nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
29,
61,
21,
85
] | 74 | [
"61-29=32",
"21+85=106",
"106-32=74"
] | Current State: 74:[29, 61, 21, 85], Operations: []
Exploring Operation: 61-29=32, Resulting Numbers: [21, 85, 32]
Generated Node #2: [21, 85, 32] from Operation: 61-29=32
Current State: 74:[21, 85, 32], Operations: ['61-29=32']
Exploring Operation: 21+85=106, Resulting Numbers: [32, 106]
Generated Node #3: [32, 106] from Operation: 21+85=106
Current State: 74:[32, 106], Operations: ['61-29=32', '21+85=106']
Exploring Operation: 106-32=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
81,
48,
1,
18
] | 50 | [
"81-48=33",
"18-1=17",
"33+17=50"
] | Current State: 50:[81, 48, 1, 18], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [1, 18, 33]
Generated Node #2: [1, 18, 33] from Operation: 81-48=33
Current State: 50:[1, 18, 33], Operations: ['81-48=33']
Exploring Operation: 18-1=17, Resulting Numbers: [33, 17]
Generated Node #3: [33, 17] from Operation: 18-1=17
Current State: 50:[33, 17], Operations: ['81-48=33', '18-1=17']
Exploring Operation: 33+17=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
2,
30,
53,
40
] | 65 | [
"30-2=28",
"53+40=93",
"93-28=65"
] | Current State: 65:[2, 30, 53, 40], Operations: []
Exploring Operation: 30-2=28, Resulting Numbers: [53, 40, 28]
Generated Node #2: [53, 40, 28] from Operation: 30-2=28
Current State: 65:[53, 40, 28], Operations: ['30-2=28']
Exploring Operation: 53+40=93, Resulting Numbers: [28, 93]
Generated Node #3: [28, 93] from Operation: 53+40=93
Current State: 65:[28, 93], Operations: ['30-2=28', '53+40=93']
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
63,
54,
28,
22
] | 67 | [
"63+54=117",
"28+22=50",
"117-50=67"
] | Current State: 67:[63, 54, 28, 22], Operations: []
Exploring Operation: 63+54=117, Resulting Numbers: [28, 22, 117]
Generated Node #2: [28, 22, 117] from Operation: 63+54=117
Current State: 67:[28, 22, 117], Operations: ['63+54=117']
Exploring Operation: 28+22=50, Resulting Numbers: [117, 50]
Generated Node #3: [117, 50] from Operation: 28+22=50
Current State: 67:[117, 50], Operations: ['63+54=117', '28+22=50']
Exploring Operation: 117-50=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
65,
63,
25,
15
] | 69 | [
"65+25=90",
"90/15=6",
"63+6=69"
] | Current State: 69:[65, 63, 25, 15], Operations: []
Exploring Operation: 65+25=90, Resulting Numbers: [63, 15, 90]
Generated Node #2: [63, 15, 90] from Operation: 65+25=90
Current State: 69:[63, 15, 90], Operations: ['65+25=90']
Exploring Operation: 90/15=6, Resulting Numbers: [63, 6]
Generated Node #3: [63, 6] from Operation: 90/15=6
Current State: 69:[63, 6], Operations: ['65+25=90', '90/15=6']
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
91,
86,
25,
64
] | 61 | [
"91-86=5",
"25*5=125",
"125-64=61"
] | Current State: 61:[91, 86, 25, 64], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [25, 64, 5]
Generated Node #2: [25, 64, 5] from Operation: 91-86=5
Current State: 61:[25, 64, 5], Operations: ['91-86=5']
Exploring Operation: 25*5=125, Resulting Numbers: [64, 125]
Generated Node #3: [64, 125] from Operation: 25*5=125
Current State: 61:[64, 125], Operations: ['91-86=5', '25*5=125']
Exploring Operation: 125-64=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
62,
51,
92,
49
] | 70 | [
"62+51=113",
"92-49=43",
"113-43=70"
] | Current State: 70:[62, 51, 92, 49], Operations: []
Exploring Operation: 62+51=113, Resulting Numbers: [92, 49, 113]
Generated Node #2: [92, 49, 113] from Operation: 62+51=113
Current State: 70:[92, 49, 113], Operations: ['62+51=113']
Exploring Operation: 92-49=43, Resulting Numbers: [113, 43]
Generated Node #3: [113, 43] from Operation: 92-49=43
Current State: 70:[113, 43], Operations: ['62+51=113', '92-49=43']
Exploring Operation: 113-43=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
90,
94,
43,
24
] | 26 | [
"90-43=47",
"94/47=2",
"24+2=26"
] | Current State: 26:[90, 94, 43, 24], Operations: []
Exploring Operation: 90-43=47, Resulting Numbers: [94, 24, 47]
Generated Node #2: [94, 24, 47] from Operation: 90-43=47
Current State: 26:[94, 24, 47], Operations: ['90-43=47']
Exploring Operation: 94/47=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 94/47=2
Current State: 26:[24, 2], Operations: ['90-43=47', '94/47=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
95,
28,
69,
4
] | 19 | [
"95-69=26",
"28/4=7",
"26-7=19"
] | Current State: 19:[95, 28, 69, 4], Operations: []
Exploring Operation: 95-69=26, Resulting Numbers: [28, 4, 26]
Generated Node #2: [28, 4, 26] from Operation: 95-69=26
Current State: 19:[28, 4, 26], Operations: ['95-69=26']
Exploring Operation: 28/4=7, Resulting Numbers: [26, 7]
Generated Node #3: [26, 7] from Operation: 28/4=7
Current State: 19:[26, 7], Operations: ['95-69=26', '28/4=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
32,
19,
17,
39
] | 100 | [
"39-32=7",
"17*7=119",
"119-19=100"
] | Current State: 100:[32, 19, 17, 39], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [19, 17, 7]
Generated Node #2: [19, 17, 7] from Operation: 39-32=7
Current State: 100:[19, 17, 7], Operations: ['39-32=7']
Exploring Operation: 17*7=119, Resulting Numbers: [19, 119]
Generated Node #3: [19, 119] from Operation: 17*7=119
Current State: 100:[19, 119], Operations: ['39-32=7', '17*7=119']
Exploring Operation: 119-19=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
72,
28,
19,
13
] | 12 | [
"72-28=44",
"19+13=32",
"44-32=12"
] | Current State: 12:[72, 28, 19, 13], Operations: []
Exploring Operation: 72-28=44, Resulting Numbers: [19, 13, 44]
Generated Node #2: [19, 13, 44] from Operation: 72-28=44
Current State: 12:[19, 13, 44], Operations: ['72-28=44']
Exploring Operation: 19+13=32, Resulting Numbers: [44, 32]
Generated Node #3: [44, 32] from Operation: 19+13=32
Current State: 12:[44, 32], Operations: ['72-28=44', '19+13=32']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
42,
64,
76,
2
] | 32 | [
"42+64=106",
"76-2=74",
"106-74=32"
] | Current State: 32:[42, 64, 76, 2], Operations: []
Exploring Operation: 42+64=106, Resulting Numbers: [76, 2, 106]
Generated Node #2: [76, 2, 106] from Operation: 42+64=106
Current State: 32:[76, 2, 106], Operations: ['42+64=106']
Exploring Operation: 76-2=74, Resulting Numbers: [106, 74]
Generated Node #3: [106, 74] from Operation: 76-2=74
Current State: 32:[106, 74], Operations: ['42+64=106', '76-2=74']
Exploring Operation: 106-74=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
30,
1,
1,
80
] | 80 | [
"1-1=0",
"30*0=0",
"80+0=80"
