nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
46,
26,
26,
60
] | 29 | [
"46-26=20",
"60/20=3",
"26+3=29"
] | Current State: 29:[46, 26, 26, 60], Operations: []
Exploring Operation: 46-26=20, Resulting Numbers: [60, 20]
Generated Node #2: [60, 20] from Operation: 46-26=20
Current State: 29:[60, 20], Operations: ['46-26=20']
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,29 equal: Goal Reached
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
3,
56,
64,
83
] | 73 | [
"83-56=27",
"27/3=9",
"64+9=73"
] | Current State: 73:[3, 56, 64, 83], Operations: []
Exploring Operation: 83-56=27, Resulting Numbers: [3, 64, 27]
Generated Node #2: [3, 64, 27] from Operation: 83-56=27
Current State: 73:[3, 64, 27], Operations: ['83-56=27']
Exploring Operation: 27/3=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 27/3=9
Current State: 73:[64, 9], Operations: ['83-56=27', '27/3=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
96,
75,
10,
5
] | 29 | [
"96-75=21",
"10*5=50",
"50-21=29"
] | Current State: 29:[96, 75, 10, 5], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [10, 5, 21]
Generated Node #2: [10, 5, 21] from Operation: 96-75=21
Current State: 29:[10, 5, 21], Operations: ['96-75=21']
Exploring Operation: 10*5=50, Resulting Numbers: [21, 50]
Generated Node #3: [21, 50] from Operation: 10*5=50
Current State: 29:[21, 50], Operations: ['96-75=21', '10*5=50']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
38,
40,
15,
19
] | 35 | [
"38/19=2",
"40/2=20",
"15+20=35"
] | Current State: 35:[38, 40, 15, 19], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [40, 15, 2]
Generated Node #2: [40, 15, 2] from Operation: 38/19=2
Current State: 35:[40, 15, 2], Operations: ['38/19=2']
Exploring Operation: 40/2=20, Resulting Numbers: [15, 20]
Generated Node #3: [15, 20] from Operation: 40/2=20
Current State: 35:[15, 20], Operations: ['38/19=2', '40/2=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
6,
82,
78,
95
] | 93 | [
"82-6=76",
"95-78=17",
"76+17=93"
] | Current State: 93:[6, 82, 78, 95], Operations: []
Exploring Operation: 82-6=76, Resulting Numbers: [78, 95, 76]
Generated Node #2: [78, 95, 76] from Operation: 82-6=76
Current State: 93:[78, 95, 76], Operations: ['82-6=76']
Exploring Operation: 95-78=17, Resulting Numbers: [76, 17]
Generated Node #3: [76, 17] from Operation: 95-78=17
Current State: 93:[76, 17], Operations: ['82-6=76', '95-78=17']
Exploring Operation: 76+17=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
3,
91,
30,
39
] | 74 | [
"39/3=13",
"91-30=61",
"13+61=74"
] | Current State: 74:[3, 91, 30, 39], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [91, 30, 13]
Generated Node #2: [91, 30, 13] from Operation: 39/3=13
Current State: 74:[91, 30, 13], Operations: ['39/3=13']
Exploring Operation: 91-30=61, Resulting Numbers: [13, 61]
Generated Node #3: [13, 61] from Operation: 91-30=61
Current State: 74:[13, 61], Operations: ['39/3=13', '91-30=61']
Exploring Operation: 13+61=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
52,
47,
82,
7
] | 24 | [
"52+47=99",
"82-7=75",
"99-75=24"
] | Current State: 24:[52, 47, 82, 7], Operations: []
Exploring Operation: 52+47=99, Resulting Numbers: [82, 7, 99]
Generated Node #2: [82, 7, 99] from Operation: 52+47=99
Current State: 24:[82, 7, 99], Operations: ['52+47=99']
Exploring Operation: 82-7=75, Resulting Numbers: [99, 75]
Generated Node #3: [99, 75] from Operation: 82-7=75
Current State: 24:[99, 75], Operations: ['52+47=99', '82-7=75']
Exploring Operation: 99-75=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
26,
50,
13,
40
] | 92 | [
"26/13=2",
"50+40=90",
"2+90=92"
] | Current State: 92:[26, 50, 13, 40], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [50, 40, 2]
Generated Node #2: [50, 40, 2] from Operation: 26/13=2
Current State: 92:[50, 40, 2], Operations: ['26/13=2']
Exploring Operation: 50+40=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 50+40=90
Current State: 92:[2, 90], Operations: ['26/13=2', '50+40=90']
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
21,
4,
60,
63
] | 96 | [
"60-21=39",
"63-39=24",
"4*24=96"
] | Current State: 96:[21, 4, 60, 63], Operations: []
Exploring Operation: 60-21=39, Resulting Numbers: [4, 63, 39]
Generated Node #2: [4, 63, 39] from Operation: 60-21=39
Current State: 96:[4, 63, 39], Operations: ['60-21=39']
Exploring Operation: 63-39=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 63-39=24
Current State: 96:[4, 24], Operations: ['60-21=39', '63-39=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
57,
29,
45,
51
] | 58 | [
"57+45=102",
"29*102=2958",
"2958/51=58"
] | Current State: 58:[57, 29, 45, 51], Operations: []
Exploring Operation: 57+45=102, Resulting Numbers: [29, 51, 102]
Generated Node #2: [29, 51, 102] from Operation: 57+45=102
Current State: 58:[29, 51, 102], Operations: ['57+45=102']
Exploring Operation: 29*102=2958, Resulting Numbers: [51, 2958]
Generated Node #3: [51, 2958] from Operation: 29*102=2958
Current State: 58:[51, 2958], Operations: ['57+45=102', '29*102=2958']
Exploring Operation: 2958/51=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
77,
66,
80,
28
] | 41 | [
"77-66=11",
"80-28=52",
"52-11=41"
] | Current State: 41:[77, 66, 80, 28], Operations: []
Exploring Operation: 77-66=11, Resulting Numbers: [80, 28, 11]
Generated Node #2: [80, 28, 11] from Operation: 77-66=11
Current State: 41:[80, 28, 11], Operations: ['77-66=11']
Exploring Operation: 80-28=52, Resulting Numbers: [11, 52]
Generated Node #3: [11, 52] from Operation: 80-28=52
Current State: 41:[11, 52], Operations: ['77-66=11', '80-28=52']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
74,
49,
15,
85
] | 95 | [
"74-49=25",
"85-15=70",
"25+70=95"
] | Current State: 95:[74, 49, 15, 85], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [15, 85, 25]
Generated Node #2: [15, 85, 25] from Operation: 74-49=25
Current State: 95:[15, 85, 25], Operations: ['74-49=25']
Exploring Operation: 85-15=70, Resulting Numbers: [25, 70]
Generated Node #3: [25, 70] from Operation: 85-15=70
Current State: 95:[25, 70], Operations: ['74-49=25', '85-15=70']
Exploring Operation: 25+70=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
89,
45,
50
] | 21 | [
"89+45=134",
"134-50=84",
"84/4=21"
] | Current State: 21:[4, 89, 45, 50], Operations: []
Exploring Operation: 89+45=134, Resulting Numbers: [4, 50, 134]
Generated Node #2: [4, 50, 134] from Operation: 89+45=134
Current State: 21:[4, 50, 134], Operations: ['89+45=134']
