=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
26,
93,
33,
2
] | 73 | [
"26/2=13",
"93-33=60",
"13+60=73"
] | Current State: 73:[26, 93, 33, 2], Operations: []
Exploring Operation: 26/2=13, Resulting Numbers: [93, 33, 13]
Generated Node #2: [93, 33, 13] from Operation: 26/2=13
Current State: 73:[93, 33, 13], Operations: ['26/2=13']
Exploring Operation: 93-33=60, Resulting Numbers: [13, 60]
Generated Node #3: [13, 60] from Operation: 93-33=60
Current State: 73:[13, 60], Operations: ['26/2=13', '93-33=60']
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
96,
4,
89,
84
] | 14 | [
"96-89=7",
"84/4=21",
"21-7=14"
] | Current State: 14:[96, 4, 89, 84], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [4, 84, 7]
Generated Node #2: [4, 84, 7] from Operation: 96-89=7
Current State: 14:[4, 84, 7], Operations: ['96-89=7']
Exploring Operation: 84/4=21, Resulting Numbers: [7, 21]
Generated Node #3: [7, 21] from Operation: 84/4=21
Current State: 14:[7, 21], Operations: ['96-89=7', '84/4=21']
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
14,
24,
17,
28
] | 29 | [
"14*24=336",
"336/28=12",
"17+12=29"
] | Current State: 29:[14, 24, 17, 28], Operations: []
Exploring Operation: 14*24=336, Resulting Numbers: [17, 28, 336]
Generated Node #2: [17, 28, 336] from Operation: 14*24=336
Current State: 29:[17, 28, 336], Operations: ['14*24=336']
Exploring Operation: 336/28=12, Resulting Numbers: [17, 12]
Generated Node #3: [17, 12] from Operation: 336/28=12
Current State: 29:[17, 12], Operations: ['14*24=336', '336/28=12']
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
49,
27,
45,
56
] | 41 | [
"49-45=4",
"56/4=14",
"27+14=41"
] | Current State: 41:[49, 27, 45, 56], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [27, 56, 4]
Generated Node #2: [27, 56, 4] from Operation: 49-45=4
Current State: 41:[27, 56, 4], Operations: ['49-45=4']
Exploring Operation: 56/4=14, Resulting Numbers: [27, 14]
Generated Node #3: [27, 14] from Operation: 56/4=14
Current State: 41:[27, 14], Operations: ['49-45=4', '56/4=14']
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
96,
97,
39,
94
] | 83 | [
"97-94=3",
"39/3=13",
"96-13=83"
] | Current State: 83:[96, 97, 39, 94], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [96, 39, 3]
Generated Node #2: [96, 39, 3] from Operation: 97-94=3
Current State: 83:[96, 39, 3], Operations: ['97-94=3']
Exploring Operation: 39/3=13, Resulting Numbers: [96, 13]
Generated Node #3: [96, 13] from Operation: 39/3=13
Current State: 83:[96, 13], Operations: ['97-94=3', '39/3=13']
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
44,
38,
37,
81
] | 82 | [
"38*81=3078",
"3078-44=3034",
"3034/37=82"
] | Current State: 82:[44, 38, 37, 81], Operations: []
Exploring Operation: 38*81=3078, Resulting Numbers: [44, 37, 3078]
Generated Node #2: [44, 37, 3078] from Operation: 38*81=3078
Current State: 82:[44, 37, 3078], Operations: ['38*81=3078']
Exploring Operation: 3078-44=3034, Resulting Numbers: [37, 3034]
Generated Node #3: [37, 3034] from Operation: 3078-44=3034
Current State: 82:[37, 3034], Operations: ['38*81=3078', '3078-44=3034']
Exploring Operation: 3034/37=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
82,
9,
92,
29
] | 29 | [
"82+9=91",
"92-91=1",
"29*1=29"
] | Current State: 29:[82, 9, 92, 29], Operations: []
Exploring Operation: 82+9=91, Resulting Numbers: [92, 29, 91]
Generated Node #2: [92, 29, 91] from Operation: 82+9=91
Current State: 29:[92, 29, 91], Operations: ['82+9=91']
Exploring Operation: 92-91=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 92-91=1
Current State: 29:[29, 1], Operations: ['82+9=91', '92-91=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
68,
25,
70,
31
] | 82 | [
"68-25=43",
"70-31=39",
"43+39=82"
] | Current State: 82:[68, 25, 70, 31], Operations: []
Exploring Operation: 68-25=43, Resulting Numbers: [70, 31, 43]
Generated Node #2: [70, 31, 43] from Operation: 68-25=43
Current State: 82:[70, 31, 43], Operations: ['68-25=43']
Exploring Operation: 70-31=39, Resulting Numbers: [43, 39]
Generated Node #3: [43, 39] from Operation: 70-31=39
Current State: 82:[43, 39], Operations: ['68-25=43', '70-31=39']
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
32,
96,
26,
15
] | 53 | [
"96-32=64",
"26-15=11",
"64-11=53"
] | Current State: 53:[32, 96, 26, 15], Operations: []
Exploring Operation: 96-32=64, Resulting Numbers: [26, 15, 64]
Generated Node #2: [26, 15, 64] from Operation: 96-32=64
Current State: 53:[26, 15, 64], Operations: ['96-32=64']
Exploring Operation: 26-15=11, Resulting Numbers: [64, 11]
Generated Node #3: [64, 11] from Operation: 26-15=11
Current State: 53:[64, 11], Operations: ['96-32=64', '26-15=11']
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
3,
18,
47,
9
] | 61 | [
"9-3=6",
"18*6=108",
"108-47=61"
] | Current State: 61:[3, 18, 47, 9], Operations: []
Exploring Operation: 9-3=6, Resulting Numbers: [18, 47, 6]
Generated Node #2: [18, 47, 6] from Operation: 9-3=6
Current State: 61:[18, 47, 6], Operations: ['9-3=6']
Exploring Operation: 18*6=108, Resulting Numbers: [47, 108]
Generated Node #3: [47, 108] from Operation: 18*6=108