] | Current State: 80:[30, 1, 1, 80], Operations: []
Exploring Operation: 1-1=0, Resulting Numbers: [30, 80, 0]
Generated Node #2: [30, 80, 0] from Operation: 1-1=0
Current State: 80:[30, 80, 0], Operations: ['1-1=0']
Exploring Operation: 30*0=0, Resulting Numbers: [80, 0]
Generated Node #3: [80, 0] from Operation: 30*0=0
Current State: 80:[80, 0], Operations: ['1-1=0', '30*0=0']
Exploring Operation: 80+0=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
19,
53,
57,
52
] | 77 | [
"19+53=72",
"57-52=5",
"72+5=77"
] | Current State: 77:[19, 53, 57, 52], Operations: []
Exploring Operation: 19+53=72, Resulting Numbers: [57, 52, 72]
Generated Node #2: [57, 52, 72] from Operation: 19+53=72
Current State: 77:[57, 52, 72], Operations: ['19+53=72']
Exploring Operation: 57-52=5, Resulting Numbers: [72, 5]
Generated Node #3: [72, 5] from Operation: 57-52=5
Current State: 77:[72, 5], Operations: ['19+53=72', '57-52=5']
Exploring Operation: 72+5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
68,
17,
2,
6
] | 11 | [
"68/2=34",
"17+6=23",
"34-23=11"
] | Current State: 11:[68, 17, 2, 6], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [17, 6, 34]
Generated Node #2: [17, 6, 34] from Operation: 68/2=34
Current State: 11:[17, 6, 34], Operations: ['68/2=34']
Exploring Operation: 17+6=23, Resulting Numbers: [34, 23]
Generated Node #3: [34, 23] from Operation: 17+6=23
Current State: 11:[34, 23], Operations: ['68/2=34', '17+6=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
69,
91,
24,
29
] | 31 | [
"91-69=22",
"24+29=53",
"53-22=31"
] | Current State: 31:[69, 91, 24, 29], Operations: []
Exploring Operation: 91-69=22, Resulting Numbers: [24, 29, 22]
Generated Node #2: [24, 29, 22] from Operation: 91-69=22
Current State: 31:[24, 29, 22], Operations: ['91-69=22']
Exploring Operation: 24+29=53, Resulting Numbers: [22, 53]
Generated Node #3: [22, 53] from Operation: 24+29=53
Current State: 31:[22, 53], Operations: ['91-69=22', '24+29=53']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
1,
61,
79,
54
] | 36 | [
"1*61=61",
"79-54=25",
"61-25=36"
] | Current State: 36:[1, 61, 79, 54], Operations: []
Exploring Operation: 1*61=61, Resulting Numbers: [79, 54, 61]
Generated Node #2: [79, 54, 61] from Operation: 1*61=61
Current State: 36:[79, 54, 61], Operations: ['1*61=61']
Exploring Operation: 79-54=25, Resulting Numbers: [61, 25]
Generated Node #3: [61, 25] from Operation: 79-54=25
Current State: 36:[61, 25], Operations: ['1*61=61', '79-54=25']
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
14,
29,
72,
12
] | 17 | [
"14+29=43",
"72-12=60",
"60-43=17"
] | Current State: 17:[14, 29, 72, 12], Operations: []
Exploring Operation: 14+29=43, Resulting Numbers: [72, 12, 43]
Generated Node #2: [72, 12, 43] from Operation: 14+29=43
Current State: 17:[72, 12, 43], Operations: ['14+29=43']
Exploring Operation: 72-12=60, Resulting Numbers: [43, 60]
Generated Node #3: [43, 60] from Operation: 72-12=60
Current State: 17:[43, 60], Operations: ['14+29=43', '72-12=60']
Exploring Operation: 60-43=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
83,
40,
90,
67
] | 20 | [
"83-40=43",
"90-67=23",
"43-23=20"
] | Current State: 20:[83, 40, 90, 67], Operations: []
Exploring Operation: 83-40=43, Resulting Numbers: [90, 67, 43]
Generated Node #2: [90, 67, 43] from Operation: 83-40=43
Current State: 20:[90, 67, 43], Operations: ['83-40=43']
Exploring Operation: 90-67=23, Resulting Numbers: [43, 23]
Generated Node #3: [43, 23] from Operation: 90-67=23
Current State: 20:[43, 23], Operations: ['83-40=43', '90-67=23']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
74,
99,
22,
78
] | 73 | [
"74+99=173",
"22+78=100",
"173-100=73"
] | Current State: 73:[74, 99, 22, 78], Operations: []
Exploring Operation: 74+99=173, Resulting Numbers: [22, 78, 173]
Generated Node #2: [22, 78, 173] from Operation: 74+99=173
Current State: 73:[22, 78, 173], Operations: ['74+99=173']
Exploring Operation: 22+78=100, Resulting Numbers: [173, 100]
Generated Node #3: [173, 100] from Operation: 22+78=100
Current State: 73:[173, 100], Operations: ['74+99=173', '22+78=100']
Exploring Operation: 173-100=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
48,
2,
17,
8
] | 72 | [
"17-2=15",
"8*15=120",
"120-48=72"
] | Current State: 72:[48, 2, 17, 8], Operations: []
Exploring Operation: 17-2=15, Resulting Numbers: [48, 8, 15]
Generated Node #2: [48, 8, 15] from Operation: 17-2=15
Current State: 72:[48, 8, 15], Operations: ['17-2=15']
Exploring Operation: 8*15=120, Resulting Numbers: [48, 120]
Generated Node #3: [48, 120] from Operation: 8*15=120
Current State: 72:[48, 120], Operations: ['17-2=15', '8*15=120']
Exploring Operation: 120-48=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
46,
52,
40,
55
] | 21 | [
"52-46=6",
"55-40=15",
"6+15=21"
] | Current State: 21:[46, 52, 40, 55], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [40, 55, 6]
Generated Node #2: [40, 55, 6] from Operation: 52-46=6
Current State: 21:[40, 55, 6], Operations: ['52-46=6']
Exploring Operation: 55-40=15, Resulting Numbers: [6, 15]
Generated Node #3: [6, 15] from Operation: 55-40=15
Current State: 21:[6, 15], Operations: ['52-46=6', '55-40=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
53,
28,
60,
11
] | 10 | [
"53+28=81",
"60+11=71",
"81-71=10"
] | Current State: 10:[53, 28, 60, 11], Operations: []
Exploring Operation: 53+28=81, Resulting Numbers: [60, 11, 81]
Generated Node #2: [60, 11, 81] from Operation: 53+28=81
Current State: 10:[60, 11, 81], Operations: ['53+28=81']
Exploring Operation: 60+11=71, Resulting Numbers: [81, 71]
Generated Node #3: [81, 71] from Operation: 60+11=71
Current State: 10:[81, 71], Operations: ['53+28=81', '60+11=71']
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
93,
83,
41,
88
] | 43 | [
"93+83=176",
"176/88=2",
"41+2=43"
] | Current State: 43:[93, 83, 41, 88], Operations: []
Exploring Operation: 93+83=176, Resulting Numbers: [41, 88, 176]
Generated Node #2: [41, 88, 176] from Operation: 93+83=176
Current State: 43:[41, 88, 176], Operations: ['93+83=176']
Exploring Operation: 176/88=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 176/88=2
Current State: 43:[41, 2], Operations: ['93+83=176', '176/88=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
52,
22,
46,
54
] | 57 | [
"54-52=2",
"22/2=11",
"46+11=57"
] | Current State: 57:[52, 22, 46, 54], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [22, 46, 2]
Generated Node #2: [22, 46, 2] from Operation: 54-52=2
Current State: 57:[22, 46, 2], Operations: ['54-52=2']