Exploring Operation: 134-50=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 134-50=84
Current State: 21:[4, 84], Operations: ['89+45=134', '134-50=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
36,
35,
71,
45
] | 46 | [
"36+35=71",
"71/71=1",
"45+1=46"
] | Current State: 46:[36, 35, 71, 45], Operations: []
Exploring Operation: 36+35=71, Resulting Numbers: [71, 45, 71]
Generated Node #2: [71, 45, 71] from Operation: 36+35=71
Current State: 46:[71, 45, 71], Operations: ['36+35=71']
Exploring Operation: 71/71=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 71/71=1
Current State: 46:[45, 1], Operations: ['36+35=71', '71/71=1']
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
88,
28,
69,
31
] | 57 | [
"88-69=19",
"31-28=3",
"19*3=57"
] | Current State: 57:[88, 28, 69, 31], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [28, 31, 19]
Generated Node #2: [28, 31, 19] from Operation: 88-69=19
Current State: 57:[28, 31, 19], Operations: ['88-69=19']
Exploring Operation: 31-28=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 31-28=3
Current State: 57:[19, 3], Operations: ['88-69=19', '31-28=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
58,
71,
3,
34
] | 77 | [
"58+71=129",
"129/3=43",
"34+43=77"
] | Current State: 77:[58, 71, 3, 34], Operations: []
Exploring Operation: 58+71=129, Resulting Numbers: [3, 34, 129]
Generated Node #2: [3, 34, 129] from Operation: 58+71=129
Current State: 77:[3, 34, 129], Operations: ['58+71=129']
Exploring Operation: 129/3=43, Resulting Numbers: [34, 43]
Generated Node #3: [34, 43] from Operation: 129/3=43
Current State: 77:[34, 43], Operations: ['58+71=129', '129/3=43']
Exploring Operation: 34+43=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
6,
60,
72,
93
] | 75 | [
"60-6=54",
"93-72=21",
"54+21=75"
] | Current State: 75:[6, 60, 72, 93], Operations: []
Exploring Operation: 60-6=54, Resulting Numbers: [72, 93, 54]
Generated Node #2: [72, 93, 54] from Operation: 60-6=54
Current State: 75:[72, 93, 54], Operations: ['60-6=54']
Exploring Operation: 93-72=21, Resulting Numbers: [54, 21]
Generated Node #3: [54, 21] from Operation: 93-72=21
Current State: 75:[54, 21], Operations: ['60-6=54', '93-72=21']
Exploring Operation: 54+21=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
30,
26,
61,
79
] | 72 | [
"30-26=4",
"79-61=18",
"4*18=72"
] | Current State: 72:[30, 26, 61, 79], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [61, 79, 4]
Generated Node #2: [61, 79, 4] from Operation: 30-26=4
Current State: 72:[61, 79, 4], Operations: ['30-26=4']
Exploring Operation: 79-61=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 79-61=18
Current State: 72:[4, 18], Operations: ['30-26=4', '79-61=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
77,
80,
20,
64
] | 73 | [
"77+80=157",
"20+64=84",
"157-84=73"
] | Current State: 73:[77, 80, 20, 64], Operations: []
Exploring Operation: 77+80=157, Resulting Numbers: [20, 64, 157]
Generated Node #2: [20, 64, 157] from Operation: 77+80=157
Current State: 73:[20, 64, 157], Operations: ['77+80=157']
Exploring Operation: 20+64=84, Resulting Numbers: [157, 84]
Generated Node #3: [157, 84] from Operation: 20+64=84
Current State: 73:[157, 84], Operations: ['77+80=157', '20+64=84']
Exploring Operation: 157-84=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
39,
5,
30,
80
] | 17 | [
"30+80=110",
"110/5=22",
"39-22=17"
] | Current State: 17:[39, 5, 30, 80], Operations: []
Exploring Operation: 30+80=110, Resulting Numbers: [39, 5, 110]
Generated Node #2: [39, 5, 110] from Operation: 30+80=110
Current State: 17:[39, 5, 110], Operations: ['30+80=110']
Exploring Operation: 110/5=22, Resulting Numbers: [39, 22]
Generated Node #3: [39, 22] from Operation: 110/5=22
Current State: 17:[39, 22], Operations: ['30+80=110', '110/5=22']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
79,
48,
92,
26
] | 46 | [
"92-79=13",
"26/13=2",
"48-2=46"
] | Current State: 46:[79, 48, 92, 26], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [48, 26, 13]
Generated Node #2: [48, 26, 13] from Operation: 92-79=13
Current State: 46:[48, 26, 13], Operations: ['92-79=13']
Exploring Operation: 26/13=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 26/13=2
Current State: 46:[48, 2], Operations: ['92-79=13', '26/13=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
18,
59,
47,
18
] | 48 | [
"18+59=77",
"47-18=29",
"77-29=48"
] | Current State: 48:[18, 59, 47, 18], Operations: []
Exploring Operation: 18+59=77, Resulting Numbers: [47, 77]
Generated Node #2: [47, 77] from Operation: 18+59=77
Current State: 48:[47, 77], Operations: ['18+59=77']
Exploring Operation: 47-18=29, Resulting Numbers: [77, 29]
Generated Node #3: [77, 29] from Operation: 47-18=29
Current State: 48:[77, 29], Operations: ['18+59=77', '47-18=29']
Exploring Operation: 77-29=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
54,
3,
29,
11
] | 50 | [
"54+29=83",
"3*11=33",
"83-33=50"
] | Current State: 50:[54, 3, 29, 11], Operations: []
Exploring Operation: 54+29=83, Resulting Numbers: [3, 11, 83]
Generated Node #2: [3, 11, 83] from Operation: 54+29=83
Current State: 50:[3, 11, 83], Operations: ['54+29=83']
Exploring Operation: 3*11=33, Resulting Numbers: [83, 33]
Generated Node #3: [83, 33] from Operation: 3*11=33
Current State: 50:[83, 33], Operations: ['54+29=83', '3*11=33']
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
60,
60,
61,
27
] | 88 | [
"60-60=0",
"61+27=88",
"0+88=88"
] | Current State: 88:[60, 60, 61, 27], Operations: []
Exploring Operation: 60-60=0, Resulting Numbers: [61, 27, 0]
Generated Node #2: [61, 27, 0] from Operation: 60-60=0
Current State: 88:[61, 27, 0], Operations: ['60-60=0']
Exploring Operation: 61+27=88, Resulting Numbers: [0, 88]
Generated Node #3: [0, 88] from Operation: 61+27=88
Current State: 88:[0, 88], Operations: ['60-60=0', '61+27=88']
Exploring Operation: 0+88=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
2,
91,
55,
79
] | 98 | [
"2*55=110",
"91-79=12",
"110-12=98"
] | Current State: 98:[2, 91, 55, 79], Operations: []
Exploring Operation: 2*55=110, Resulting Numbers: [91, 79, 110]
Generated Node #2: [91, 79, 110] from Operation: 2*55=110
Current State: 98:[91, 79, 110], Operations: ['2*55=110']
Exploring Operation: 91-79=12, Resulting Numbers: [110, 12]
Generated Node #3: [110, 12] from Operation: 91-79=12
Current State: 98:[110, 12], Operations: ['2*55=110', '91-79=12']