Current State: 61:[47, 108], Operations: ['9-3=6', '18*6=108']
Exploring Operation: 108-47=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
30,
89,
7,
44
] | 82 | [
"30+89=119",
"44-7=37",
"119-37=82"
] | Current State: 82:[30, 89, 7, 44], Operations: []
Exploring Operation: 30+89=119, Resulting Numbers: [7, 44, 119]
Generated Node #2: [7, 44, 119] from Operation: 30+89=119
Current State: 82:[7, 44, 119], Operations: ['30+89=119']
Exploring Operation: 44-7=37, Resulting Numbers: [119, 37]
Generated Node #3: [119, 37] from Operation: 44-7=37
Current State: 82:[119, 37], Operations: ['30+89=119', '44-7=37']
Exploring Operation: 119-37=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
45,
88,
3,
19
] | 76 | [
"45+88=133",
"3*19=57",
"133-57=76"
] | Current State: 76:[45, 88, 3, 19], Operations: []
Exploring Operation: 45+88=133, Resulting Numbers: [3, 19, 133]
Generated Node #2: [3, 19, 133] from Operation: 45+88=133
Current State: 76:[3, 19, 133], Operations: ['45+88=133']
Exploring Operation: 3*19=57, Resulting Numbers: [133, 57]
Generated Node #3: [133, 57] from Operation: 3*19=57
Current State: 76:[133, 57], Operations: ['45+88=133', '3*19=57']
Exploring Operation: 133-57=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
10,
82,
27,
48
] | 17 | [
"10+82=92",
"27+48=75",
"92-75=17"
] | Current State: 17:[10, 82, 27, 48], Operations: []
Exploring Operation: 10+82=92, Resulting Numbers: [27, 48, 92]
Generated Node #2: [27, 48, 92] from Operation: 10+82=92
Current State: 17:[27, 48, 92], Operations: ['10+82=92']
Exploring Operation: 27+48=75, Resulting Numbers: [92, 75]
Generated Node #3: [92, 75] from Operation: 27+48=75
Current State: 17:[92, 75], Operations: ['10+82=92', '27+48=75']
Exploring Operation: 92-75=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
16,
24,
30,
11
] | 82 | [
"30-24=6",
"11*6=66",
"16+66=82"
] | Current State: 82:[16, 24, 30, 11], Operations: []
Exploring Operation: 30-24=6, Resulting Numbers: [16, 11, 6]
Generated Node #2: [16, 11, 6] from Operation: 30-24=6
Current State: 82:[16, 11, 6], Operations: ['30-24=6']
Exploring Operation: 11*6=66, Resulting Numbers: [16, 66]
Generated Node #3: [16, 66] from Operation: 11*6=66
Current State: 82:[16, 66], Operations: ['30-24=6', '11*6=66']
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
47,
78,
42,
85
] | 53 | [
"85-78=7",
"42/7=6",
"47+6=53"
] | Current State: 53:[47, 78, 42, 85], Operations: []
Exploring Operation: 85-78=7, Resulting Numbers: [47, 42, 7]
Generated Node #2: [47, 42, 7] from Operation: 85-78=7
Current State: 53:[47, 42, 7], Operations: ['85-78=7']
Exploring Operation: 42/7=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 42/7=6
Current State: 53:[47, 6], Operations: ['85-78=7', '42/7=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
35,
3,
73,
2
] | 92 | [
"35+3=38",
"38/2=19",
"73+19=92"
] | Current State: 92:[35, 3, 73, 2], Operations: []
Exploring Operation: 35+3=38, Resulting Numbers: [73, 2, 38]
Generated Node #2: [73, 2, 38] from Operation: 35+3=38
Current State: 92:[73, 2, 38], Operations: ['35+3=38']
Exploring Operation: 38/2=19, Resulting Numbers: [73, 19]
Generated Node #3: [73, 19] from Operation: 38/2=19
Current State: 92:[73, 19], Operations: ['35+3=38', '38/2=19']
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
42,
84,
96,
32
] | 32 | [
"84/42=2",
"96-32=64",
"64/2=32"
] | Current State: 32:[42, 84, 96, 32], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [96, 32, 2]
Generated Node #2: [96, 32, 2] from Operation: 84/42=2
Current State: 32:[96, 32, 2], Operations: ['84/42=2']
Exploring Operation: 96-32=64, Resulting Numbers: [2, 64]
Generated Node #3: [2, 64] from Operation: 96-32=64
Current State: 32:[2, 64], Operations: ['84/42=2', '96-32=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
24,
94,
11,
70
] | 16 | [
"24*70=1680",
"94+11=105",
"1680/105=16"
] | Current State: 16:[24, 94, 11, 70], Operations: []
Exploring Operation: 24*70=1680, Resulting Numbers: [94, 11, 1680]
Generated Node #2: [94, 11, 1680] from Operation: 24*70=1680
Current State: 16:[94, 11, 1680], Operations: ['24*70=1680']
Exploring Operation: 94+11=105, Resulting Numbers: [1680, 105]
Generated Node #3: [1680, 105] from Operation: 94+11=105
Current State: 16:[1680, 105], Operations: ['24*70=1680', '94+11=105']
Exploring Operation: 1680/105=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
18,
72,
20,
70
] | 14 | [
"72/18=4",
"20/4=5",
"70/5=14"
] | Current State: 14:[18, 72, 20, 70], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [20, 70, 4]
Generated Node #2: [20, 70, 4] from Operation: 72/18=4
Current State: 14:[20, 70, 4], Operations: ['72/18=4']
Exploring Operation: 20/4=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 20/4=5
Current State: 14:[70, 5], Operations: ['72/18=4', '20/4=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
97,
49,
15,
30
] | 73 | [
"97+49=146",
"30/15=2",
"146/2=73"
] | Current State: 73:[97, 49, 15, 30], Operations: []
Exploring Operation: 97+49=146, Resulting Numbers: [15, 30, 146]
Generated Node #2: [15, 30, 146] from Operation: 97+49=146
Current State: 73:[15, 30, 146], Operations: ['97+49=146']