Exploring Operation: 22/2=11, Resulting Numbers: [46, 11]
Generated Node #3: [46, 11] from Operation: 22/2=11
Current State: 57:[46, 11], Operations: ['54-52=2', '22/2=11']
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
54,
74,
63,
57
] | 65 | [
"63-57=6",
"54/6=9",
"74-9=65"
] | Current State: 65:[54, 74, 63, 57], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [54, 74, 6]
Generated Node #2: [54, 74, 6] from Operation: 63-57=6
Current State: 65:[54, 74, 6], Operations: ['63-57=6']
Exploring Operation: 54/6=9, Resulting Numbers: [74, 9]
Generated Node #3: [74, 9] from Operation: 54/6=9
Current State: 65:[74, 9], Operations: ['63-57=6', '54/6=9']
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
20,
37,
19,
41
] | 61 | [
"41-37=4",
"20*4=80",
"80-19=61"
] | Current State: 61:[20, 37, 19, 41], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [20, 19, 4]
Generated Node #2: [20, 19, 4] from Operation: 41-37=4
Current State: 61:[20, 19, 4], Operations: ['41-37=4']
Exploring Operation: 20*4=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 20*4=80
Current State: 61:[19, 80], Operations: ['41-37=4', '20*4=80']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
12,
24,
60,
47
] | 45 | [
"60-12=48",
"48/24=2",
"47-2=45"
] | Current State: 45:[12, 24, 60, 47], Operations: []
Exploring Operation: 60-12=48, Resulting Numbers: [24, 47, 48]
Generated Node #2: [24, 47, 48] from Operation: 60-12=48
Current State: 45:[24, 47, 48], Operations: ['60-12=48']
Exploring Operation: 48/24=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 48/24=2
Current State: 45:[47, 2], Operations: ['60-12=48', '48/24=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
5,
93,
86,
17
] | 78 | [
"5*17=85",
"93-86=7",
"85-7=78"
] | Current State: 78:[5, 93, 86, 17], Operations: []
Exploring Operation: 5*17=85, Resulting Numbers: [93, 86, 85]
Generated Node #2: [93, 86, 85] from Operation: 5*17=85
Current State: 78:[93, 86, 85], Operations: ['5*17=85']
Exploring Operation: 93-86=7, Resulting Numbers: [85, 7]
Generated Node #3: [85, 7] from Operation: 93-86=7
Current State: 78:[85, 7], Operations: ['5*17=85', '93-86=7']
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
62,
47,
60,
6
] | 69 | [
"62-47=15",
"60-6=54",
"15+54=69"
] | Current State: 69:[62, 47, 60, 6], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [60, 6, 15]
Generated Node #2: [60, 6, 15] from Operation: 62-47=15
Current State: 69:[60, 6, 15], Operations: ['62-47=15']
Exploring Operation: 60-6=54, Resulting Numbers: [15, 54]
Generated Node #3: [15, 54] from Operation: 60-6=54
Current State: 69:[15, 54], Operations: ['62-47=15', '60-6=54']
Exploring Operation: 15+54=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
17,
43,
81,
3
] | 53 | [
"43-17=26",
"81/3=27",
"26+27=53"
] | Current State: 53:[17, 43, 81, 3], Operations: []
Exploring Operation: 43-17=26, Resulting Numbers: [81, 3, 26]
Generated Node #2: [81, 3, 26] from Operation: 43-17=26
Current State: 53:[81, 3, 26], Operations: ['43-17=26']
Exploring Operation: 81/3=27, Resulting Numbers: [26, 27]
Generated Node #3: [26, 27] from Operation: 81/3=27
Current State: 53:[26, 27], Operations: ['43-17=26', '81/3=27']
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
26,
17,
28,
74
] | 98 | [
"17+74=91",
"28*91=2548",
"2548/26=98"
] | Current State: 98:[26, 17, 28, 74], Operations: []
Exploring Operation: 17+74=91, Resulting Numbers: [26, 28, 91]
Generated Node #2: [26, 28, 91] from Operation: 17+74=91
Current State: 98:[26, 28, 91], Operations: ['17+74=91']
Exploring Operation: 28*91=2548, Resulting Numbers: [26, 2548]
Generated Node #3: [26, 2548] from Operation: 28*91=2548
Current State: 98:[26, 2548], Operations: ['17+74=91', '28*91=2548']
Exploring Operation: 2548/26=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
50,
76,
69,
18
] | 39 | [
"50+76=126",
"69+18=87",
"126-87=39"
] | Current State: 39:[50, 76, 69, 18], Operations: []
Exploring Operation: 50+76=126, Resulting Numbers: [69, 18, 126]
Generated Node #2: [69, 18, 126] from Operation: 50+76=126
Current State: 39:[69, 18, 126], Operations: ['50+76=126']
Exploring Operation: 69+18=87, Resulting Numbers: [126, 87]
Generated Node #3: [126, 87] from Operation: 69+18=87
Current State: 39:[126, 87], Operations: ['50+76=126', '69+18=87']
Exploring Operation: 126-87=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
3,
98,
61,
89
] | 73 | [
"3+98=101",
"89-61=28",
"101-28=73"
] | Current State: 73:[3, 98, 61, 89], Operations: []
Exploring Operation: 3+98=101, Resulting Numbers: [61, 89, 101]
Generated Node #2: [61, 89, 101] from Operation: 3+98=101
Current State: 73:[61, 89, 101], Operations: ['3+98=101']
Exploring Operation: 89-61=28, Resulting Numbers: [101, 28]
Generated Node #3: [101, 28] from Operation: 89-61=28
Current State: 73:[101, 28], Operations: ['3+98=101', '89-61=28']
Exploring Operation: 101-28=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
51,
44,
16,
59
] | 50 | [
"51-44=7",
"59-16=43",
"7+43=50"
] | Current State: 50:[51, 44, 16, 59], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [16, 59, 7]
Generated Node #2: [16, 59, 7] from Operation: 51-44=7
Current State: 50:[16, 59, 7], Operations: ['51-44=7']
Exploring Operation: 59-16=43, Resulting Numbers: [7, 43]
Generated Node #3: [7, 43] from Operation: 59-16=43
Current State: 50:[7, 43], Operations: ['51-44=7', '59-16=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
86,
91,
75,
40
] | 62 | [
"86+91=177",
"75+40=115",
"177-115=62"
] | Current State: 62:[86, 91, 75, 40], Operations: []
Exploring Operation: 86+91=177, Resulting Numbers: [75, 40, 177]
Generated Node #2: [75, 40, 177] from Operation: 86+91=177
Current State: 62:[75, 40, 177], Operations: ['86+91=177']
Exploring Operation: 75+40=115, Resulting Numbers: [177, 115]
Generated Node #3: [177, 115] from Operation: 75+40=115
Current State: 62:[177, 115], Operations: ['86+91=177', '75+40=115']
Exploring Operation: 177-115=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
44,
76,
14,
78
] | 72 | [
"78-76=2",
"14*2=28",
"44+28=72"
] | Current State: 72:[44, 76, 14, 78], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [44, 14, 2]
Generated Node #2: [44, 14, 2] from Operation: 78-76=2
Current State: 72:[44, 14, 2], Operations: ['78-76=2']
Exploring Operation: 14*2=28, Resulting Numbers: [44, 28]
Generated Node #3: [44, 28] from Operation: 14*2=28
Current State: 72:[44, 28], Operations: ['78-76=2', '14*2=28']
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
45,
2,
38,
57
] | 48 | [
"45+2=47",
"38+57=95",
