nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
82,
8,
87,
24
] | 64 | [
"87-82=5",
"8*5=40",
"24+40=64"
] | Current State: 64:[82, 8, 87, 24], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [8, 24, 5]
Generated Node #2: [8, 24, 5] from Operation: 87-82=5
Current State: 64:[8, 24, 5], Operations: ['87-82=5']
Exploring Operation: 8*5=40, Resulting Numbers: [24, 40]
Generated Node #3: [24, 40] from Operation: 8*5=40
Current State: 64:[24, 40], Operations: ['87-82=5', '8*5=40']
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
26,
41,
25,
37
] | 63 | [
"26*37=962",
"41*25=1025",
"1025-962=63"
] | Current State: 63:[26, 41, 25, 37], Operations: []
Exploring Operation: 26*37=962, Resulting Numbers: [41, 25, 962]
Generated Node #2: [41, 25, 962] from Operation: 26*37=962
Current State: 63:[41, 25, 962], Operations: ['26*37=962']
Exploring Operation: 41*25=1025, Resulting Numbers: [962, 1025]
Generated Node #3: [962, 1025] from Operation: 41*25=1025
Current State: 63:[962, 1025], Operations: ['26*37=962', '41*25=1025']
Exploring Operation: 1025-962=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
11,
3,
77,
17
] | 86 | [
"11-3=8",
"77+17=94",
"94-8=86"
] | Current State: 86:[11, 3, 77, 17], Operations: []
Exploring Operation: 11-3=8, Resulting Numbers: [77, 17, 8]
Generated Node #2: [77, 17, 8] from Operation: 11-3=8
Current State: 86:[77, 17, 8], Operations: ['11-3=8']
Exploring Operation: 77+17=94, Resulting Numbers: [8, 94]
Generated Node #3: [8, 94] from Operation: 77+17=94
Current State: 86:[8, 94], Operations: ['11-3=8', '77+17=94']
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
74,
92,
46,
94
] | 83 | [
"94-92=2",
"74/2=37",
"46+37=83"
] | Current State: 83:[74, 92, 46, 94], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [74, 46, 2]
Generated Node #2: [74, 46, 2] from Operation: 94-92=2
Current State: 83:[74, 46, 2], Operations: ['94-92=2']
Exploring Operation: 74/2=37, Resulting Numbers: [46, 37]
Generated Node #3: [46, 37] from Operation: 74/2=37
Current State: 83:[46, 37], Operations: ['94-92=2', '74/2=37']
Exploring Operation: 46+37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
4,
75,
58,
50
] | 93 | [
"4+58=62",
"75*62=4650",
"4650/50=93"
] | Current State: 93:[4, 75, 58, 50], Operations: []
Exploring Operation: 4+58=62, Resulting Numbers: [75, 50, 62]
Generated Node #2: [75, 50, 62] from Operation: 4+58=62
Current State: 93:[75, 50, 62], Operations: ['4+58=62']
Exploring Operation: 75*62=4650, Resulting Numbers: [50, 4650]
Generated Node #3: [50, 4650] from Operation: 75*62=4650
Current State: 93:[50, 4650], Operations: ['4+58=62', '75*62=4650']
Exploring Operation: 4650/50=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
5,
78,
85,
81
] | 79 | [
"5+78=83",
"85-81=4",
"83-4=79"
] | Current State: 79:[5, 78, 85, 81], Operations: []
Exploring Operation: 5+78=83, Resulting Numbers: [85, 81, 83]
Generated Node #2: [85, 81, 83] from Operation: 5+78=83
Current State: 79:[85, 81, 83], Operations: ['5+78=83']
Exploring Operation: 85-81=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 85-81=4
Current State: 79:[83, 4], Operations: ['5+78=83', '85-81=4']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
15,
47,
67,
65
] | 34 | [
"47-15=32",
"67-65=2",
"32+2=34"
] | Current State: 34:[15, 47, 67, 65], Operations: []
Exploring Operation: 47-15=32, Resulting Numbers: [67, 65, 32]