Exploring Operation: 30/15=2, Resulting Numbers: [146, 2]
Generated Node #3: [146, 2] from Operation: 30/15=2
Current State: 73:[146, 2], Operations: ['97+49=146', '30/15=2']
Exploring Operation: 146/2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
17,
20,
88,
28
] | 51 | [
"88-28=60",
"17*60=1020",
"1020/20=51"
] | Current State: 51:[17, 20, 88, 28], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [17, 20, 60]
Generated Node #2: [17, 20, 60] from Operation: 88-28=60
Current State: 51:[17, 20, 60], Operations: ['88-28=60']
Exploring Operation: 17*60=1020, Resulting Numbers: [20, 1020]
Generated Node #3: [20, 1020] from Operation: 17*60=1020
Current State: 51:[20, 1020], Operations: ['88-28=60', '17*60=1020']
Exploring Operation: 1020/20=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
30,
19,
22,
58
] | 56 | [
"30-19=11",
"22/11=2",
"58-2=56"
] | Current State: 56:[30, 19, 22, 58], Operations: []
Exploring Operation: 30-19=11, Resulting Numbers: [22, 58, 11]
Generated Node #2: [22, 58, 11] from Operation: 30-19=11
Current State: 56:[22, 58, 11], Operations: ['30-19=11']
Exploring Operation: 22/11=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 22/11=2
Current State: 56:[58, 2], Operations: ['30-19=11', '22/11=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
65,
79,
71,
50
] | 35 | [
"79-65=14",
"71-50=21",
"14+21=35"
] | Current State: 35:[65, 79, 71, 50], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [71, 50, 14]
Generated Node #2: [71, 50, 14] from Operation: 79-65=14
Current State: 35:[71, 50, 14], Operations: ['79-65=14']
Exploring Operation: 71-50=21, Resulting Numbers: [14, 21]
Generated Node #3: [14, 21] from Operation: 71-50=21
Current State: 35:[14, 21], Operations: ['79-65=14', '71-50=21']
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
6,
47,
75,
8
] | 14 | [
"6+47=53",
"75-8=67",
"67-53=14"
] | Current State: 14:[6, 47, 75, 8], Operations: []
Exploring Operation: 6+47=53, Resulting Numbers: [75, 8, 53]
Generated Node #2: [75, 8, 53] from Operation: 6+47=53
Current State: 14:[75, 8, 53], Operations: ['6+47=53']
Exploring Operation: 75-8=67, Resulting Numbers: [53, 67]
Generated Node #3: [53, 67] from Operation: 75-8=67
Current State: 14:[53, 67], Operations: ['6+47=53', '75-8=67']
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
51,
54,
57,
59
] | 50 | [
"57-51=6",
"54/6=9",
"59-9=50"
] | Current State: 50:[51, 54, 57, 59], Operations: []
Exploring Operation: 57-51=6, Resulting Numbers: [54, 59, 6]
Generated Node #2: [54, 59, 6] from Operation: 57-51=6
Current State: 50:[54, 59, 6], Operations: ['57-51=6']
Exploring Operation: 54/6=9, Resulting Numbers: [59, 9]
Generated Node #3: [59, 9] from Operation: 54/6=9
Current State: 50:[59, 9], Operations: ['57-51=6', '54/6=9']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
42,
70,
36,
2
] | 74 | [
"42+70=112",
"36+2=38",
"112-38=74"
] | Current State: 74:[42, 70, 36, 2], Operations: []
Exploring Operation: 42+70=112, Resulting Numbers: [36, 2, 112]
Generated Node #2: [36, 2, 112] from Operation: 42+70=112
Current State: 74:[36, 2, 112], Operations: ['42+70=112']
Exploring Operation: 36+2=38, Resulting Numbers: [112, 38]
Generated Node #3: [112, 38] from Operation: 36+2=38
Current State: 74:[112, 38], Operations: ['42+70=112', '36+2=38']
Exploring Operation: 112-38=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
73,
75,
3,
60
] | 85 | [
"73+75=148",
"3+60=63",
"148-63=85"
] | Current State: 85:[73, 75, 3, 60], Operations: []
Exploring Operation: 73+75=148, Resulting Numbers: [3, 60, 148]
Generated Node #2: [3, 60, 148] from Operation: 73+75=148
Current State: 85:[3, 60, 148], Operations: ['73+75=148']
Exploring Operation: 3+60=63, Resulting Numbers: [148, 63]
Generated Node #3: [148, 63] from Operation: 3+60=63
Current State: 85:[148, 63], Operations: ['73+75=148', '3+60=63']
Exploring Operation: 148-63=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
52,
65,
9,
41
] | 45 | [
"65-52=13",
"41-9=32",
"13+32=45"
] | Current State: 45:[52, 65, 9, 41], Operations: []
Exploring Operation: 65-52=13, Resulting Numbers: [9, 41, 13]
Generated Node #2: [9, 41, 13] from Operation: 65-52=13
Current State: 45:[9, 41, 13], Operations: ['65-52=13']
Exploring Operation: 41-9=32, Resulting Numbers: [13, 32]
Generated Node #3: [13, 32] from Operation: 41-9=32
Current State: 45:[13, 32], Operations: ['65-52=13', '41-9=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
7,
73,
25,
75
] | 83 | [
"7+73=80",
"75/25=3",
"80+3=83"
] | Current State: 83:[7, 73, 25, 75], Operations: []
Exploring Operation: 7+73=80, Resulting Numbers: [25, 75, 80]
Generated Node #2: [25, 75, 80] from Operation: 7+73=80
Current State: 83:[25, 75, 80], Operations: ['7+73=80']
Exploring Operation: 75/25=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 75/25=3
Current State: 83:[80, 3], Operations: ['7+73=80', '75/25=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
7,
98,
5,
7
] | 77 | [
"98/7=14",
"5*14=70",
"7+70=77"
] | Current State: 77:[7, 98, 5, 7], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [5, 14]
Generated Node #2: [5, 14] from Operation: 98/7=14