Exploring Operation: 110-12=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
32,
55,
57,
12
] | 40 | [
"32-12=20",
"57-55=2",
"20*2=40"
] | Current State: 40:[32, 55, 57, 12], Operations: []
Exploring Operation: 32-12=20, Resulting Numbers: [55, 57, 20]
Generated Node #2: [55, 57, 20] from Operation: 32-12=20
Current State: 40:[55, 57, 20], Operations: ['32-12=20']
Exploring Operation: 57-55=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 57-55=2
Current State: 40:[20, 2], Operations: ['32-12=20', '57-55=2']
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
55,
21,
24,
16
] | 35 | [
"21-16=5",
"55/5=11",
"24+11=35"
] | Current State: 35:[55, 21, 24, 16], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [55, 24, 5]
Generated Node #2: [55, 24, 5] from Operation: 21-16=5
Current State: 35:[55, 24, 5], Operations: ['21-16=5']
Exploring Operation: 55/5=11, Resulting Numbers: [24, 11]
Generated Node #3: [24, 11] from Operation: 55/5=11
Current State: 35:[24, 11], Operations: ['21-16=5', '55/5=11']
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
80,
91,
13,
9
] | 78 | [
"80-9=71",
"91/13=7",
"71+7=78"
] | Current State: 78:[80, 91, 13, 9], Operations: []
Exploring Operation: 80-9=71, Resulting Numbers: [91, 13, 71]
Generated Node #2: [91, 13, 71] from Operation: 80-9=71
Current State: 78:[91, 13, 71], Operations: ['80-9=71']
Exploring Operation: 91/13=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 91/13=7
Current State: 78:[71, 7], Operations: ['80-9=71', '91/13=7']
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
7,
7,
64,
55
] | 58 | [
"7*7=49",
"64-55=9",
"49+9=58"
] | Current State: 58:[7, 7, 64, 55], Operations: []
Exploring Operation: 7*7=49, Resulting Numbers: [64, 55, 49]
Generated Node #2: [64, 55, 49] from Operation: 7*7=49
Current State: 58:[64, 55, 49], Operations: ['7*7=49']
Exploring Operation: 64-55=9, Resulting Numbers: [49, 9]
Generated Node #3: [49, 9] from Operation: 64-55=9
Current State: 58:[49, 9], Operations: ['7*7=49', '64-55=9']
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
1,
66,
68,
98
] | 36 | [
"1*66=66",
"98-68=30",
"66-30=36"
] | Current State: 36:[1, 66, 68, 98], Operations: []
Exploring Operation: 1*66=66, Resulting Numbers: [68, 98, 66]
Generated Node #2: [68, 98, 66] from Operation: 1*66=66
Current State: 36:[68, 98, 66], Operations: ['1*66=66']
Exploring Operation: 98-68=30, Resulting Numbers: [66, 30]
Generated Node #3: [66, 30] from Operation: 98-68=30
Current State: 36:[66, 30], Operations: ['1*66=66', '98-68=30']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
14,
47,
53,
87
] | 95 | [
"14+47=61",
"87-53=34",
"61+34=95"
] | Current State: 95:[14, 47, 53, 87], Operations: []
Exploring Operation: 14+47=61, Resulting Numbers: [53, 87, 61]
Generated Node #2: [53, 87, 61] from Operation: 14+47=61
Current State: 95:[53, 87, 61], Operations: ['14+47=61']
Exploring Operation: 87-53=34, Resulting Numbers: [61, 34]
Generated Node #3: [61, 34] from Operation: 87-53=34
Current State: 95:[61, 34], Operations: ['14+47=61', '87-53=34']
Exploring Operation: 61+34=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
91,
61,
79,
84
] | 54 | [
"91-79=12",
"84/12=7",
"61-7=54"
] | Current State: 54:[91, 61, 79, 84], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [61, 84, 12]
Generated Node #2: [61, 84, 12] from Operation: 91-79=12
Current State: 54:[61, 84, 12], Operations: ['91-79=12']
Exploring Operation: 84/12=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 84/12=7
Current State: 54:[61, 7], Operations: ['91-79=12', '84/12=7']
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
58,
26,
66,
71
] | 53 | [
"58+26=84",
"66+71=137",
"137-84=53"
] | Current State: 53:[58, 26, 66, 71], Operations: []
Exploring Operation: 58+26=84, Resulting Numbers: [66, 71, 84]
Generated Node #2: [66, 71, 84] from Operation: 58+26=84
Current State: 53:[66, 71, 84], Operations: ['58+26=84']
Exploring Operation: 66+71=137, Resulting Numbers: [84, 137]
Generated Node #3: [84, 137] from Operation: 66+71=137
Current State: 53:[84, 137], Operations: ['58+26=84', '66+71=137']
Exploring Operation: 137-84=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
80,
46,
18,
34
] | 19 | [
"80-46=34",
"34/34=1",
"18+1=19"
] | Current State: 19:[80, 46, 18, 34], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [18, 34, 34]
Generated Node #2: [18, 34, 34] from Operation: 80-46=34
Current State: 19:[18, 34, 34], Operations: ['80-46=34']
Exploring Operation: 34/34=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 34/34=1
Current State: 19:[18, 1], Operations: ['80-46=34', '34/34=1']
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
10,
35,
16,
45
] | 24 | [
"35+45=80",
"80/10=8",
"16+8=24"
] | Current State: 24:[10, 35, 16, 45], Operations: []
Exploring Operation: 35+45=80, Resulting Numbers: [10, 16, 80]
Generated Node #2: [10, 16, 80] from Operation: 35+45=80
Current State: 24:[10, 16, 80], Operations: ['35+45=80']
Exploring Operation: 80/10=8, Resulting Numbers: [16, 8]
Generated Node #3: [16, 8] from Operation: 80/10=8
Current State: 24:[16, 8], Operations: ['35+45=80', '80/10=8']
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
45,
22,
5,
25
] | 30 | [
"25-22=3",
"5*3=15",
"45-15=30"
] | Current State: 30:[45, 22, 5, 25], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [45, 5, 3]
Generated Node #2: [45, 5, 3] from Operation: 25-22=3
Current State: 30:[45, 5, 3], Operations: ['25-22=3']
Exploring Operation: 5*3=15, Resulting Numbers: [45, 15]
Generated Node #3: [45, 15] from Operation: 5*3=15
Current State: 30:[45, 15], Operations: ['25-22=3', '5*3=15']
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
6,
75,
19,
13
] | 22 | [
"6*13=78",
"75-19=56",
"78-56=22"
] | Current State: 22:[6, 75, 19, 13], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [75, 19, 78]
Generated Node #2: [75, 19, 78] from Operation: 6*13=78
Current State: 22:[75, 19, 78], Operations: ['6*13=78']
Exploring Operation: 75-19=56, Resulting Numbers: [78, 56]
Generated Node #3: [78, 56] from Operation: 75-19=56
Current State: 22:[78, 56], Operations: ['6*13=78', '75-19=56']
Exploring Operation: 78-56=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
63,
24,
9,
53
] | 83 | [
"63-24=39",
"53-9=44",
"39+44=83"
] | Current State: 83:[63, 24, 9, 53], Operations: []
Exploring Operation: 63-24=39, Resulting Numbers: [9, 53, 39]
Generated Node #2: [9, 53, 39] from Operation: 63-24=39
Current State: 83:[9, 53, 39], Operations: ['63-24=39']