Generated Node #2: [67, 65, 32] from Operation: 47-15=32
Current State: 34:[67, 65, 32], Operations: ['47-15=32']
Exploring Operation: 67-65=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 67-65=2
Current State: 34:[32, 2], Operations: ['47-15=32', '67-65=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
42,
92,
47,
8
] | 45 | [
"92-8=84",
"84/42=2",
"47-2=45"
] | Current State: 45:[42, 92, 47, 8], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [42, 47, 84]
Generated Node #2: [42, 47, 84] from Operation: 92-8=84
Current State: 45:[42, 47, 84], Operations: ['92-8=84']
Exploring Operation: 84/42=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 84/42=2
Current State: 45:[47, 2], Operations: ['92-8=84', '84/42=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
80,
18,
50,
82
] | 10 | [
"18*50=900",
"900-80=820",
"820/82=10"
] | Current State: 10:[80, 18, 50, 82], Operations: []
Exploring Operation: 18*50=900, Resulting Numbers: [80, 82, 900]
Generated Node #2: [80, 82, 900] from Operation: 18*50=900
Current State: 10:[80, 82, 900], Operations: ['18*50=900']
Exploring Operation: 900-80=820, Resulting Numbers: [82, 820]
Generated Node #3: [82, 820] from Operation: 900-80=820
Current State: 10:[82, 820], Operations: ['18*50=900', '900-80=820']
Exploring Operation: 820/82=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
15,
19,
53,
10
] | 13 | [
"19-15=4",
"10*4=40",
"53-40=13"
] | Current State: 13:[15, 19, 53, 10], Operations: []
Exploring Operation: 19-15=4, Resulting Numbers: [53, 10, 4]
Generated Node #2: [53, 10, 4] from Operation: 19-15=4
Current State: 13:[53, 10, 4], Operations: ['19-15=4']
Exploring Operation: 10*4=40, Resulting Numbers: [53, 40]
Generated Node #3: [53, 40] from Operation: 10*4=40
Current State: 13:[53, 40], Operations: ['19-15=4', '10*4=40']
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
54,
23,
5,
31
] | 40 | [
"54+31=85",
"85/5=17",
"23+17=40"
] | Current State: 40:[54, 23, 5, 31], Operations: []
Exploring Operation: 54+31=85, Resulting Numbers: [23, 5, 85]
Generated Node #2: [23, 5, 85] from Operation: 54+31=85
Current State: 40:[23, 5, 85], Operations: ['54+31=85']
Exploring Operation: 85/5=17, Resulting Numbers: [23, 17]
Generated Node #3: [23, 17] from Operation: 85/5=17
Current State: 40:[23, 17], Operations: ['54+31=85', '85/5=17']
Exploring Operation: 23+17=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
46,
63,
71,
40
] | 73 | [
"63-40=23",
"46/23=2",
"71+2=73"
] | Current State: 73:[46, 63, 71, 40], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [46, 71, 23]
Generated Node #2: [46, 71, 23] from Operation: 63-40=23
Current State: 73:[46, 71, 23], Operations: ['63-40=23']
Exploring Operation: 46/23=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 46/23=2
Current State: 73:[71, 2], Operations: ['63-40=23', '46/23=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
99,
74,
78,
42
] | 95 | [
"99-74=25",
"78+42=120",
"120-25=95"
] | Current State: 95:[99, 74, 78, 42], Operations: []
Exploring Operation: 99-74=25, Resulting Numbers: [78, 42, 25]
Generated Node #2: [78, 42, 25] from Operation: 99-74=25
Current State: 95:[78, 42, 25], Operations: ['99-74=25']
Exploring Operation: 78+42=120, Resulting Numbers: [25, 120]
Generated Node #3: [25, 120] from Operation: 78+42=120
Current State: 95:[25, 120], Operations: ['99-74=25', '78+42=120']