Current State: 77:[5, 14], Operations: ['98/7=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,77 equal: Goal Reached
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
22,
22,
34,
79
] | 46 | [
"22/22=1",
"79-34=45",
"1+45=46"
] | Current State: 46:[22, 22, 34, 79], Operations: []
Exploring Operation: 22/22=1, Resulting Numbers: [34, 79, 1]
Generated Node #2: [34, 79, 1] from Operation: 22/22=1
Current State: 46:[34, 79, 1], Operations: ['22/22=1']
Exploring Operation: 79-34=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 79-34=45
Current State: 46:[1, 45], Operations: ['22/22=1', '79-34=45']
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
70,
64,
74,
5
] | 68 | [
"74-64=10",
"10/5=2",
"70-2=68"
] | Current State: 68:[70, 64, 74, 5], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [70, 5, 10]
Generated Node #2: [70, 5, 10] from Operation: 74-64=10
Current State: 68:[70, 5, 10], Operations: ['74-64=10']
Exploring Operation: 10/5=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 10/5=2
Current State: 68:[70, 2], Operations: ['74-64=10', '10/5=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
10,
66,
26,
15
] | 18 | [
"10*66=660",
"660/15=44",
"44-26=18"
] | Current State: 18:[10, 66, 26, 15], Operations: []
Exploring Operation: 10*66=660, Resulting Numbers: [26, 15, 660]
Generated Node #2: [26, 15, 660] from Operation: 10*66=660
Current State: 18:[26, 15, 660], Operations: ['10*66=660']
Exploring Operation: 660/15=44, Resulting Numbers: [26, 44]
Generated Node #3: [26, 44] from Operation: 660/15=44
Current State: 18:[26, 44], Operations: ['10*66=660', '660/15=44']
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
13,
26,
19,
54
] | 17 | [
"19-13=6",
"54/6=9",
"26-9=17"
] | Current State: 17:[13, 26, 19, 54], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [26, 54, 6]
Generated Node #2: [26, 54, 6] from Operation: 19-13=6
Current State: 17:[26, 54, 6], Operations: ['19-13=6']
Exploring Operation: 54/6=9, Resulting Numbers: [26, 9]
Generated Node #3: [26, 9] from Operation: 54/6=9
Current State: 17:[26, 9], Operations: ['19-13=6', '54/6=9']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
5,
6,
60,
25
] | 12 | [
"5*6=30",
"30-25=5",
"60/5=12"
] | Current State: 12:[5, 6, 60, 25], Operations: []
Exploring Operation: 5*6=30, Resulting Numbers: [60, 25, 30]
Generated Node #2: [60, 25, 30] from Operation: 5*6=30
Current State: 12:[60, 25, 30], Operations: ['5*6=30']
Exploring Operation: 30-25=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 30-25=5
Current State: 12:[60, 5], Operations: ['5*6=30', '30-25=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
65,
42,
13,
50
] | 32 | [
"65/13=5",
"50/5=10",
"42-10=32"
] | Current State: 32:[65, 42, 13, 50], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [42, 50, 5]
Generated Node #2: [42, 50, 5] from Operation: 65/13=5
Current State: 32:[42, 50, 5], Operations: ['65/13=5']
Exploring Operation: 50/5=10, Resulting Numbers: [42, 10]
Generated Node #3: [42, 10] from Operation: 50/5=10
Current State: 32:[42, 10], Operations: ['65/13=5', '50/5=10']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
69,
35,
64,
69
] | 100 | [
"69/69=1",
"35+64=99",
"1+99=100"
] | Current State: 100:[69, 35, 64, 69], Operations: []
Exploring Operation: 69/69=1, Resulting Numbers: [35, 64, 1]
Generated Node #2: [35, 64, 1] from Operation: 69/69=1
Current State: 100:[35, 64, 1], Operations: ['69/69=1']
Exploring Operation: 35+64=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 35+64=99
Current State: 100:[1, 99], Operations: ['69/69=1', '35+64=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
67,
23,
15,
73
] | 48 | [
"73-67=6",
"23-15=8",
"6*8=48"
] | Current State: 48:[67, 23, 15, 73], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [23, 15, 6]
Generated Node #2: [23, 15, 6] from Operation: 73-67=6
Current State: 48:[23, 15, 6], Operations: ['73-67=6']
Exploring Operation: 23-15=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 23-15=8
Current State: 48:[6, 8], Operations: ['73-67=6', '23-15=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
74,
18,
93,
17
] | 17 | [
"74+18=92",
"93-92=1",
"17*1=17"
] | Current State: 17:[74, 18, 93, 17], Operations: []
Exploring Operation: 74+18=92, Resulting Numbers: [93, 17, 92]
Generated Node #2: [93, 17, 92] from Operation: 74+18=92
Current State: 17:[93, 17, 92], Operations: ['74+18=92']
Exploring Operation: 93-92=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 93-92=1
Current State: 17:[17, 1], Operations: ['74+18=92', '93-92=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
72,
4,
57,
64
] | 11 | [
"72/4=18",
"64-57=7",
"18-7=11"
] | Current State: 11:[72, 4, 57, 64], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [57, 64, 18]
Generated Node #2: [57, 64, 18] from Operation: 72/4=18
Current State: 11:[57, 64, 18], Operations: ['72/4=18']
Exploring Operation: 64-57=7, Resulting Numbers: [18, 7]
Generated Node #3: [18, 7] from Operation: 64-57=7
Current State: 11:[18, 7], Operations: ['72/4=18', '64-57=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
54,
13,
27,
64
] | 45 | [
"54/27=2",
"64/2=32",
"13+32=45"