Exploring Operation: 53-9=44, Resulting Numbers: [39, 44]
Generated Node #3: [39, 44] from Operation: 53-9=44
Current State: 83:[39, 44], Operations: ['63-24=39', '53-9=44']
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
40,
25,
42,
30
] | 85 | [
"42-40=2",
"30*2=60",
"25+60=85"
] | Current State: 85:[40, 25, 42, 30], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [25, 30, 2]
Generated Node #2: [25, 30, 2] from Operation: 42-40=2
Current State: 85:[25, 30, 2], Operations: ['42-40=2']
Exploring Operation: 30*2=60, Resulting Numbers: [25, 60]
Generated Node #3: [25, 60] from Operation: 30*2=60
Current State: 85:[25, 60], Operations: ['42-40=2', '30*2=60']
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
3,
61,
37,
75
] | 54 | [
"61-3=58",
"37+75=112",
"112-58=54"
] | Current State: 54:[3, 61, 37, 75], Operations: []
Exploring Operation: 61-3=58, Resulting Numbers: [37, 75, 58]
Generated Node #2: [37, 75, 58] from Operation: 61-3=58
Current State: 54:[37, 75, 58], Operations: ['61-3=58']
Exploring Operation: 37+75=112, Resulting Numbers: [58, 112]
Generated Node #3: [58, 112] from Operation: 37+75=112
Current State: 54:[58, 112], Operations: ['61-3=58', '37+75=112']
Exploring Operation: 112-58=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
44,
18,
2,
11
] | 91 | [
"44+11=55",
"18*2=36",
"55+36=91"
] | Current State: 91:[44, 18, 2, 11], Operations: []
Exploring Operation: 44+11=55, Resulting Numbers: [18, 2, 55]
Generated Node #2: [18, 2, 55] from Operation: 44+11=55
Current State: 91:[18, 2, 55], Operations: ['44+11=55']
Exploring Operation: 18*2=36, Resulting Numbers: [55, 36]
Generated Node #3: [55, 36] from Operation: 18*2=36
Current State: 91:[55, 36], Operations: ['44+11=55', '18*2=36']
Exploring Operation: 55+36=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
83,
98,
37,
73
] | 71 | [
"83+98=181",
"37+73=110",
"181-110=71"
] | Current State: 71:[83, 98, 37, 73], Operations: []
Exploring Operation: 83+98=181, Resulting Numbers: [37, 73, 181]
Generated Node #2: [37, 73, 181] from Operation: 83+98=181
Current State: 71:[37, 73, 181], Operations: ['83+98=181']
Exploring Operation: 37+73=110, Resulting Numbers: [181, 110]
Generated Node #3: [181, 110] from Operation: 37+73=110
Current State: 71:[181, 110], Operations: ['83+98=181', '37+73=110']
Exploring Operation: 181-110=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
91,
73,
19,
48
] | 85 | [
"91-73=18",
"19+48=67",
"18+67=85"
] | Current State: 85:[91, 73, 19, 48], Operations: []
Exploring Operation: 91-73=18, Resulting Numbers: [19, 48, 18]
Generated Node #2: [19, 48, 18] from Operation: 91-73=18
Current State: 85:[19, 48, 18], Operations: ['91-73=18']
Exploring Operation: 19+48=67, Resulting Numbers: [18, 67]
Generated Node #3: [18, 67] from Operation: 19+48=67
Current State: 85:[18, 67], Operations: ['91-73=18', '19+48=67']
Exploring Operation: 18+67=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
52,
49,
66,
34
] | 35 | [
"52-49=3",
"66-34=32",
"3+32=35"
] | Current State: 35:[52, 49, 66, 34], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [66, 34, 3]
Generated Node #2: [66, 34, 3] from Operation: 52-49=3
Current State: 35:[66, 34, 3], Operations: ['52-49=3']
Exploring Operation: 66-34=32, Resulting Numbers: [3, 32]
Generated Node #3: [3, 32] from Operation: 66-34=32
Current State: 35:[3, 32], Operations: ['52-49=3', '66-34=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
6,
37,
71,
11
] | 17 | [
"6+37=43",
"71-11=60",
"60-43=17"
] | Current State: 17:[6, 37, 71, 11], Operations: []
Exploring Operation: 6+37=43, Resulting Numbers: [71, 11, 43]
Generated Node #2: [71, 11, 43] from Operation: 6+37=43
Current State: 17:[71, 11, 43], Operations: ['6+37=43']
Exploring Operation: 71-11=60, Resulting Numbers: [43, 60]
Generated Node #3: [43, 60] from Operation: 71-11=60
Current State: 17:[43, 60], Operations: ['6+37=43', '71-11=60']
Exploring Operation: 60-43=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
81,
52,
44,
86
] | 40 | [
"86-81=5",
"52-44=8",
"5*8=40"
] | Current State: 40:[81, 52, 44, 86], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [52, 44, 5]
Generated Node #2: [52, 44, 5] from Operation: 86-81=5
Current State: 40:[52, 44, 5], Operations: ['86-81=5']
Exploring Operation: 52-44=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 52-44=8
Current State: 40:[5, 8], Operations: ['86-81=5', '52-44=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
80,
40,
93,
54
] | 78 | [
"80/40=2",
"93-54=39",
"2*39=78"
] | Current State: 78:[80, 40, 93, 54], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [93, 54, 2]
Generated Node #2: [93, 54, 2] from Operation: 80/40=2
Current State: 78:[93, 54, 2], Operations: ['80/40=2']
Exploring Operation: 93-54=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 93-54=39
Current State: 78:[2, 39], Operations: ['80/40=2', '93-54=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
99,
96,
40,
45
] | 88 | [
"99-96=3",
"40+45=85",
"3+85=88"
] | Current State: 88:[99, 96, 40, 45], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [40, 45, 3]
Generated Node #2: [40, 45, 3] from Operation: 99-96=3
Current State: 88:[40, 45, 3], Operations: ['99-96=3']
Exploring Operation: 40+45=85, Resulting Numbers: [3, 85]
Generated Node #3: [3, 85] from Operation: 40+45=85
Current State: 88:[3, 85], Operations: ['99-96=3', '40+45=85']
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
56,
60,
43,
29
] | 15 | [
"43-29=14",
"56/14=4",
"60/4=15"
] | Current State: 15:[56, 60, 43, 29], Operations: []
Exploring Operation: 43-29=14, Resulting Numbers: [56, 60, 14]
Generated Node #2: [56, 60, 14] from Operation: 43-29=14
Current State: 15:[56, 60, 14], Operations: ['43-29=14']
Exploring Operation: 56/14=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 56/14=4
Current State: 15:[60, 4], Operations: ['43-29=14', '56/14=4']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
79,
55,
3,
36
] | 12 | [
"79-55=24",
"36/3=12",
"24-12=12"
] | Current State: 12:[79, 55, 3, 36], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [3, 36, 24]
Generated Node #2: [3, 36, 24] from Operation: 79-55=24
Current State: 12:[3, 36, 24], Operations: ['79-55=24']
Exploring Operation: 36/3=12, Resulting Numbers: [24, 12]
Generated Node #3: [24, 12] from Operation: 36/3=12
Current State: 12:[24, 12], Operations: ['79-55=24', '36/3=12']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