Exploring Operation: 120-25=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
57,
2,
27,
18
] | 33 | [
"57+27=84",
"84-18=66",
"66/2=33"
] | Current State: 33:[57, 2, 27, 18], Operations: []
Exploring Operation: 57+27=84, Resulting Numbers: [2, 18, 84]
Generated Node #2: [2, 18, 84] from Operation: 57+27=84
Current State: 33:[2, 18, 84], Operations: ['57+27=84']
Exploring Operation: 84-18=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 84-18=66
Current State: 33:[2, 66], Operations: ['57+27=84', '84-18=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
60,
56,
29,
45
] | 20 | [
"60-56=4",
"45-29=16",
"4+16=20"
] | Current State: 20:[60, 56, 29, 45], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [29, 45, 4]
Generated Node #2: [29, 45, 4] from Operation: 60-56=4
Current State: 20:[29, 45, 4], Operations: ['60-56=4']
Exploring Operation: 45-29=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 45-29=16
Current State: 20:[4, 16], Operations: ['60-56=4', '45-29=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
49,
17,
91,
66
] | 91 | [
"49+17=66",
"91+66=157",
"157-66=91"
] | Current State: 91:[49, 17, 91, 66], Operations: []
Exploring Operation: 49+17=66, Resulting Numbers: [91, 66, 66]
Generated Node #2: [91, 66, 66] from Operation: 49+17=66
Current State: 91:[91, 66, 66], Operations: ['49+17=66']
Exploring Operation: 91+66=157, Resulting Numbers: [157]
157,91 equal: Goal Reached
Exploring Operation: 157-66=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
32,
4,
38
] | 62 | [
"5*38=190",
"32*4=128",
"190-128=62"
] | Current State: 62:[5, 32, 4, 38], Operations: []
Exploring Operation: 5*38=190, Resulting Numbers: [32, 4, 190]
Generated Node #2: [32, 4, 190] from Operation: 5*38=190
Current State: 62:[32, 4, 190], Operations: ['5*38=190']
Exploring Operation: 32*4=128, Resulting Numbers: [190, 128]
Generated Node #3: [190, 128] from Operation: 32*4=128
Current State: 62:[190, 128], Operations: ['5*38=190', '32*4=128']
Exploring Operation: 190-128=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
88,
54,
89,
91
] | 98 | [
"91-89=2",
"88/2=44",
"54+44=98"
] | Current State: 98:[88, 54, 89, 91], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [88, 54, 2]
Generated Node #2: [88, 54, 2] from Operation: 91-89=2
Current State: 98:[88, 54, 2], Operations: ['91-89=2']
Exploring Operation: 88/2=44, Resulting Numbers: [54, 44]
Generated Node #3: [54, 44] from Operation: 88/2=44
Current State: 98:[54, 44], Operations: ['91-89=2', '88/2=44']
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
89,
34,
4,
10
] | 100 | [
"34+10=44",
"44/4=11",
"89+11=100"
] | Current State: 100:[89, 34, 4, 10], Operations: []
Exploring Operation: 34+10=44, Resulting Numbers: [89, 4, 44]
Generated Node #2: [89, 4, 44] from Operation: 34+10=44
Current State: 100:[89, 4, 44], Operations: ['34+10=44']
Exploring Operation: 44/4=11, Resulting Numbers: [89, 11]
Generated Node #3: [89, 11] from Operation: 44/4=11
Current State: 100:[89, 11], Operations: ['34+10=44', '44/4=11']
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
93,
81,
9,
15
] | 11 | [
"93+81=174",
"174-9=165",
"165/15=11"
] | Current State: 11:[93, 81, 9, 15], Operations: []
Exploring Operation: 93+81=174, Resulting Numbers: [9, 15, 174]
Generated Node #2: [9, 15, 174] from Operation: 93+81=174
Current State: 11:[9, 15, 174], Operations: ['93+81=174']