] | Current State: 45:[54, 13, 27, 64], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [13, 64, 2]
Generated Node #2: [13, 64, 2] from Operation: 54/27=2
Current State: 45:[13, 64, 2], Operations: ['54/27=2']
Exploring Operation: 64/2=32, Resulting Numbers: [13, 32]
Generated Node #3: [13, 32] from Operation: 64/2=32
Current State: 45:[13, 32], Operations: ['54/27=2', '64/2=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
23,
94,
66,
29
] | 22 | [
"23+94=117",
"66+29=95",
"117-95=22"
] | Current State: 22:[23, 94, 66, 29], Operations: []
Exploring Operation: 23+94=117, Resulting Numbers: [66, 29, 117]
Generated Node #2: [66, 29, 117] from Operation: 23+94=117
Current State: 22:[66, 29, 117], Operations: ['23+94=117']
Exploring Operation: 66+29=95, Resulting Numbers: [117, 95]
Generated Node #3: [117, 95] from Operation: 66+29=95
Current State: 22:[117, 95], Operations: ['23+94=117', '66+29=95']
Exploring Operation: 117-95=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
79,
86,
64,
72
] | 32 | [
"79*64=5056",
"86+72=158",
"5056/158=32"
] | Current State: 32:[79, 86, 64, 72], Operations: []
Exploring Operation: 79*64=5056, Resulting Numbers: [86, 72, 5056]
Generated Node #2: [86, 72, 5056] from Operation: 79*64=5056
Current State: 32:[86, 72, 5056], Operations: ['79*64=5056']
Exploring Operation: 86+72=158, Resulting Numbers: [5056, 158]
Generated Node #3: [5056, 158] from Operation: 86+72=158
Current State: 32:[5056, 158], Operations: ['79*64=5056', '86+72=158']
Exploring Operation: 5056/158=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
30,
69,
19,
30
] | 87 | [
"30/30=1",
"69+19=88",
"88-1=87"
] | Current State: 87:[30, 69, 19, 30], Operations: []
Exploring Operation: 30/30=1, Resulting Numbers: [69, 19, 1]
Generated Node #2: [69, 19, 1] from Operation: 30/30=1
Current State: 87:[69, 19, 1], Operations: ['30/30=1']
Exploring Operation: 69+19=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 69+19=88
Current State: 87:[1, 88], Operations: ['30/30=1', '69+19=88']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
88,
61,
53,
53
] | 43 | [
"88+61=149",
"53+53=106",
"149-106=43"
] | Current State: 43:[88, 61, 53, 53], Operations: []
Exploring Operation: 88+61=149, Resulting Numbers: [53, 53, 149]
Generated Node #2: [53, 53, 149] from Operation: 88+61=149
Current State: 43:[53, 53, 149], Operations: ['88+61=149']
Exploring Operation: 53+53=106, Resulting Numbers: [149, 106]
Generated Node #3: [149, 106] from Operation: 53+53=106
Current State: 43:[149, 106], Operations: ['88+61=149', '53+53=106']
Exploring Operation: 149-106=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
60,
9,
39,
75
] | 33 | [
"60+9=69",
"75-39=36",
"69-36=33"
] | Current State: 33:[60, 9, 39, 75], Operations: []
Exploring Operation: 60+9=69, Resulting Numbers: [39, 75, 69]
Generated Node #2: [39, 75, 69] from Operation: 60+9=69
Current State: 33:[39, 75, 69], Operations: ['60+9=69']
Exploring Operation: 75-39=36, Resulting Numbers: [69, 36]
Generated Node #3: [69, 36] from Operation: 75-39=36
Current State: 33:[69, 36], Operations: ['60+9=69', '75-39=36']
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
56,
34,
71
] | 88 | [
"56-5=51",
"71-34=37",
"51+37=88"
] | Current State: 88:[5, 56, 34, 71], Operations: []
Exploring Operation: 56-5=51, Resulting Numbers: [34, 71, 51]
Generated Node #2: [34, 71, 51] from Operation: 56-5=51
Current State: 88:[34, 71, 51], Operations: ['56-5=51']
Exploring Operation: 71-34=37, Resulting Numbers: [51, 37]
Generated Node #3: [51, 37] from Operation: 71-34=37
Current State: 88:[51, 37], Operations: ['56-5=51', '71-34=37']
Exploring Operation: 51+37=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
32,
8,
71,
83
] | 48 | [
"32/8=4",
"83-71=12",
"4*12=48"
] | Current State: 48:[32, 8, 71, 83], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [71, 83, 4]
Generated Node #2: [71, 83, 4] from Operation: 32/8=4
Current State: 48:[71, 83, 4], Operations: ['32/8=4']
Exploring Operation: 83-71=12, Resulting Numbers: [4, 12]
Generated Node #3: [4, 12] from Operation: 83-71=12
Current State: 48:[4, 12], Operations: ['32/8=4', '83-71=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
84,
96,
45,
43
] | 36 | [
"45-43=2",
"96/2=48",
"84-48=36"
] | Current State: 36:[84, 96, 45, 43], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [84, 96, 2]
Generated Node #2: [84, 96, 2] from Operation: 45-43=2
Current State: 36:[84, 96, 2], Operations: ['45-43=2']
Exploring Operation: 96/2=48, Resulting Numbers: [84, 48]
Generated Node #3: [84, 48] from Operation: 96/2=48
Current State: 36:[84, 48], Operations: ['45-43=2', '96/2=48']
Exploring Operation: 84-48=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
79,
81,
53,
26
] | 82 | [
"79-53=26",
"26/26=1",
"81+1=82"
] | Current State: 82:[79, 81, 53, 26], Operations: []
Exploring Operation: 79-53=26, Resulting Numbers: [81, 26, 26]
Generated Node #2: [81, 26, 26] from Operation: 79-53=26
Current State: 82:[81, 26, 26], Operations: ['79-53=26']
Exploring Operation: 26/26=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 26/26=1
Current State: 82:[81, 1], Operations: ['79-53=26', '26/26=1']