31,
33,
5,
1
] | 58 | [
"31+33=64",
"5+1=6",
"64-6=58"
] | Current State: 58:[31, 33, 5, 1], Operations: []
Exploring Operation: 31+33=64, Resulting Numbers: [5, 1, 64]
Generated Node #2: [5, 1, 64] from Operation: 31+33=64
Current State: 58:[5, 1, 64], Operations: ['31+33=64']
Exploring Operation: 5+1=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 5+1=6
Current State: 58:[64, 6], Operations: ['31+33=64', '5+1=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
63,
7,
50,
4
] | 37 | [
"63/7=9",
"50-4=46",
"46-9=37"
] | Current State: 37:[63, 7, 50, 4], Operations: []
Exploring Operation: 63/7=9, Resulting Numbers: [50, 4, 9]
Generated Node #2: [50, 4, 9] from Operation: 63/7=9
Current State: 37:[50, 4, 9], Operations: ['63/7=9']
Exploring Operation: 50-4=46, Resulting Numbers: [9, 46]
Generated Node #3: [9, 46] from Operation: 50-4=46
Current State: 37:[9, 46], Operations: ['63/7=9', '50-4=46']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
55,
81,
27,
10
] | 68 | [
"55+10=65",
"81/27=3",
"65+3=68"
] | Current State: 68:[55, 81, 27, 10], Operations: []
Exploring Operation: 55+10=65, Resulting Numbers: [81, 27, 65]
Generated Node #2: [81, 27, 65] from Operation: 55+10=65
Current State: 68:[81, 27, 65], Operations: ['55+10=65']
Exploring Operation: 81/27=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 81/27=3
Current State: 68:[65, 3], Operations: ['55+10=65', '81/27=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
34,
6,
90,
13
] | 49 | [
"34-6=28",
"90-13=77",
"77-28=49"
] | Current State: 49:[34, 6, 90, 13], Operations: []
Exploring Operation: 34-6=28, Resulting Numbers: [90, 13, 28]
Generated Node #2: [90, 13, 28] from Operation: 34-6=28
Current State: 49:[90, 13, 28], Operations: ['34-6=28']
Exploring Operation: 90-13=77, Resulting Numbers: [28, 77]
Generated Node #3: [28, 77] from Operation: 90-13=77
Current State: 49:[28, 77], Operations: ['34-6=28', '90-13=77']
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
48,
93,
78,
6
] | 69 | [
"48+93=141",
"78-6=72",
"141-72=69"
] | Current State: 69:[48, 93, 78, 6], Operations: []
Exploring Operation: 48+93=141, Resulting Numbers: [78, 6, 141]
Generated Node #2: [78, 6, 141] from Operation: 48+93=141
Current State: 69:[78, 6, 141], Operations: ['48+93=141']
Exploring Operation: 78-6=72, Resulting Numbers: [141, 72]
Generated Node #3: [141, 72] from Operation: 78-6=72
Current State: 69:[141, 72], Operations: ['48+93=141', '78-6=72']
Exploring Operation: 141-72=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
90,
33,
83,
59
] | 33 | [
"90-33=57",
"83-59=24",
"57-24=33"
] | Current State: 33:[90, 33, 83, 59], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [83, 59, 57]
Generated Node #2: [83, 59, 57] from Operation: 90-33=57
Current State: 33:[83, 59, 57], Operations: ['90-33=57']
Exploring Operation: 83-59=24, Resulting Numbers: [57, 24]
Generated Node #3: [57, 24] from Operation: 83-59=24
Current State: 33:[57, 24], Operations: ['90-33=57', '83-59=24']
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
92,
79,
68,
66
] | 26 | [
"92-79=13",
"68-66=2",
"13*2=26"
] | Current State: 26:[92, 79, 68, 66], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [68, 66, 13]
Generated Node #2: [68, 66, 13] from Operation: 92-79=13
Current State: 26:[68, 66, 13], Operations: ['92-79=13']
Exploring Operation: 68-66=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 68-66=2
Current State: 26:[13, 2], Operations: ['92-79=13', '68-66=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
39,
46,
56,
69
] | 82 | [
"39*46=1794",
"1794/69=26",
"56+26=82"
] | Current State: 82:[39, 46, 56, 69], Operations: []
Exploring Operation: 39*46=1794, Resulting Numbers: [56, 69, 1794]
Generated Node #2: [56, 69, 1794] from Operation: 39*46=1794
Current State: 82:[56, 69, 1794], Operations: ['39*46=1794']
Exploring Operation: 1794/69=26, Resulting Numbers: [56, 26]
Generated Node #3: [56, 26] from Operation: 1794/69=26
Current State: 82:[56, 26], Operations: ['39*46=1794', '1794/69=26']
Exploring Operation: 56+26=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
14,
12,
34,
27
] | 59 | [
"14-12=2",
"34+27=61",
"61-2=59"
] | Current State: 59:[14, 12, 34, 27], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [34, 27, 2]
Generated Node #2: [34, 27, 2] from Operation: 14-12=2
Current State: 59:[34, 27, 2], Operations: ['14-12=2']
Exploring Operation: 34+27=61, Resulting Numbers: [2, 61]
Generated Node #3: [2, 61] from Operation: 34+27=61
Current State: 59:[2, 61], Operations: ['14-12=2', '34+27=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
56,
60,
66,
58
] | 63 | [
"58-56=2",
"60+66=126",
"126/2=63"
] | Current State: 63:[56, 60, 66, 58], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [60, 66, 2]
Generated Node #2: [60, 66, 2] from Operation: 58-56=2
Current State: 63:[60, 66, 2], Operations: ['58-56=2']
Exploring Operation: 60+66=126, Resulting Numbers: [2, 126]
Generated Node #3: [2, 126] from Operation: 60+66=126
Current State: 63:[2, 126], Operations: ['58-56=2', '60+66=126']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
67,
63,
7,
12
] | 41 | [
"67-63=4",
"12*4=48",
"48-7=41"
] | Current State: 41:[67, 63, 7, 12], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [7, 12, 4]
Generated Node #2: [7, 12, 4] from Operation: 67-63=4
Current State: 41:[7, 12, 4], Operations: ['67-63=4']
Exploring Operation: 12*4=48, Resulting Numbers: [7, 48]
Generated Node #3: [7, 48] from Operation: 12*4=48
Current State: 41:[7, 48], Operations: ['67-63=4', '12*4=48']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
5,
52,
29,
49
] | 58 | [
"52-5=47",
"49-47=2",
"29*2=58"
] | Current State: 58:[5, 52, 29, 49], Operations: []
Exploring Operation: 52-5=47, Resulting Numbers: [29, 49, 47]
Generated Node #2: [29, 49, 47] from Operation: 52-5=47
Current State: 58:[29, 49, 47], Operations: ['52-5=47']
Exploring Operation: 49-47=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 49-47=2
Current State: 58:[29, 2], Operations: ['52-5=47', '49-47=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
98,
84,
3,
11
] | 59 | [
"98-11=87",
"84/3=28",
"87-28=59"
] | Current State: 59:[98, 84, 3, 11], Operations: []
Exploring Operation: 98-11=87, Resulting Numbers: [84, 3, 87]
Generated Node #2: [84, 3, 87] from Operation: 98-11=87
Current State: 59:[84, 3, 87], Operations: ['98-11=87']
Exploring Operation: 84/3=28, Resulting Numbers: [87, 28]