"95-47=48"
] | Current State: 48:[45, 2, 38, 57], Operations: []
Exploring Operation: 45+2=47, Resulting Numbers: [38, 57, 47]
Generated Node #2: [38, 57, 47] from Operation: 45+2=47
Current State: 48:[38, 57, 47], Operations: ['45+2=47']
Exploring Operation: 38+57=95, Resulting Numbers: [47, 95]
Generated Node #3: [47, 95] from Operation: 38+57=95
Current State: 48:[47, 95], Operations: ['45+2=47', '38+57=95']
Exploring Operation: 95-47=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
8,
30,
55,
22
] | 56 | [
"30-8=22",
"22/22=1",
"55+1=56"
] | Current State: 56:[8, 30, 55, 22], Operations: []
Exploring Operation: 30-8=22, Resulting Numbers: [55, 22, 22]
Generated Node #2: [55, 22, 22] from Operation: 30-8=22
Current State: 56:[55, 22, 22], Operations: ['30-8=22']
Exploring Operation: 22/22=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 22/22=1
Current State: 56:[55, 1], Operations: ['30-8=22', '22/22=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
77,
66,
30,
8
] | 89 | [
"66+30=96",
"96/8=12",
"77+12=89"
] | Current State: 89:[77, 66, 30, 8], Operations: []
Exploring Operation: 66+30=96, Resulting Numbers: [77, 8, 96]
Generated Node #2: [77, 8, 96] from Operation: 66+30=96
Current State: 89:[77, 8, 96], Operations: ['66+30=96']
Exploring Operation: 96/8=12, Resulting Numbers: [77, 12]
Generated Node #3: [77, 12] from Operation: 96/8=12
Current State: 89:[77, 12], Operations: ['66+30=96', '96/8=12']
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
1,
12,
7,
77
] | 24 | [
"1+12=13",
"77/7=11",
"13+11=24"
] | Current State: 24:[1, 12, 7, 77], Operations: []
Exploring Operation: 1+12=13, Resulting Numbers: [7, 77, 13]
Generated Node #2: [7, 77, 13] from Operation: 1+12=13
Current State: 24:[7, 77, 13], Operations: ['1+12=13']
Exploring Operation: 77/7=11, Resulting Numbers: [13, 11]
Generated Node #3: [13, 11] from Operation: 77/7=11
Current State: 24:[13, 11], Operations: ['1+12=13', '77/7=11']
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
80,
6,
23
] | 21 | [
"80/10=8",
"6+23=29",
"29-8=21"
] | Current State: 21:[10, 80, 6, 23], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [6, 23, 8]
Generated Node #2: [6, 23, 8] from Operation: 80/10=8
Current State: 21:[6, 23, 8], Operations: ['80/10=8']
Exploring Operation: 6+23=29, Resulting Numbers: [8, 29]
Generated Node #3: [8, 29] from Operation: 6+23=29
Current State: 21:[8, 29], Operations: ['80/10=8', '6+23=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
67,
99,
69,
58
] | 82 | [
"69-67=2",
"99-58=41",
"2*41=82"
] | Current State: 82:[67, 99, 69, 58], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [99, 58, 2]
Generated Node #2: [99, 58, 2] from Operation: 69-67=2
Current State: 82:[99, 58, 2], Operations: ['69-67=2']
Exploring Operation: 99-58=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 99-58=41
Current State: 82:[2, 41], Operations: ['69-67=2', '99-58=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
66,
98,
54,
18
] | 63 | [
"66+18=84",
"98*54=5292",
"5292/84=63"
] | Current State: 63:[66, 98, 54, 18], Operations: []
Exploring Operation: 66+18=84, Resulting Numbers: [98, 54, 84]
Generated Node #2: [98, 54, 84] from Operation: 66+18=84
Current State: 63:[98, 54, 84], Operations: ['66+18=84']
Exploring Operation: 98*54=5292, Resulting Numbers: [84, 5292]
Generated Node #3: [84, 5292] from Operation: 98*54=5292
Current State: 63:[84, 5292], Operations: ['66+18=84', '98*54=5292']
Exploring Operation: 5292/84=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
71,
16,
52,
78
] | 95 | [
"16*78=1248",
"1248/52=24",
"71+24=95"
] | Current State: 95:[71, 16, 52, 78], Operations: []
Exploring Operation: 16*78=1248, Resulting Numbers: [71, 52, 1248]
Generated Node #2: [71, 52, 1248] from Operation: 16*78=1248
Current State: 95:[71, 52, 1248], Operations: ['16*78=1248']
Exploring Operation: 1248/52=24, Resulting Numbers: [71, 24]
Generated Node #3: [71, 24] from Operation: 1248/52=24
Current State: 95:[71, 24], Operations: ['16*78=1248', '1248/52=24']
Exploring Operation: 71+24=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
93,
59,
5,
94
] | 53 | [
"93+59=152",
"5+94=99",
"152-99=53"
] | Current State: 53:[93, 59, 5, 94], Operations: []
Exploring Operation: 93+59=152, Resulting Numbers: [5, 94, 152]
Generated Node #2: [5, 94, 152] from Operation: 93+59=152
Current State: 53:[5, 94, 152], Operations: ['93+59=152']
Exploring Operation: 5+94=99, Resulting Numbers: [152, 99]
Generated Node #3: [152, 99] from Operation: 5+94=99
Current State: 53:[152, 99], Operations: ['93+59=152', '5+94=99']
Exploring Operation: 152-99=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
78,
14,
42,
3
] | 66 | [
"78-14=64",
"64-42=22",
"3*22=66"
] | Current State: 66:[78, 14, 42, 3], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [42, 3, 64]
Generated Node #2: [42, 3, 64] from Operation: 78-14=64
Current State: 66:[42, 3, 64], Operations: ['78-14=64']
Exploring Operation: 64-42=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 64-42=22
Current State: 66:[3, 22], Operations: ['78-14=64', '64-42=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
7,
1,
26,
52
] | 15 | [
"7*52=364",
"364/26=14",
"1+14=15"
] | Current State: 15:[7, 1, 26, 52], Operations: []
Exploring Operation: 7*52=364, Resulting Numbers: [1, 26, 364]
Generated Node #2: [1, 26, 364] from Operation: 7*52=364
Current State: 15:[1, 26, 364], Operations: ['7*52=364']
Exploring Operation: 364/26=14, Resulting Numbers: [1, 14]
Generated Node #3: [1, 14] from Operation: 364/26=14
Current State: 15:[1, 14], Operations: ['7*52=364', '364/26=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
60,
17,
7,
31
] | 84 | [
"60-17=43",
"43-31=12",
"7*12=84"
] | Current State: 84:[60, 17, 7, 31], Operations: []
Exploring Operation: 60-17=43, Resulting Numbers: [7, 31, 43]
Generated Node #2: [7, 31, 43] from Operation: 60-17=43
Current State: 84:[7, 31, 43], Operations: ['60-17=43']
Exploring Operation: 43-31=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 43-31=12
Current State: 84:[7, 12], Operations: ['60-17=43', '43-31=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
48,
31,
8,
83
] | 74 | [
"48-31=17",
"8+83=91",
"91-17=74"
] | Current State: 74:[48, 31, 8, 83], Operations: []
Exploring Operation: 48-31=17, Resulting Numbers: [8, 83, 17]
Generated Node #2: [8, 83, 17] from Operation: 48-31=17
Current State: 74:[8, 83, 17], Operations: ['48-31=17']
Exploring Operation: 8+83=91, Resulting Numbers: [17, 91]
Generated Node #3: [17, 91] from Operation: 8+83=91