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
65,
78,
45,
51
] | 52 | [
"51-45=6",
"78/6=13",
"65-13=52"
] | Current State: 52:[65, 78, 45, 51], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [65, 78, 6]
Generated Node #2: [65, 78, 6] from Operation: 51-45=6
Current State: 52:[65, 78, 6], Operations: ['51-45=6']
Exploring Operation: 78/6=13, Resulting Numbers: [65, 13]
Generated Node #3: [65, 13] from Operation: 78/6=13
Current State: 52:[65, 13], Operations: ['51-45=6', '78/6=13']
Exploring Operation: 65-13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
96,
29,
38,
13
] | 11 | [
"96-38=58",
"58/29=2",
"13-2=11"
] | Current State: 11:[96, 29, 38, 13], Operations: []
Exploring Operation: 96-38=58, Resulting Numbers: [29, 13, 58]
Generated Node #2: [29, 13, 58] from Operation: 96-38=58
Current State: 11:[29, 13, 58], Operations: ['96-38=58']
Exploring Operation: 58/29=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 58/29=2
Current State: 11:[13, 2], Operations: ['96-38=58', '58/29=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
19,
78,
25,
88
] | 54 | [
"78-19=59",
"25+88=113",
"113-59=54"
] | Current State: 54:[19, 78, 25, 88], Operations: []
Exploring Operation: 78-19=59, Resulting Numbers: [25, 88, 59]
Generated Node #2: [25, 88, 59] from Operation: 78-19=59
Current State: 54:[25, 88, 59], Operations: ['78-19=59']
Exploring Operation: 25+88=113, Resulting Numbers: [59, 113]
Generated Node #3: [59, 113] from Operation: 25+88=113
Current State: 54:[59, 113], Operations: ['78-19=59', '25+88=113']
Exploring Operation: 113-59=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
50,
10,
45,
41
] | 44 | [
"50-10=40",
"45-41=4",
"40+4=44"
] | Current State: 44:[50, 10, 45, 41], Operations: []
Exploring Operation: 50-10=40, Resulting Numbers: [45, 41, 40]
Generated Node #2: [45, 41, 40] from Operation: 50-10=40
Current State: 44:[45, 41, 40], Operations: ['50-10=40']
Exploring Operation: 45-41=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 45-41=4
Current State: 44:[40, 4], Operations: ['50-10=40', '45-41=4']
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
76,
2,
24,
47
] | 97 | [
"76-2=74",
"47-24=23",
"74+23=97"
] | Current State: 97:[76, 2, 24, 47], Operations: []
Exploring Operation: 76-2=74, Resulting Numbers: [24, 47, 74]
Generated Node #2: [24, 47, 74] from Operation: 76-2=74
Current State: 97:[24, 47, 74], Operations: ['76-2=74']
Exploring Operation: 47-24=23, Resulting Numbers: [74, 23]
Generated Node #3: [74, 23] from Operation: 47-24=23
Current State: 97:[74, 23], Operations: ['76-2=74', '47-24=23']
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
94,
54,
58,
68
] | 61 | [
"94+68=162",
"162/54=3",
"58+3=61"
] | Current State: 61:[94, 54, 58, 68], Operations: []
Exploring Operation: 94+68=162, Resulting Numbers: [54, 58, 162]
Generated Node #2: [54, 58, 162] from Operation: 94+68=162
Current State: 61:[54, 58, 162], Operations: ['94+68=162']
Exploring Operation: 162/54=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 162/54=3
Current State: 61:[58, 3], Operations: ['94+68=162', '162/54=3']
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
67,
4,
27,
29
] | 12 | [
"67+29=96",
"4*27=108",
"108-96=12"
] | Current State: 12:[67, 4, 27, 29], Operations: []
Exploring Operation: 67+29=96, Resulting Numbers: [4, 27, 96]
Generated Node #2: [4, 27, 96] from Operation: 67+29=96
Current State: 12:[4, 27, 96], Operations: ['67+29=96']
Exploring Operation: 4*27=108, Resulting Numbers: [96, 108]
Generated Node #3: [96, 108] from Operation: 4*27=108
Current State: 12:[96, 108], Operations: ['67+29=96', '4*27=108']
Exploring Operation: 108-96=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
40,
83,
53,
55
] | 86 | [
"83-40=43",
"55-53=2",
"43*2=86"
] | Current State: 86:[40, 83, 53, 55], Operations: []
Exploring Operation: 83-40=43, Resulting Numbers: [53, 55, 43]
Generated Node #2: [53, 55, 43] from Operation: 83-40=43
Current State: 86:[53, 55, 43], Operations: ['83-40=43']
Exploring Operation: 55-53=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 55-53=2
Current State: 86:[43, 2], Operations: ['83-40=43', '55-53=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
24,
47,
71,
77
] | 76 | [
"24+47=71",
"71/71=1",
"77-1=76"
] | Current State: 76:[24, 47, 71, 77], Operations: []
Exploring Operation: 24+47=71, Resulting Numbers: [71, 77, 71]
Generated Node #2: [71, 77, 71] from Operation: 24+47=71
Current State: 76:[71, 77, 71], Operations: ['24+47=71']
Exploring Operation: 71/71=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 71/71=1
Current State: 76:[77, 1], Operations: ['24+47=71', '71/71=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
44,
72,
82,
9
] | 86 | [
"44+82=126",
"126/9=14",
"72+14=86"
] | Current State: 86:[44, 72, 82, 9], Operations: []
Exploring Operation: 44+82=126, Resulting Numbers: [72, 9, 126]
Generated Node #2: [72, 9, 126] from Operation: 44+82=126
Current State: 86:[72, 9, 126], Operations: ['44+82=126']
Exploring Operation: 126/9=14, Resulting Numbers: [72, 14]
Generated Node #3: [72, 14] from Operation: 126/9=14
Current State: 86:[72, 14], Operations: ['44+82=126', '126/9=14']