Generated Node #3: [87, 28] from Operation: 84/3=28
Current State: 59:[87, 28], Operations: ['98-11=87', '84/3=28']
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
88,
12,
22,
29
] | 25 | [
"88-12=76",
"22+29=51",
"76-51=25"
] | Current State: 25:[88, 12, 22, 29], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [22, 29, 76]
Generated Node #2: [22, 29, 76] from Operation: 88-12=76
Current State: 25:[22, 29, 76], Operations: ['88-12=76']
Exploring Operation: 22+29=51, Resulting Numbers: [76, 51]
Generated Node #3: [76, 51] from Operation: 22+29=51
Current State: 25:[76, 51], Operations: ['88-12=76', '22+29=51']
Exploring Operation: 76-51=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
80,
68,
76,
27
] | 37 | [
"80-68=12",
"76-27=49",
"49-12=37"
] | Current State: 37:[80, 68, 76, 27], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [76, 27, 12]
Generated Node #2: [76, 27, 12] from Operation: 80-68=12
Current State: 37:[76, 27, 12], Operations: ['80-68=12']
Exploring Operation: 76-27=49, Resulting Numbers: [12, 49]
Generated Node #3: [12, 49] from Operation: 76-27=49
Current State: 37:[12, 49], Operations: ['80-68=12', '76-27=49']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
43,
93,
30,
80
] | 60 | [
"93-43=50",
"30+80=110",
"110-50=60"
] | Current State: 60:[43, 93, 30, 80], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [30, 80, 50]
Generated Node #2: [30, 80, 50] from Operation: 93-43=50
Current State: 60:[30, 80, 50], Operations: ['93-43=50']
Exploring Operation: 30+80=110, Resulting Numbers: [50, 110]
Generated Node #3: [50, 110] from Operation: 30+80=110
Current State: 60:[50, 110], Operations: ['93-43=50', '30+80=110']
Exploring Operation: 110-50=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
10,
90,
80,
15
] | 86 | [
"90/10=9",
"80+15=95",
"95-9=86"
] | Current State: 86:[10, 90, 80, 15], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [80, 15, 9]
Generated Node #2: [80, 15, 9] from Operation: 90/10=9
Current State: 86:[80, 15, 9], Operations: ['90/10=9']
Exploring Operation: 80+15=95, Resulting Numbers: [9, 95]
Generated Node #3: [9, 95] from Operation: 80+15=95
Current State: 86:[9, 95], Operations: ['90/10=9', '80+15=95']
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
48,
22,
30,
66
] | 81 | [
"48+30=78",
"66/22=3",
"78+3=81"
] | Current State: 81:[48, 22, 30, 66], Operations: []
Exploring Operation: 48+30=78, Resulting Numbers: [22, 66, 78]
Generated Node #2: [22, 66, 78] from Operation: 48+30=78
Current State: 81:[22, 66, 78], Operations: ['48+30=78']
Exploring Operation: 66/22=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 66/22=3
Current State: 81:[78, 3], Operations: ['48+30=78', '66/22=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
68,
16,
14,
83
] | 89 | [
"68+16=84",
"84/14=6",
"83+6=89"
] | Current State: 89:[68, 16, 14, 83], Operations: []
Exploring Operation: 68+16=84, Resulting Numbers: [14, 83, 84]
Generated Node #2: [14, 83, 84] from Operation: 68+16=84
Current State: 89:[14, 83, 84], Operations: ['68+16=84']
Exploring Operation: 84/14=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 84/14=6
Current State: 89:[83, 6], Operations: ['68+16=84', '84/14=6']
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
79,
4,
53,
10
] | 64 | [
"79-53=26",
"26-10=16",
"4*16=64"
] | Current State: 64:[79, 4, 53, 10], Operations: []
Exploring Operation: 79-53=26, Resulting Numbers: [4, 10, 26]
Generated Node #2: [4, 10, 26] from Operation: 79-53=26
Current State: 64:[4, 10, 26], Operations: ['79-53=26']
Exploring Operation: 26-10=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 26-10=16
Current State: 64:[4, 16], Operations: ['79-53=26', '26-10=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
41,
47,
55,
5
] | 28 | [
"41+47=88",
"55+5=60",
"88-60=28"
] | Current State: 28:[41, 47, 55, 5], Operations: []
Exploring Operation: 41+47=88, Resulting Numbers: [55, 5, 88]
Generated Node #2: [55, 5, 88] from Operation: 41+47=88
Current State: 28:[55, 5, 88], Operations: ['41+47=88']
Exploring Operation: 55+5=60, Resulting Numbers: [88, 60]
Generated Node #3: [88, 60] from Operation: 55+5=60
Current State: 28:[88, 60], Operations: ['41+47=88', '55+5=60']
Exploring Operation: 88-60=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
47,
5,
2,
7
] | 38 | [
"47+5=52",
"2*7=14",
"52-14=38"
] | Current State: 38:[47, 5, 2, 7], Operations: []
Exploring Operation: 47+5=52, Resulting Numbers: [2, 7, 52]
Generated Node #2: [2, 7, 52] from Operation: 47+5=52
Current State: 38:[2, 7, 52], Operations: ['47+5=52']
Exploring Operation: 2*7=14, Resulting Numbers: [52, 14]
Generated Node #3: [52, 14] from Operation: 2*7=14
Current State: 38:[52, 14], Operations: ['47+5=52', '2*7=14']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
81,
32,
31,
51
] | 33 | [
"81-32=49",
"31+51=82",
"82-49=33"
] | Current State: 33:[81, 32, 31, 51], Operations: []
Exploring Operation: 81-32=49, Resulting Numbers: [31, 51, 49]
Generated Node #2: [31, 51, 49] from Operation: 81-32=49
Current State: 33:[31, 51, 49], Operations: ['81-32=49']
Exploring Operation: 31+51=82, Resulting Numbers: [49, 82]
Generated Node #3: [49, 82] from Operation: 31+51=82
Current State: 33:[49, 82], Operations: ['81-32=49', '31+51=82']
Exploring Operation: 82-49=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
29,
60,
43,
45
] | 59 | [
"45-43=2",
"60/2=30",
"29+30=59"
] | Current State: 59:[29, 60, 43, 45], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [29, 60, 2]
Generated Node #2: [29, 60, 2] from Operation: 45-43=2
Current State: 59:[29, 60, 2], Operations: ['45-43=2']
Exploring Operation: 60/2=30, Resulting Numbers: [29, 30]
Generated Node #3: [29, 30] from Operation: 60/2=30
Current State: 59:[29, 30], Operations: ['45-43=2', '60/2=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
62,
16,
73,
84
] | 57 | [
"62-16=46",
"84-73=11",
"46+11=57"
] | Current State: 57:[62, 16, 73, 84], Operations: []
Exploring Operation: 62-16=46, Resulting Numbers: [73, 84, 46]
Generated Node #2: [73, 84, 46] from Operation: 62-16=46
Current State: 57:[73, 84, 46], Operations: ['62-16=46']
Exploring Operation: 84-73=11, Resulting Numbers: [46, 11]
Generated Node #3: [46, 11] from Operation: 84-73=11
Current State: 57:[46, 11], Operations: ['62-16=46', '84-73=11']
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
6,
12,
67,
48
] | 47 | [
"48/6=8",
"67-12=55",
"55-8=47"
] | Current State: 47:[6, 12, 67, 48], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [12, 67, 8]