Current State: 74:[17, 91], Operations: ['48-31=17', '8+83=91']
Exploring Operation: 91-17=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
47,
39,
57,
75
] | 45 | [
"39+75=114",
"114/57=2",
"47-2=45"
] | Current State: 45:[47, 39, 57, 75], Operations: []
Exploring Operation: 39+75=114, Resulting Numbers: [47, 57, 114]
Generated Node #2: [47, 57, 114] from Operation: 39+75=114
Current State: 45:[47, 57, 114], Operations: ['39+75=114']
Exploring Operation: 114/57=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 114/57=2
Current State: 45:[47, 2], Operations: ['39+75=114', '114/57=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
39,
76,
37
] | 52 | [
"39/3=13",
"76-37=39",
"13+39=52"
] | Current State: 52:[3, 39, 76, 37], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [76, 37, 13]
Generated Node #2: [76, 37, 13] from Operation: 39/3=13
Current State: 52:[76, 37, 13], Operations: ['39/3=13']
Exploring Operation: 76-37=39, Resulting Numbers: [13, 39]
Generated Node #3: [13, 39] from Operation: 76-37=39
Current State: 52:[13, 39], Operations: ['39/3=13', '76-37=39']
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
73,
96,
6,
75
] | 14 | [
"75-73=2",
"96/6=16",
"16-2=14"
] | Current State: 14:[73, 96, 6, 75], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [96, 6, 2]
Generated Node #2: [96, 6, 2] from Operation: 75-73=2
Current State: 14:[96, 6, 2], Operations: ['75-73=2']
Exploring Operation: 96/6=16, Resulting Numbers: [2, 16]
Generated Node #3: [2, 16] from Operation: 96/6=16
Current State: 14:[2, 16], Operations: ['75-73=2', '96/6=16']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
78,
48,
35,
51
] | 56 | [
"78-48=30",
"35+51=86",
"86-30=56"
] | Current State: 56:[78, 48, 35, 51], Operations: []
Exploring Operation: 78-48=30, Resulting Numbers: [35, 51, 30]
Generated Node #2: [35, 51, 30] from Operation: 78-48=30
Current State: 56:[35, 51, 30], Operations: ['78-48=30']
Exploring Operation: 35+51=86, Resulting Numbers: [30, 86]
Generated Node #3: [30, 86] from Operation: 35+51=86
Current State: 56:[30, 86], Operations: ['78-48=30', '35+51=86']
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
70,
48,
5,
11
] | 55 | [
"70-48=22",
"22-11=11",
"5*11=55"
] | Current State: 55:[70, 48, 5, 11], Operations: []
Exploring Operation: 70-48=22, Resulting Numbers: [5, 11, 22]
Generated Node #2: [5, 11, 22] from Operation: 70-48=22
Current State: 55:[5, 11, 22], Operations: ['70-48=22']
Exploring Operation: 22-11=11, Resulting Numbers: [5, 11]
Generated Node #3: [5, 11] from Operation: 22-11=11
Current State: 55:[5, 11], Operations: ['70-48=22', '22-11=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
78,
61,
44,
10
] | 59 | [
"78+10=88",
"88/44=2",
"61-2=59"
] | Current State: 59:[78, 61, 44, 10], Operations: []
Exploring Operation: 78+10=88, Resulting Numbers: [61, 44, 88]
Generated Node #2: [61, 44, 88] from Operation: 78+10=88
Current State: 59:[61, 44, 88], Operations: ['78+10=88']
Exploring Operation: 88/44=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 88/44=2
Current State: 59:[61, 2], Operations: ['78+10=88', '88/44=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
79,
13,
70,
70
] | 92 | [
"79+13=92",
"70-70=0",
"92+0=92"
] | Current State: 92:[79, 13, 70, 70], Operations: []
Exploring Operation: 79+13=92, Resulting Numbers: [70, 70, 92]
Generated Node #2: [70, 70, 92] from Operation: 79+13=92
Current State: 92:[70, 70, 92], Operations: ['79+13=92']
Exploring Operation: 70-70=0, Resulting Numbers: [92, 0]
Generated Node #3: [92, 0] from Operation: 70-70=0
Current State: 92:[92, 0], Operations: ['79+13=92', '70-70=0']
Exploring Operation: 92+0=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
45,
18,
27,
94
] | 58 | [
"45+18=63",
"27+94=121",
"121-63=58"
] | Current State: 58:[45, 18, 27, 94], Operations: []
Exploring Operation: 45+18=63, Resulting Numbers: [27, 94, 63]
Generated Node #2: [27, 94, 63] from Operation: 45+18=63
Current State: 58:[27, 94, 63], Operations: ['45+18=63']
Exploring Operation: 27+94=121, Resulting Numbers: [63, 121]
Generated Node #3: [63, 121] from Operation: 27+94=121
Current State: 58:[63, 121], Operations: ['45+18=63', '27+94=121']
Exploring Operation: 121-63=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
76,
58,
69,
25
] | 62 | [
"76-58=18",
"69-25=44",
"18+44=62"
] | Current State: 62:[76, 58, 69, 25], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [69, 25, 18]
Generated Node #2: [69, 25, 18] from Operation: 76-58=18
Current State: 62:[69, 25, 18], Operations: ['76-58=18']
Exploring Operation: 69-25=44, Resulting Numbers: [18, 44]
Generated Node #3: [18, 44] from Operation: 69-25=44
Current State: 62:[18, 44], Operations: ['76-58=18', '69-25=44']
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
87,
48,
82,
35
] | 87 | [
"82-48=34",
"35-34=1",
"87*1=87"
] | Current State: 87:[87, 48, 82, 35], Operations: []
Exploring Operation: 82-48=34, Resulting Numbers: [87, 35, 34]
Generated Node #2: [87, 35, 34] from Operation: 82-48=34
Current State: 87:[87, 35, 34], Operations: ['82-48=34']
Exploring Operation: 35-34=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 35-34=1
Current State: 87:[87, 1], Operations: ['82-48=34', '35-34=1']
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
78,
9,
59,
24
] | 53 | [
"78-24=54",
"54/9=6",
"59-6=53"
] | Current State: 53:[78, 9, 59, 24], Operations: []
Exploring Operation: 78-24=54, Resulting Numbers: [9, 59, 54]
Generated Node #2: [9, 59, 54] from Operation: 78-24=54
Current State: 53:[9, 59, 54], Operations: ['78-24=54']
Exploring Operation: 54/9=6, Resulting Numbers: [59, 6]
Generated Node #3: [59, 6] from Operation: 54/9=6
Current State: 53:[59, 6], Operations: ['78-24=54', '54/9=6']
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
49,
99,
45,
5
] | 19 | [
"99-49=50",
"45+50=95",
"95/5=19"
] | Current State: 19:[49, 99, 45, 5], Operations: []
Exploring Operation: 99-49=50, Resulting Numbers: [45, 5, 50]
Generated Node #2: [45, 5, 50] from Operation: 99-49=50
Current State: 19:[45, 5, 50], Operations: ['99-49=50']
Exploring Operation: 45+50=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 45+50=95
Current State: 19:[5, 95], Operations: ['99-49=50', '45+50=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
92,
98,
20,
25
] | 30 | [
"98-92=6",
"25-20=5",
"6*5=30"
] | Current State: 30:[92, 98, 20, 25], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [20, 25, 6]
Generated Node #2: [20, 25, 6] from Operation: 98-92=6