Exploring Operation: 72+14=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
76,
96,
19,
99
] | 75 | [
"76/19=4",
"96/4=24",
"99-24=75"
] | Current State: 75:[76, 96, 19, 99], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [96, 99, 4]
Generated Node #2: [96, 99, 4] from Operation: 76/19=4
Current State: 75:[96, 99, 4], Operations: ['76/19=4']
Exploring Operation: 96/4=24, Resulting Numbers: [99, 24]
Generated Node #3: [99, 24] from Operation: 96/4=24
Current State: 75:[99, 24], Operations: ['76/19=4', '96/4=24']
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
91,
52,
33,
80
] | 96 | [
"91+52=143",
"80-33=47",
"143-47=96"
] | Current State: 96:[91, 52, 33, 80], Operations: []
Exploring Operation: 91+52=143, Resulting Numbers: [33, 80, 143]
Generated Node #2: [33, 80, 143] from Operation: 91+52=143
Current State: 96:[33, 80, 143], Operations: ['91+52=143']
Exploring Operation: 80-33=47, Resulting Numbers: [143, 47]
Generated Node #3: [143, 47] from Operation: 80-33=47
Current State: 96:[143, 47], Operations: ['91+52=143', '80-33=47']
Exploring Operation: 143-47=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
6,
28,
2,
1
] | 56 | [
"6*28=168",
"2+1=3",
"168/3=56"
] | Current State: 56:[6, 28, 2, 1], Operations: []
Exploring Operation: 6*28=168, Resulting Numbers: [2, 1, 168]
Generated Node #2: [2, 1, 168] from Operation: 6*28=168
Current State: 56:[2, 1, 168], Operations: ['6*28=168']
Exploring Operation: 2+1=3, Resulting Numbers: [168, 3]
Generated Node #3: [168, 3] from Operation: 2+1=3
Current State: 56:[168, 3], Operations: ['6*28=168', '2+1=3']
Exploring Operation: 168/3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
26,
96,
72,
82
] | 64 | [
"26+82=108",
"96*72=6912",
"6912/108=64"
] | Current State: 64:[26, 96, 72, 82], Operations: []
Exploring Operation: 26+82=108, Resulting Numbers: [96, 72, 108]
Generated Node #2: [96, 72, 108] from Operation: 26+82=108
Current State: 64:[96, 72, 108], Operations: ['26+82=108']
Exploring Operation: 96*72=6912, Resulting Numbers: [108, 6912]
Generated Node #3: [108, 6912] from Operation: 96*72=6912
Current State: 64:[108, 6912], Operations: ['26+82=108', '96*72=6912']
Exploring Operation: 6912/108=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
5,
76,
40,
52
] | 93 | [
"5+76=81",
"52-40=12",
"81+12=93"
] | Current State: 93:[5, 76, 40, 52], Operations: []
Exploring Operation: 5+76=81, Resulting Numbers: [40, 52, 81]
Generated Node #2: [40, 52, 81] from Operation: 5+76=81
Current State: 93:[40, 52, 81], Operations: ['5+76=81']
Exploring Operation: 52-40=12, Resulting Numbers: [81, 12]
Generated Node #3: [81, 12] from Operation: 52-40=12
Current State: 93:[81, 12], Operations: ['5+76=81', '52-40=12']
Exploring Operation: 81+12=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
6,
11,
41,
73
] | 15 | [
"6+11=17",
"73-41=32",
"32-17=15"
] | Current State: 15:[6, 11, 41, 73], Operations: []
Exploring Operation: 6+11=17, Resulting Numbers: [41, 73, 17]
Generated Node #2: [41, 73, 17] from Operation: 6+11=17
Current State: 15:[41, 73, 17], Operations: ['6+11=17']
Exploring Operation: 73-41=32, Resulting Numbers: [17, 32]
Generated Node #3: [17, 32] from Operation: 73-41=32
Current State: 15:[17, 32], Operations: ['6+11=17', '73-41=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
12,
39,
58,
4
] | 57 | [
"12/4=3",
"58-39=19",
"3*19=57"
] | Current State: 57:[12, 39, 58, 4], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [39, 58, 3]
Generated Node #2: [39, 58, 3] from Operation: 12/4=3
Current State: 57:[39, 58, 3], Operations: ['12/4=3']
Exploring Operation: 58-39=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 58-39=19
Current State: 57:[3, 19], Operations: ['12/4=3', '58-39=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
82,
5,
83,
18
] | 85 | [
"83-82=1",
"18-1=17",
"5*17=85"
] | Current State: 85:[82, 5, 83, 18], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [5, 18, 1]
Generated Node #2: [5, 18, 1] from Operation: 83-82=1
Current State: 85:[5, 18, 1], Operations: ['83-82=1']
Exploring Operation: 18-1=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 18-1=17
Current State: 85:[5, 17], Operations: ['83-82=1', '18-1=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
93,
38,
38,
7
] | 99 | [
"93+7=100",
"38/38=1",
"100-1=99"
] | Current State: 99:[93, 38, 38, 7], Operations: []
Exploring Operation: 93+7=100, Resulting Numbers: [38, 38, 100]
Generated Node #2: [38, 38, 100] from Operation: 93+7=100
Current State: 99:[38, 38, 100], Operations: ['93+7=100']
Exploring Operation: 38/38=1, Resulting Numbers: [100, 1]
Generated Node #3: [100, 1] from Operation: 38/38=1
Current State: 99:[100, 1], Operations: ['93+7=100', '38/38=1']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
47,
39,
4,
58
] | 32 | [
"47+39=86",
"58-4=54",
"86-54=32"
] | Current State: 32:[47, 39, 4, 58], Operations: []
Exploring Operation: 47+39=86, Resulting Numbers: [4, 58, 86]
Generated Node #2: [4, 58, 86] from Operation: 47+39=86
Current State: 32:[4, 58, 86], Operations: ['47+39=86']
Exploring Operation: 58-4=54, Resulting Numbers: [86, 54]