Generated Node #2: [12, 67, 8] from Operation: 48/6=8
Current State: 47:[12, 67, 8], Operations: ['48/6=8']
Exploring Operation: 67-12=55, Resulting Numbers: [8, 55]
Generated Node #3: [8, 55] from Operation: 67-12=55
Current State: 47:[8, 55], Operations: ['48/6=8', '67-12=55']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
62,
30,
18,
84
] | 40 | [
"62*18=1116",
"84+1116=1200",
"1200/30=40"
] | Current State: 40:[62, 30, 18, 84], Operations: []
Exploring Operation: 62*18=1116, Resulting Numbers: [30, 84, 1116]
Generated Node #2: [30, 84, 1116] from Operation: 62*18=1116
Current State: 40:[30, 84, 1116], Operations: ['62*18=1116']
Exploring Operation: 84+1116=1200, Resulting Numbers: [30, 1200]
Generated Node #3: [30, 1200] from Operation: 84+1116=1200
Current State: 40:[30, 1200], Operations: ['62*18=1116', '84+1116=1200']
Exploring Operation: 1200/30=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
48,
2,
33,
6
] | 82 | [
"48/6=8",
"33+8=41",
"2*41=82"
] | Current State: 82:[48, 2, 33, 6], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [2, 33, 8]
Generated Node #2: [2, 33, 8] from Operation: 48/6=8
Current State: 82:[2, 33, 8], Operations: ['48/6=8']
Exploring Operation: 33+8=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 33+8=41
Current State: 82:[2, 41], Operations: ['48/6=8', '33+8=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
99,
26,
51,
30
] | 94 | [
"99-26=73",
"51-30=21",
"73+21=94"
] | Current State: 94:[99, 26, 51, 30], Operations: []
Exploring Operation: 99-26=73, Resulting Numbers: [51, 30, 73]
Generated Node #2: [51, 30, 73] from Operation: 99-26=73
Current State: 94:[51, 30, 73], Operations: ['99-26=73']
Exploring Operation: 51-30=21, Resulting Numbers: [73, 21]
Generated Node #3: [73, 21] from Operation: 51-30=21
Current State: 94:[73, 21], Operations: ['99-26=73', '51-30=21']
Exploring Operation: 73+21=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
39,
33,
80,
13
] | 87 | [
"39-33=6",
"80+13=93",
"93-6=87"
] | Current State: 87:[39, 33, 80, 13], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [80, 13, 6]
Generated Node #2: [80, 13, 6] from Operation: 39-33=6
Current State: 87:[80, 13, 6], Operations: ['39-33=6']
Exploring Operation: 80+13=93, Resulting Numbers: [6, 93]
Generated Node #3: [6, 93] from Operation: 80+13=93
Current State: 87:[6, 93], Operations: ['39-33=6', '80+13=93']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
87,
73,
17,
32
] | 80 | [
"87+32=119",
"119/17=7",
"73+7=80"
] | Current State: 80:[87, 73, 17, 32], Operations: []
Exploring Operation: 87+32=119, Resulting Numbers: [73, 17, 119]
Generated Node #2: [73, 17, 119] from Operation: 87+32=119
Current State: 80:[73, 17, 119], Operations: ['87+32=119']
Exploring Operation: 119/17=7, Resulting Numbers: [73, 7]
Generated Node #3: [73, 7] from Operation: 119/17=7
Current State: 80:[73, 7], Operations: ['87+32=119', '119/17=7']
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
26,
25,
86,
3
] | 33 | [
"26*3=78",
"25+86=111",
"111-78=33"
] | Current State: 33:[26, 25, 86, 3], Operations: []
Exploring Operation: 26*3=78, Resulting Numbers: [25, 86, 78]
Generated Node #2: [25, 86, 78] from Operation: 26*3=78
Current State: 33:[25, 86, 78], Operations: ['26*3=78']
Exploring Operation: 25+86=111, Resulting Numbers: [78, 111]
Generated Node #3: [78, 111] from Operation: 25+86=111
Current State: 33:[78, 111], Operations: ['26*3=78', '25+86=111']
Exploring Operation: 111-78=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
56,
34,
19,
88
] | 47 | [
"56-34=22",
"88-19=69",
"69-22=47"
] | Current State: 47:[56, 34, 19, 88], Operations: []
Exploring Operation: 56-34=22, Resulting Numbers: [19, 88, 22]
Generated Node #2: [19, 88, 22] from Operation: 56-34=22
Current State: 47:[19, 88, 22], Operations: ['56-34=22']
Exploring Operation: 88-19=69, Resulting Numbers: [22, 69]
Generated Node #3: [22, 69] from Operation: 88-19=69
Current State: 47:[22, 69], Operations: ['56-34=22', '88-19=69']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
48,
52,
28,
64
] | 48 | [
"52-48=4",
"28*4=112",
"112-64=48"
] | Current State: 48:[48, 52, 28, 64], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [28, 64, 4]
Generated Node #2: [28, 64, 4] from Operation: 52-48=4
Current State: 48:[28, 64, 4], Operations: ['52-48=4']
Exploring Operation: 28*4=112, Resulting Numbers: [64, 112]
Generated Node #3: [64, 112] from Operation: 28*4=112
Current State: 48:[64, 112], Operations: ['52-48=4', '28*4=112']
Exploring Operation: 112-64=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
40,
12,
74,
49
] | 95 | [
"40-12=28",
"74+49=123",
"123-28=95"
] | Current State: 95:[40, 12, 74, 49], Operations: []
Exploring Operation: 40-12=28, Resulting Numbers: [74, 49, 28]
Generated Node #2: [74, 49, 28] from Operation: 40-12=28
Current State: 95:[74, 49, 28], Operations: ['40-12=28']
Exploring Operation: 74+49=123, Resulting Numbers: [28, 123]
Generated Node #3: [28, 123] from Operation: 74+49=123
Current State: 95:[28, 123], Operations: ['40-12=28', '74+49=123']
Exploring Operation: 123-28=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
28,
17,
82,
3
] | 49 | [
"28-17=11",
"3*11=33",
"82-33=49"
] | Current State: 49:[28, 17, 82, 3], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [82, 3, 11]
Generated Node #2: [82, 3, 11] from Operation: 28-17=11
Current State: 49:[82, 3, 11], Operations: ['28-17=11']
Exploring Operation: 3*11=33, Resulting Numbers: [82, 33]
Generated Node #3: [82, 33] from Operation: 3*11=33
Current State: 49:[82, 33], Operations: ['28-17=11', '3*11=33']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
8,
94,
64,
54
] | 96 | [
"94-8=86",
"64-54=10",
"86+10=96"
] | Current State: 96:[8, 94, 64, 54], Operations: []
Exploring Operation: 94-8=86, Resulting Numbers: [64, 54, 86]
Generated Node #2: [64, 54, 86] from Operation: 94-8=86
Current State: 96:[64, 54, 86], Operations: ['94-8=86']
Exploring Operation: 64-54=10, Resulting Numbers: [86, 10]
Generated Node #3: [86, 10] from Operation: 64-54=10
Current State: 96:[86, 10], Operations: ['94-8=86', '64-54=10']
Exploring Operation: 86+10=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
4,
8,
44,
48
] | 26 | [
"8/4=2",
"44/2=22",
"48-22=26"
] | Current State: 26:[4, 8, 44, 48], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [44, 48, 2]
Generated Node #2: [44, 48, 2] from Operation: 8/4=2