Exploring Operation: 174-9=165, Resulting Numbers: [15, 165]
Generated Node #3: [15, 165] from Operation: 174-9=165
Current State: 11:[15, 165], Operations: ['93+81=174', '174-9=165']
Exploring Operation: 165/15=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
22,
54,
34,
6
] | 11 | [
"54-22=32",
"34+32=66",
"66/6=11"
] | Current State: 11:[22, 54, 34, 6], Operations: []
Exploring Operation: 54-22=32, Resulting Numbers: [34, 6, 32]
Generated Node #2: [34, 6, 32] from Operation: 54-22=32
Current State: 11:[34, 6, 32], Operations: ['54-22=32']
Exploring Operation: 34+32=66, Resulting Numbers: [6, 66]
Generated Node #3: [6, 66] from Operation: 34+32=66
Current State: 11:[6, 66], Operations: ['54-22=32', '34+32=66']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
83,
82,
63,
89
] | 92 | [
"89-82=7",
"63/7=9",
"83+9=92"
] | Current State: 92:[83, 82, 63, 89], Operations: []
Exploring Operation: 89-82=7, Resulting Numbers: [83, 63, 7]
Generated Node #2: [83, 63, 7] from Operation: 89-82=7
Current State: 92:[83, 63, 7], Operations: ['89-82=7']
Exploring Operation: 63/7=9, Resulting Numbers: [83, 9]
Generated Node #3: [83, 9] from Operation: 63/7=9
Current State: 92:[83, 9], Operations: ['89-82=7', '63/7=9']
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
92,
3,
16,
32
] | 92 | [
"32/16=2",
"3-2=1",
"92*1=92"
] | Current State: 92:[92, 3, 16, 32], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [92, 3, 2]
Generated Node #2: [92, 3, 2] from Operation: 32/16=2
Current State: 92:[92, 3, 2], Operations: ['32/16=2']
Exploring Operation: 3-2=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 3-2=1
Current State: 92:[92, 1], Operations: ['32/16=2', '3-2=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
20,
82,
18,
7
] | 34 | [
"20-18=2",
"82/2=41",
"41-7=34"
] | Current State: 34:[20, 82, 18, 7], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [82, 7, 2]
Generated Node #2: [82, 7, 2] from Operation: 20-18=2
Current State: 34:[82, 7, 2], Operations: ['20-18=2']
Exploring Operation: 82/2=41, Resulting Numbers: [7, 41]
Generated Node #3: [7, 41] from Operation: 82/2=41
Current State: 34:[7, 41], Operations: ['20-18=2', '82/2=41']
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
62,
8,
98,
72
] | 100 | [
"62+8=70",
"98+72=170",
"170-70=100"
] | Current State: 100:[62, 8, 98, 72], Operations: []
Exploring Operation: 62+8=70, Resulting Numbers: [98, 72, 70]
Generated Node #2: [98, 72, 70] from Operation: 62+8=70
Current State: 100:[98, 72, 70], Operations: ['62+8=70']
Exploring Operation: 98+72=170, Resulting Numbers: [70, 170]
Generated Node #3: [70, 170] from Operation: 98+72=170
Current State: 100:[70, 170], Operations: ['62+8=70', '98+72=170']
Exploring Operation: 170-70=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
35,
27,
47,
60
] | 22 | [
"47-35=12",
"60/12=5",
"27-5=22"
] | Current State: 22:[35, 27, 47, 60], Operations: []
Exploring Operation: 47-35=12, Resulting Numbers: [27, 60, 12]
Generated Node #2: [27, 60, 12] from Operation: 47-35=12
Current State: 22:[27, 60, 12], Operations: ['47-35=12']
Exploring Operation: 60/12=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 60/12=5
Current State: 22:[27, 5], Operations: ['47-35=12', '60/12=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
19,
88,
44,
6
] | 23 | [
"19+6=25",
"88/44=2",
"25-2=23"