Generated Node #3: [86, 54] from Operation: 58-4=54
Current State: 32:[86, 54], Operations: ['47+39=86', '58-4=54']
Exploring Operation: 86-54=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
21,
45,
42,
88
] | 56 | [
"21+45=66",
"42*88=3696",
"3696/66=56"
] | Current State: 56:[21, 45, 42, 88], Operations: []
Exploring Operation: 21+45=66, Resulting Numbers: [42, 88, 66]
Generated Node #2: [42, 88, 66] from Operation: 21+45=66
Current State: 56:[42, 88, 66], Operations: ['21+45=66']
Exploring Operation: 42*88=3696, Resulting Numbers: [66, 3696]
Generated Node #3: [66, 3696] from Operation: 42*88=3696
Current State: 56:[66, 3696], Operations: ['21+45=66', '42*88=3696']
Exploring Operation: 3696/66=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
7,
67,
28,
87
] | 42 | [
"7*28=196",
"67+87=154",
"196-154=42"
] | Current State: 42:[7, 67, 28, 87], Operations: []
Exploring Operation: 7*28=196, Resulting Numbers: [67, 87, 196]
Generated Node #2: [67, 87, 196] from Operation: 7*28=196
Current State: 42:[67, 87, 196], Operations: ['7*28=196']
Exploring Operation: 67+87=154, Resulting Numbers: [196, 154]
Generated Node #3: [196, 154] from Operation: 67+87=154
Current State: 42:[196, 154], Operations: ['7*28=196', '67+87=154']
Exploring Operation: 196-154=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
98,
14,
82,
10
] | 84 | [
"98-82=16",
"16-10=6",
"14*6=84"
] | Current State: 84:[98, 14, 82, 10], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [14, 10, 16]
Generated Node #2: [14, 10, 16] from Operation: 98-82=16
Current State: 84:[14, 10, 16], Operations: ['98-82=16']
Exploring Operation: 16-10=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 16-10=6
Current State: 84:[14, 6], Operations: ['98-82=16', '16-10=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
23,
55,
76,
94
] | 92 | [
"23+55=78",
"76+94=170",
"170-78=92"
] | Current State: 92:[23, 55, 76, 94], Operations: []
Exploring Operation: 23+55=78, Resulting Numbers: [76, 94, 78]
Generated Node #2: [76, 94, 78] from Operation: 23+55=78
Current State: 92:[76, 94, 78], Operations: ['23+55=78']
Exploring Operation: 76+94=170, Resulting Numbers: [78, 170]
Generated Node #3: [78, 170] from Operation: 76+94=170
Current State: 92:[78, 170], Operations: ['23+55=78', '76+94=170']
Exploring Operation: 170-78=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
50,
18,
31,
4
] | 33 | [
"50+18=68",
"31+4=35",
"68-35=33"
] | Current State: 33:[50, 18, 31, 4], Operations: []
Exploring Operation: 50+18=68, Resulting Numbers: [31, 4, 68]
Generated Node #2: [31, 4, 68] from Operation: 50+18=68
Current State: 33:[31, 4, 68], Operations: ['50+18=68']
Exploring Operation: 31+4=35, Resulting Numbers: [68, 35]
Generated Node #3: [68, 35] from Operation: 31+4=35
Current State: 33:[68, 35], Operations: ['50+18=68', '31+4=35']
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
96,
24,
15,
76
] | 11 | [
"96-24=72",
"76-15=61",
"72-61=11"
] | Current State: 11:[96, 24, 15, 76], Operations: []
Exploring Operation: 96-24=72, Resulting Numbers: [15, 76, 72]
Generated Node #2: [15, 76, 72] from Operation: 96-24=72
Current State: 11:[15, 76, 72], Operations: ['96-24=72']
Exploring Operation: 76-15=61, Resulting Numbers: [72, 61]
Generated Node #3: [72, 61] from Operation: 76-15=61
Current State: 11:[72, 61], Operations: ['96-24=72', '76-15=61']
Exploring Operation: 72-61=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
70,
6,
50,
15
] | 29 | [
"70-6=64",
"50-15=35",
"64-35=29"
] | Current State: 29:[70, 6, 50, 15], Operations: []
Exploring Operation: 70-6=64, Resulting Numbers: [50, 15, 64]
Generated Node #2: [50, 15, 64] from Operation: 70-6=64
Current State: 29:[50, 15, 64], Operations: ['70-6=64']
Exploring Operation: 50-15=35, Resulting Numbers: [64, 35]
Generated Node #3: [64, 35] from Operation: 50-15=35
Current State: 29:[64, 35], Operations: ['70-6=64', '50-15=35']
Exploring Operation: 64-35=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
69,
48,
73,
92
] | 98 | [
"69+48=117",
"92-73=19",
"117-19=98"
] | Current State: 98:[69, 48, 73, 92], Operations: []
Exploring Operation: 69+48=117, Resulting Numbers: [73, 92, 117]
Generated Node #2: [73, 92, 117] from Operation: 69+48=117
Current State: 98:[73, 92, 117], Operations: ['69+48=117']
Exploring Operation: 92-73=19, Resulting Numbers: [117, 19]
Generated Node #3: [117, 19] from Operation: 92-73=19
Current State: 98:[117, 19], Operations: ['69+48=117', '92-73=19']
Exploring Operation: 117-19=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
59,
32,
62,
53
] | 24 | [
"59+32=91",
"62+53=115",
"115-91=24"
] | Current State: 24:[59, 32, 62, 53], Operations: []
Exploring Operation: 59+32=91, Resulting Numbers: [62, 53, 91]
Generated Node #2: [62, 53, 91] from Operation: 59+32=91
Current State: 24:[62, 53, 91], Operations: ['59+32=91']
Exploring Operation: 62+53=115, Resulting Numbers: [91, 115]
Generated Node #3: [91, 115] from Operation: 62+53=115
Current State: 24:[91, 115], Operations: ['59+32=91', '62+53=115']
Exploring Operation: 115-91=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
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