Current State: 30:[20, 25, 6], Operations: ['98-92=6']
Exploring Operation: 25-20=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 25-20=5
Current State: 30:[6, 5], Operations: ['98-92=6', '25-20=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
62,
10,
27,
42
] | 93 | [
"42-27=15",
"62*15=930",
"930/10=93"
] | Current State: 93:[62, 10, 27, 42], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [62, 10, 15]
Generated Node #2: [62, 10, 15] from Operation: 42-27=15
Current State: 93:[62, 10, 15], Operations: ['42-27=15']
Exploring Operation: 62*15=930, Resulting Numbers: [10, 930]
Generated Node #3: [10, 930] from Operation: 62*15=930
Current State: 93:[10, 930], Operations: ['42-27=15', '62*15=930']
Exploring Operation: 930/10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
26,
63,
67,
65
] | 76 | [
"67-65=2",
"26/2=13",
"63+13=76"
] | Current State: 76:[26, 63, 67, 65], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [26, 63, 2]
Generated Node #2: [26, 63, 2] from Operation: 67-65=2
Current State: 76:[26, 63, 2], Operations: ['67-65=2']
Exploring Operation: 26/2=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 26/2=13
Current State: 76:[63, 13], Operations: ['67-65=2', '26/2=13']
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
49,
48,
16,
5
] | 20 | [
"49-48=1",
"16+5=21",
"21-1=20"
] | Current State: 20:[49, 48, 16, 5], Operations: []
Exploring Operation: 49-48=1, Resulting Numbers: [16, 5, 1]
Generated Node #2: [16, 5, 1] from Operation: 49-48=1
Current State: 20:[16, 5, 1], Operations: ['49-48=1']
Exploring Operation: 16+5=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 16+5=21
Current State: 20:[1, 21], Operations: ['49-48=1', '16+5=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
73,
14,
59,
77
] | 49 | [
"73+14=87",
"59+77=136",
"136-87=49"
] | Current State: 49:[73, 14, 59, 77], Operations: []
Exploring Operation: 73+14=87, Resulting Numbers: [59, 77, 87]
Generated Node #2: [59, 77, 87] from Operation: 73+14=87
Current State: 49:[59, 77, 87], Operations: ['73+14=87']
Exploring Operation: 59+77=136, Resulting Numbers: [87, 136]
Generated Node #3: [87, 136] from Operation: 59+77=136
Current State: 49:[87, 136], Operations: ['73+14=87', '59+77=136']
Exploring Operation: 136-87=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
80,
40,
4,
2
] | 98 | [
"40-4=36",
"36/2=18",
"80+18=98"
] | Current State: 98:[80, 40, 4, 2], Operations: []
Exploring Operation: 40-4=36, Resulting Numbers: [80, 2, 36]
Generated Node #2: [80, 2, 36] from Operation: 40-4=36
Current State: 98:[80, 2, 36], Operations: ['40-4=36']
Exploring Operation: 36/2=18, Resulting Numbers: [80, 18]
Generated Node #3: [80, 18] from Operation: 36/2=18
Current State: 98:[80, 18], Operations: ['40-4=36', '36/2=18']
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
86,
95,
20,
10
] | 39 | [
"95-86=9",
"20+10=30",
"9+30=39"
] | Current State: 39:[86, 95, 20, 10], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [20, 10, 9]
Generated Node #2: [20, 10, 9] from Operation: 95-86=9
Current State: 39:[20, 10, 9], Operations: ['95-86=9']
Exploring Operation: 20+10=30, Resulting Numbers: [9, 30]
Generated Node #3: [9, 30] from Operation: 20+10=30
Current State: 39:[9, 30], Operations: ['95-86=9', '20+10=30']
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
22,
84,
9,
5
] | 48 | [
"84-22=62",
"9+5=14",
"62-14=48"
] | Current State: 48:[22, 84, 9, 5], Operations: []
Exploring Operation: 84-22=62, Resulting Numbers: [9, 5, 62]
Generated Node #2: [9, 5, 62] from Operation: 84-22=62
Current State: 48:[9, 5, 62], Operations: ['84-22=62']
Exploring Operation: 9+5=14, Resulting Numbers: [62, 14]
Generated Node #3: [62, 14] from Operation: 9+5=14
Current State: 48:[62, 14], Operations: ['84-22=62', '9+5=14']
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
71,
97,
51
] | 57 | [
"71-51=20",
"2*20=40",
"97-40=57"
] | Current State: 57:[2, 71, 97, 51], Operations: []
Exploring Operation: 71-51=20, Resulting Numbers: [2, 97, 20]
Generated Node #2: [2, 97, 20] from Operation: 71-51=20
Current State: 57:[2, 97, 20], Operations: ['71-51=20']
Exploring Operation: 2*20=40, Resulting Numbers: [97, 40]
Generated Node #3: [97, 40] from Operation: 2*20=40
Current State: 57:[97, 40], Operations: ['71-51=20', '2*20=40']
Exploring Operation: 97-40=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
73,
46,
13,
19
] | 21 | [
"73-46=27",
"19-13=6",
"27-6=21"
] | Current State: 21:[73, 46, 13, 19], Operations: []
Exploring Operation: 73-46=27, Resulting Numbers: [13, 19, 27]
Generated Node #2: [13, 19, 27] from Operation: 73-46=27
Current State: 21:[13, 19, 27], Operations: ['73-46=27']
Exploring Operation: 19-13=6, Resulting Numbers: [27, 6]
Generated Node #3: [27, 6] from Operation: 19-13=6
Current State: 21:[27, 6], Operations: ['73-46=27', '19-13=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
48,
69,
63,
84
] | 87 | [
"69-48=21",
"63/21=3",
"84+3=87"
] | Current State: 87:[48, 69, 63, 84], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [63, 84, 21]
Generated Node #2: [63, 84, 21] from Operation: 69-48=21
Current State: 87:[63, 84, 21], Operations: ['69-48=21']
Exploring Operation: 63/21=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 63/21=3
Current State: 87:[84, 3], Operations: ['69-48=21', '63/21=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
7,
54,
75,
96
] | 68 | [
"54-7=47",
"96-75=21",
"47+21=68"
] | Current State: 68:[7, 54, 75, 96], Operations: []
Exploring Operation: 54-7=47, Resulting Numbers: [75, 96, 47]
Generated Node #2: [75, 96, 47] from Operation: 54-7=47
Current State: 68:[75, 96, 47], Operations: ['54-7=47']
Exploring Operation: 96-75=21, Resulting Numbers: [47, 21]
Generated Node #3: [47, 21] from Operation: 96-75=21
Current State: 68:[47, 21], Operations: ['54-7=47', '96-75=21']
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
11,
70,
18,
89
] | 12 | [
"70-11=59",
"89-18=71",
"71-59=12"
] | Current State: 12:[11, 70, 18, 89], Operations: []
Exploring Operation: 70-11=59, Resulting Numbers: [18, 89, 59]
Generated Node #2: [18, 89, 59] from Operation: 70-11=59
Current State: 12:[18, 89, 59], Operations: ['70-11=59']
Exploring Operation: 89-18=71, Resulting Numbers: [59, 71]
Generated Node #3: [59, 71] from Operation: 89-18=71
Current State: 12:[59, 71], Operations: ['70-11=59', '89-18=71']
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
13,
83,
82,
7
] | 74 | [
"13*7=91",
"83+82=165",
"165-91=74"
] | Current State: 74:[13, 83, 82, 7], Operations: []