Current State: 26:[44, 48, 2], Operations: ['8/4=2']
Exploring Operation: 44/2=22, Resulting Numbers: [48, 22]
Generated Node #3: [48, 22] from Operation: 44/2=22
Current State: 26:[48, 22], Operations: ['8/4=2', '44/2=22']
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
28,
67,
65,
43
] | 58 | [
"67-65=2",
"43*2=86",
"86-28=58"
] | Current State: 58:[28, 67, 65, 43], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [28, 43, 2]
Generated Node #2: [28, 43, 2] from Operation: 67-65=2
Current State: 58:[28, 43, 2], Operations: ['67-65=2']
Exploring Operation: 43*2=86, Resulting Numbers: [28, 86]
Generated Node #3: [28, 86] from Operation: 43*2=86
Current State: 58:[28, 86], Operations: ['67-65=2', '43*2=86']
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
64,
45,
22,
83
] | 42 | [
"64-45=19",
"83-22=61",
"61-19=42"
] | Current State: 42:[64, 45, 22, 83], Operations: []
Exploring Operation: 64-45=19, Resulting Numbers: [22, 83, 19]
Generated Node #2: [22, 83, 19] from Operation: 64-45=19
Current State: 42:[22, 83, 19], Operations: ['64-45=19']
Exploring Operation: 83-22=61, Resulting Numbers: [19, 61]
Generated Node #3: [19, 61] from Operation: 83-22=61
Current State: 42:[19, 61], Operations: ['64-45=19', '83-22=61']
Exploring Operation: 61-19=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
21,
25,
8,
51
] | 63 | [
"25-21=4",
"8+51=59",
"4+59=63"
] | Current State: 63:[21, 25, 8, 51], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [8, 51, 4]
Generated Node #2: [8, 51, 4] from Operation: 25-21=4
Current State: 63:[8, 51, 4], Operations: ['25-21=4']
Exploring Operation: 8+51=59, Resulting Numbers: [4, 59]
Generated Node #3: [4, 59] from Operation: 8+51=59
Current State: 63:[4, 59], Operations: ['25-21=4', '8+51=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
47,
9,
93,
20
] | 75 | [
"47-9=38",
"93+20=113",
"113-38=75"
] | Current State: 75:[47, 9, 93, 20], Operations: []
Exploring Operation: 47-9=38, Resulting Numbers: [93, 20, 38]
Generated Node #2: [93, 20, 38] from Operation: 47-9=38
Current State: 75:[93, 20, 38], Operations: ['47-9=38']
Exploring Operation: 93+20=113, Resulting Numbers: [38, 113]
Generated Node #3: [38, 113] from Operation: 93+20=113
Current State: 75:[38, 113], Operations: ['47-9=38', '93+20=113']
Exploring Operation: 113-38=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
17,
4,
33,
32
] | 28 | [
"33-17=16",
"16/4=4",
"32-4=28"
] | Current State: 28:[17, 4, 33, 32], Operations: []
Exploring Operation: 33-17=16, Resulting Numbers: [4, 32, 16]
Generated Node #2: [4, 32, 16] from Operation: 33-17=16
Current State: 28:[4, 32, 16], Operations: ['33-17=16']
Exploring Operation: 16/4=4, Resulting Numbers: [32, 4]
Generated Node #3: [32, 4] from Operation: 16/4=4
Current State: 28:[32, 4], Operations: ['33-17=16', '16/4=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
11,
99,
75,
88
] | 16 | [
"88/11=8",
"99-75=24",
"24-8=16"
] | Current State: 16:[11, 99, 75, 88], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [99, 75, 8]
Generated Node #2: [99, 75, 8] from Operation: 88/11=8
Current State: 16:[99, 75, 8], Operations: ['88/11=8']
Exploring Operation: 99-75=24, Resulting Numbers: [8, 24]
Generated Node #3: [8, 24] from Operation: 99-75=24
Current State: 16:[8, 24], Operations: ['88/11=8', '99-75=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
78,
79,
29,
78
] | 79 | [
"78-78=0",
"29*0=0",
"79+0=79"
] | Current State: 79:[78, 79, 29, 78], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [79, 29, 0]
Generated Node #2: [79, 29, 0] from Operation: 78-78=0
Current State: 79:[79, 29, 0], Operations: ['78-78=0']
Exploring Operation: 29*0=0, Resulting Numbers: [79, 0]
Generated Node #3: [79, 0] from Operation: 29*0=0
Current State: 79:[79, 0], Operations: ['78-78=0', '29*0=0']
Exploring Operation: 79+0=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
2,
13,
12,
18
] | 54 | [
"2+13=15",
"15-12=3",
"18*3=54"
] | Current State: 54:[2, 13, 12, 18], Operations: []
Exploring Operation: 2+13=15, Resulting Numbers: [12, 18, 15]
Generated Node #2: [12, 18, 15] from Operation: 2+13=15
Current State: 54:[12, 18, 15], Operations: ['2+13=15']
Exploring Operation: 15-12=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 15-12=3
Current State: 54:[18, 3], Operations: ['2+13=15', '15-12=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
14,
29,
88,
97
] | 79 | [
"29+97=126",
"126/14=9",
"88-9=79"
] | Current State: 79:[14, 29, 88, 97], Operations: []
Exploring Operation: 29+97=126, Resulting Numbers: [14, 88, 126]
Generated Node #2: [14, 88, 126] from Operation: 29+97=126
Current State: 79:[14, 88, 126], Operations: ['29+97=126']
Exploring Operation: 126/14=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 126/14=9
Current State: 79:[88, 9], Operations: ['29+97=126', '126/14=9']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
66,
90,
70,
55
] | 11 | [
"70-55=15",
"66*15=990",
"990/90=11"
] | Current State: 11:[66, 90, 70, 55], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [66, 90, 15]
Generated Node #2: [66, 90, 15] from Operation: 70-55=15
Current State: 11:[66, 90, 15], Operations: ['70-55=15']
Exploring Operation: 66*15=990, Resulting Numbers: [90, 990]
Generated Node #3: [90, 990] from Operation: 66*15=990
Current State: 11:[90, 990], Operations: ['70-55=15', '66*15=990']
Exploring Operation: 990/90=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
97,
45,
4,
11
] | 97 | [
"4*11=44",
"45-44=1",
"97*1=97"
] | Current State: 97:[97, 45, 4, 11], Operations: []
Exploring Operation: 4*11=44, Resulting Numbers: [97, 45, 44]
Generated Node #2: [97, 45, 44] from Operation: 4*11=44
Current State: 97:[97, 45, 44], Operations: ['4*11=44']
Exploring Operation: 45-44=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 45-44=1
Current State: 97:[97, 1], Operations: ['4*11=44', '45-44=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
5,
19,
19,
21
] | 25 | [
"5+21=26",
"19/19=1",
"26-1=25"
] | Current State: 25:[5, 19, 19, 21], Operations: []
Exploring Operation: 5+21=26, Resulting Numbers: [19, 19, 26]
Generated Node #2: [19, 19, 26] from Operation: 5+21=26
Current State: 25:[19, 19, 26], Operations: ['5+21=26']
Exploring Operation: 19/19=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 19/19=1
Current State: 25:[26, 1], Operations: ['5+21=26', '19/19=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
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