] | Current State: 23:[19, 88, 44, 6], Operations: []
Exploring Operation: 19+6=25, Resulting Numbers: [88, 44, 25]
Generated Node #2: [88, 44, 25] from Operation: 19+6=25
Current State: 23:[88, 44, 25], Operations: ['19+6=25']
Exploring Operation: 88/44=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 88/44=2
Current State: 23:[25, 2], Operations: ['19+6=25', '88/44=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
87,
34,
88,
44
] | 51 | [
"87-34=53",
"88/44=2",
"53-2=51"
] | Current State: 51:[87, 34, 88, 44], Operations: []
Exploring Operation: 87-34=53, Resulting Numbers: [88, 44, 53]
Generated Node #2: [88, 44, 53] from Operation: 87-34=53
Current State: 51:[88, 44, 53], Operations: ['87-34=53']
Exploring Operation: 88/44=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 88/44=2
Current State: 51:[53, 2], Operations: ['87-34=53', '88/44=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
10,
4,
37,
82
] | 79 | [
"10*4=40",
"37+82=119",
"119-40=79"
] | Current State: 79:[10, 4, 37, 82], Operations: []
Exploring Operation: 10*4=40, Resulting Numbers: [37, 82, 40]
Generated Node #2: [37, 82, 40] from Operation: 10*4=40
Current State: 79:[37, 82, 40], Operations: ['10*4=40']
Exploring Operation: 37+82=119, Resulting Numbers: [40, 119]
Generated Node #3: [40, 119] from Operation: 37+82=119
Current State: 79:[40, 119], Operations: ['10*4=40', '37+82=119']
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
90,
2,
76,
59
] | 71 | [
"90-2=88",
"76-59=17",
"88-17=71"
] | Current State: 71:[90, 2, 76, 59], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [76, 59, 88]
Generated Node #2: [76, 59, 88] from Operation: 90-2=88
Current State: 71:[76, 59, 88], Operations: ['90-2=88']
Exploring Operation: 76-59=17, Resulting Numbers: [88, 17]
Generated Node #3: [88, 17] from Operation: 76-59=17
Current State: 71:[88, 17], Operations: ['90-2=88', '76-59=17']
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
34,
4,
13,
82
] | 100 | [
"82-34=48",
"4*13=52",
"48+52=100"
] | Current State: 100:[34, 4, 13, 82], Operations: []
Exploring Operation: 82-34=48, Resulting Numbers: [4, 13, 48]
Generated Node #2: [4, 13, 48] from Operation: 82-34=48
Current State: 100:[4, 13, 48], Operations: ['82-34=48']
Exploring Operation: 4*13=52, Resulting Numbers: [48, 52]
Generated Node #3: [48, 52] from Operation: 4*13=52
Current State: 100:[48, 52], Operations: ['82-34=48', '4*13=52']
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
88,
90,
14,
6
] | 88 | [
"90/6=15",
"15-14=1",
"88*1=88"
] | Current State: 88:[88, 90, 14, 6], Operations: []
Exploring Operation: 90/6=15, Resulting Numbers: [88, 14, 15]
Generated Node #2: [88, 14, 15] from Operation: 90/6=15
Current State: 88:[88, 14, 15], Operations: ['90/6=15']
Exploring Operation: 15-14=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 15-14=1
Current State: 88:[88, 1], Operations: ['90/6=15', '15-14=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
16,
40,
93,
10
] | 97 | [
"16*10=160",
"160/40=4",
"93+4=97"
] | Current State: 97:[16, 40, 93, 10], Operations: []
Exploring Operation: 16*10=160, Resulting Numbers: [40, 93, 160]
Generated Node #2: [40, 93, 160] from Operation: 16*10=160
Current State: 97:[40, 93, 160], Operations: ['16*10=160']
Exploring Operation: 160/40=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 160/40=4