Exploring Operation: 13*7=91, Resulting Numbers: [83, 82, 91]
Generated Node #2: [83, 82, 91] from Operation: 13*7=91
Current State: 74:[83, 82, 91], Operations: ['13*7=91']
Exploring Operation: 83+82=165, Resulting Numbers: [91, 165]
Generated Node #3: [91, 165] from Operation: 83+82=165
Current State: 74:[91, 165], Operations: ['13*7=91', '83+82=165']
Exploring Operation: 165-91=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
88,
22,
21,
65
] | 66 | [
"88+22=110",
"65-21=44",
"110-44=66"
] | Current State: 66:[88, 22, 21, 65], Operations: []
Exploring Operation: 88+22=110, Resulting Numbers: [21, 65, 110]
Generated Node #2: [21, 65, 110] from Operation: 88+22=110
Current State: 66:[21, 65, 110], Operations: ['88+22=110']
Exploring Operation: 65-21=44, Resulting Numbers: [110, 44]
Generated Node #3: [110, 44] from Operation: 65-21=44
Current State: 66:[110, 44], Operations: ['88+22=110', '65-21=44']
Exploring Operation: 110-44=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
3,
47,
18,
66
] | 59 | [
"3*18=54",
"47+66=113",
"113-54=59"
] | Current State: 59:[3, 47, 18, 66], Operations: []
Exploring Operation: 3*18=54, Resulting Numbers: [47, 66, 54]
Generated Node #2: [47, 66, 54] from Operation: 3*18=54
Current State: 59:[47, 66, 54], Operations: ['3*18=54']
Exploring Operation: 47+66=113, Resulting Numbers: [54, 113]
Generated Node #3: [54, 113] from Operation: 47+66=113
Current State: 59:[54, 113], Operations: ['3*18=54', '47+66=113']
Exploring Operation: 113-54=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
47,
83,
67,
6
] | 37 | [
"83-47=36",
"67+6=73",
"73-36=37"
] | Current State: 37:[47, 83, 67, 6], Operations: []
Exploring Operation: 83-47=36, Resulting Numbers: [67, 6, 36]
Generated Node #2: [67, 6, 36] from Operation: 83-47=36
Current State: 37:[67, 6, 36], Operations: ['83-47=36']
Exploring Operation: 67+6=73, Resulting Numbers: [36, 73]
Generated Node #3: [36, 73] from Operation: 67+6=73
Current State: 37:[36, 73], Operations: ['83-47=36', '67+6=73']
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
96,
19,
40,
8
] | 12 | [
"96-40=56",
"56/8=7",
"19-7=12"
] | Current State: 12:[96, 19, 40, 8], Operations: []
Exploring Operation: 96-40=56, Resulting Numbers: [19, 8, 56]
Generated Node #2: [19, 8, 56] from Operation: 96-40=56
Current State: 12:[19, 8, 56], Operations: ['96-40=56']
Exploring Operation: 56/8=7, Resulting Numbers: [19, 7]
Generated Node #3: [19, 7] from Operation: 56/8=7
Current State: 12:[19, 7], Operations: ['96-40=56', '56/8=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
43,
4,
48,
17
] | 27 | [
"43+48=91",
"17+91=108",
"108/4=27"
] | Current State: 27:[43, 4, 48, 17], Operations: []
Exploring Operation: 43+48=91, Resulting Numbers: [4, 17, 91]
Generated Node #2: [4, 17, 91] from Operation: 43+48=91
Current State: 27:[4, 17, 91], Operations: ['43+48=91']
Exploring Operation: 17+91=108, Resulting Numbers: [4, 108]
Generated Node #3: [4, 108] from Operation: 17+91=108
Current State: 27:[4, 108], Operations: ['43+48=91', '17+91=108']
Exploring Operation: 108/4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
35,
7,
40,
13
] | 16 | [
"35+40=75",
"7*13=91",
"91-75=16"
] | Current State: 16:[35, 7, 40, 13], Operations: []
Exploring Operation: 35+40=75, Resulting Numbers: [7, 13, 75]
Generated Node #2: [7, 13, 75] from Operation: 35+40=75
Current State: 16:[7, 13, 75], Operations: ['35+40=75']
Exploring Operation: 7*13=91, Resulting Numbers: [75, 91]
Generated Node #3: [75, 91] from Operation: 7*13=91
Current State: 16:[75, 91], Operations: ['35+40=75', '7*13=91']
Exploring Operation: 91-75=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
82,
26,
1,
88
] | 33 | [
"82-26=56",
"1+88=89",
"89-56=33"
] | Current State: 33:[82, 26, 1, 88], Operations: []
Exploring Operation: 82-26=56, Resulting Numbers: [1, 88, 56]
Generated Node #2: [1, 88, 56] from Operation: 82-26=56
Current State: 33:[1, 88, 56], Operations: ['82-26=56']
Exploring Operation: 1+88=89, Resulting Numbers: [56, 89]
Generated Node #3: [56, 89] from Operation: 1+88=89
Current State: 33:[56, 89], Operations: ['82-26=56', '1+88=89']
Exploring Operation: 89-56=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
11,
99,
69,
5
] | 28 | [
"11-5=6",
"99+69=168",
"168/6=28"
] | Current State: 28:[11, 99, 69, 5], Operations: []
Exploring Operation: 11-5=6, Resulting Numbers: [99, 69, 6]
Generated Node #2: [99, 69, 6] from Operation: 11-5=6
Current State: 28:[99, 69, 6], Operations: ['11-5=6']
Exploring Operation: 99+69=168, Resulting Numbers: [6, 168]
Generated Node #3: [6, 168] from Operation: 99+69=168
Current State: 28:[6, 168], Operations: ['11-5=6', '99+69=168']
Exploring Operation: 168/6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
58,
72,
57,
63
] | 70 | [
"63-57=6",
"72/6=12",
"58+12=70"
] | Current State: 70:[58, 72, 57, 63], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [58, 72, 6]
Generated Node #2: [58, 72, 6] from Operation: 63-57=6
Current State: 70:[58, 72, 6], Operations: ['63-57=6']
Exploring Operation: 72/6=12, Resulting Numbers: [58, 12]
Generated Node #3: [58, 12] from Operation: 72/6=12
Current State: 70:[58, 12], Operations: ['63-57=6', '72/6=12']
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
70,
14,
84,
77
] | 10 | [
"77-70=7",
"84-14=70",
"70/7=10"
] | Current State: 10:[70, 14, 84, 77], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [14, 84, 7]
Generated Node #2: [14, 84, 7] from Operation: 77-70=7
Current State: 10:[14, 84, 7], Operations: ['77-70=7']
Exploring Operation: 84-14=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 84-14=70
Current State: 10:[7, 70], Operations: ['77-70=7', '84-14=70']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
82,
51,
51,
70
] | 82 | [
"51-51=0",
"70*0=0",
"82+0=82"
] | Current State: 82:[82, 51, 51, 70], Operations: []
Exploring Operation: 51-51=0, Resulting Numbers: [82, 70, 0]
Generated Node #2: [82, 70, 0] from Operation: 51-51=0
Current State: 82:[82, 70, 0], Operations: ['51-51=0']
Exploring Operation: 70*0=0, Resulting Numbers: [82, 0]
Generated Node #3: [82, 0] from Operation: 70*0=0
Current State: 82:[82, 0], Operations: ['51-51=0', '70*0=0']
Exploring Operation: 82+0=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
40,
26,
84,
98
] | 80 | [
"40+26=66",
"98-84=14",
"66+14=80"
] | Current State: 80:[40, 26, 84, 98], Operations: []
Exploring Operation: 40+26=66, Resulting Numbers: [84, 98, 66]
Generated Node #2: [84, 98, 66] from Operation: 40+26=66
Current State: 80:[84, 98, 66], Operations: ['40+26=66']
Exploring Operation: 98-84=14, Resulting Numbers: [66, 14]
Generated Node #3: [66, 14] from Operation: 98-84=14
Current State: 80:[66, 14], Operations: ['40+26=66', '98-84=14']
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
1,
28,
71,
25
] | 18 | [
"1*28=28",
"71-25=46",
"46-28=18"
] | Current State: 18:[1, 28, 71, 25], Operations: []
Exploring Operation: 1*28=28, Resulting Numbers: [71, 25, 28]
Generated Node #2: [71, 25, 28] from Operation: 1*28=28
Current State: 18:[71, 25, 28], Operations: ['1*28=28']
Exploring Operation: 71-25=46, Resulting Numbers: [28, 46]
Generated Node #3: [28, 46] from Operation: 71-25=46
Current State: 18:[28, 46], Operations: ['1*28=28', '71-25=46']
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
85,
40,
58,
86
] | 73 | [
"85-40=45",
"86-58=28",
"45+28=73"
] | Current State: 73:[85, 40, 58, 86], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [58, 86, 45]
Generated Node #2: [58, 86, 45] from Operation: 85-40=45
Current State: 73:[58, 86, 45], Operations: ['85-40=45']
Exploring Operation: 86-58=28, Resulting Numbers: [45, 28]
Generated Node #3: [45, 28] from Operation: 86-58=28
Current State: 73:[45, 28], Operations: ['85-40=45', '86-58=28']
Exploring Operation: 45+28=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
58,
16,
65,
14
] | 37 | [
"58-16=42",
"65+14=79",
"79-42=37"
] | Current State: 37:[58, 16, 65, 14], Operations: []
Exploring Operation: 58-16=42, Resulting Numbers: [65, 14, 42]
Generated Node #2: [65, 14, 42] from Operation: 58-16=42
Current State: 37:[65, 14, 42], Operations: ['58-16=42']
Exploring Operation: 65+14=79, Resulting Numbers: [42, 79]
Generated Node #3: [42, 79] from Operation: 65+14=79
Current State: 37:[42, 79], Operations: ['58-16=42', '65+14=79']
Exploring Operation: 79-42=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
88,
48,
29,
80
] | 11 | [
"88-48=40",
"80-29=51",
"51-40=11"
] | Current State: 11:[88, 48, 29, 80], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [29, 80, 40]
Generated Node #2: [29, 80, 40] from Operation: 88-48=40
Current State: 11:[29, 80, 40], Operations: ['88-48=40']
Exploring Operation: 80-29=51, Resulting Numbers: [40, 51]
Generated Node #3: [40, 51] from Operation: 80-29=51
Current State: 11:[40, 51], Operations: ['88-48=40', '80-29=51']
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
39,
60,
55,
89
] | 66 | [
"89-39=50",
"60*55=3300",
"3300/50=66"
] | Current State: 66:[39, 60, 55, 89], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [60, 55, 50]
Generated Node #2: [60, 55, 50] from Operation: 89-39=50
Current State: 66:[60, 55, 50], Operations: ['89-39=50']
Exploring Operation: 60*55=3300, Resulting Numbers: [50, 3300]
Generated Node #3: [50, 3300] from Operation: 60*55=3300
Current State: 66:[50, 3300], Operations: ['89-39=50', '60*55=3300']
Exploring Operation: 3300/50=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
44,
57,
15,
5
] | 98 | [
"44+57=101",
"15/5=3",
"101-3=98"
] | Current State: 98:[44, 57, 15, 5], Operations: []
Exploring Operation: 44+57=101, Resulting Numbers: [15, 5, 101]
Generated Node #2: [15, 5, 101] from Operation: 44+57=101
Current State: 98:[15, 5, 101], Operations: ['44+57=101']
Exploring Operation: 15/5=3, Resulting Numbers: [101, 3]
Generated Node #3: [101, 3] from Operation: 15/5=3
Current State: 98:[101, 3], Operations: ['44+57=101', '15/5=3']
Exploring Operation: 101-3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
58,
85,
76,
54
] | 38 | [
"85-58=27",
"76*27=2052",
"2052/54=38"
] | Current State: 38:[58, 85, 76, 54], Operations: []
Exploring Operation: 85-58=27, Resulting Numbers: [76, 54, 27]
Generated Node #2: [76, 54, 27] from Operation: 85-58=27
Current State: 38:[76, 54, 27], Operations: ['85-58=27']
Exploring Operation: 76*27=2052, Resulting Numbers: [54, 2052]
Generated Node #3: [54, 2052] from Operation: 76*27=2052
Current State: 38:[54, 2052], Operations: ['85-58=27', '76*27=2052']
Exploring Operation: 2052/54=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
76,
39,
96,
57
] | 38 | [
"76+39=115",
"96+57=153",
"153-115=38"
] | Current State: 38:[76, 39, 96, 57], Operations: []
Exploring Operation: 76+39=115, Resulting Numbers: [96, 57, 115]
Generated Node #2: [96, 57, 115] from Operation: 76+39=115
Current State: 38:[96, 57, 115], Operations: ['76+39=115']
Exploring Operation: 96+57=153, Resulting Numbers: [115, 153]
Generated Node #3: [115, 153] from Operation: 96+57=153
Current State: 38:[115, 153], Operations: ['76+39=115', '96+57=153']
Exploring Operation: 153-115=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
1,
43,
14,
77
] | 74 | [
"43-1=42",
"42/14=3",
"77-3=74"
] | Current State: 74:[1, 43, 14, 77], Operations: []
Exploring Operation: 43-1=42, Resulting Numbers: [14, 77, 42]
Generated Node #2: [14, 77, 42] from Operation: 43-1=42
Current State: 74:[14, 77, 42], Operations: ['43-1=42']
Exploring Operation: 42/14=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 42/14=3
Current State: 74:[77, 3], Operations: ['43-1=42', '42/14=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
42,
50,
78,
68
] | 53 | [
"68-42=26",
"78/26=3",
"50+3=53"
] | Current State: 53:[42, 50, 78, 68], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [50, 78, 26]
Generated Node #2: [50, 78, 26] from Operation: 68-42=26
Current State: 53:[50, 78, 26], Operations: ['68-42=26']
Exploring Operation: 78/26=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 78/26=3
Current State: 53:[50, 3], Operations: ['68-42=26', '78/26=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
9,
7,
61,
9
] | 35 | [
"9-7=2",
"61+9=70",
"70/2=35"
] | Current State: 35:[9, 7, 61, 9], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [61, 2]
Generated Node #2: [61, 2] from Operation: 9-7=2
Current State: 35:[61, 2], Operations: ['9-7=2']
Exploring Operation: 61+9=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 61+9=70
Current State: 35:[2, 70], Operations: ['9-7=2', '61+9=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
66,
49,
7,
61
] | 35 | [
"66-61=5",
"49/7=7",
"5*7=35"
] | Current State: 35:[66, 49, 7, 61], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [49, 7, 5]
Generated Node #2: [49, 7, 5] from Operation: 66-61=5
Current State: 35:[49, 7, 5], Operations: ['66-61=5']
Exploring Operation: 49/7=7, Resulting Numbers: [5, 7]
Generated Node #3: [5, 7] from Operation: 49/7=7
Current State: 35:[5, 7], Operations: ['66-61=5', '49/7=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
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