Current State: 97:[93, 4], Operations: ['16*10=160', '160/40=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
60,
21,
36,
72
] | 51 | [
"60*36=2160",
"2160/72=30",
"21+30=51"
] | Current State: 51:[60, 21, 36, 72], Operations: []
Exploring Operation: 60*36=2160, Resulting Numbers: [21, 72, 2160]
Generated Node #2: [21, 72, 2160] from Operation: 60*36=2160
Current State: 51:[21, 72, 2160], Operations: ['60*36=2160']
Exploring Operation: 2160/72=30, Resulting Numbers: [21, 30]
Generated Node #3: [21, 30] from Operation: 2160/72=30
Current State: 51:[21, 30], Operations: ['60*36=2160', '2160/72=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
59,
30,
66,
92
] | 55 | [
"59-30=29",
"92-66=26",
"29+26=55"
] | Current State: 55:[59, 30, 66, 92], Operations: []
Exploring Operation: 59-30=29, Resulting Numbers: [66, 92, 29]
Generated Node #2: [66, 92, 29] from Operation: 59-30=29
Current State: 55:[66, 92, 29], Operations: ['59-30=29']
Exploring Operation: 92-66=26, Resulting Numbers: [29, 26]
Generated Node #3: [29, 26] from Operation: 92-66=26
Current State: 55:[29, 26], Operations: ['59-30=29', '92-66=26']
Exploring Operation: 29+26=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
8,
64,
12,
33
] | 13 | [
"64/8=8",
"33-12=21",
"21-8=13"
] | Current State: 13:[8, 64, 12, 33], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [12, 33, 8]
Generated Node #2: [12, 33, 8] from Operation: 64/8=8
Current State: 13:[12, 33, 8], Operations: ['64/8=8']
Exploring Operation: 33-12=21, Resulting Numbers: [8, 21]
Generated Node #3: [8, 21] from Operation: 33-12=21
Current State: 13:[8, 21], Operations: ['64/8=8', '33-12=21']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
1,
32,
94,
38
] | 99 | [
"1+32=33",
"94+38=132",
"132-33=99"
] | Current State: 99:[1, 32, 94, 38], Operations: []
Exploring Operation: 1+32=33, Resulting Numbers: [94, 38, 33]
Generated Node #2: [94, 38, 33] from Operation: 1+32=33
Current State: 99:[94, 38, 33], Operations: ['1+32=33']
Exploring Operation: 94+38=132, Resulting Numbers: [33, 132]
Generated Node #3: [33, 132] from Operation: 94+38=132
Current State: 99:[33, 132], Operations: ['1+32=33', '94+38=132']
Exploring Operation: 132-33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
3,
14,
9,
35
] | 33 | [
"14-3=11",
"9+35=44",
"44-11=33"
] | Current State: 33:[3, 14, 9, 35], Operations: []
Exploring Operation: 14-3=11, Resulting Numbers: [9, 35, 11]
Generated Node #2: [9, 35, 11] from Operation: 14-3=11
Current State: 33:[9, 35, 11], Operations: ['14-3=11']
Exploring Operation: 9+35=44, Resulting Numbers: [11, 44]
Generated Node #3: [11, 44] from Operation: 9+35=44
Current State: 33:[11, 44], Operations: ['14-3=11', '9+35=44']
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
42,
35,
19,
41
] | 72 | [
"41-35=6",
"19*6=114",
"114-42=72"
] | Current State: 72:[42, 35, 19, 41], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [42, 19, 6]
Generated Node #2: [42, 19, 6] from Operation: 41-35=6
Current State: 72:[42, 19, 6], Operations: ['41-35=6']
Exploring Operation: 19*6=114, Resulting Numbers: [42, 114]
Generated Node #3: [42, 114] from Operation: 19*6=114
Current State: 72:[42, 114], Operations: ['41-35=6', '19*6=114']
Exploring Operation: 114-42=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
79,
19,
11,
40
] | 47 | [
"79+19=98",
"11+40=51",
"98-51=47"
] | Current State: 47:[79, 19, 11, 40], Operations: []
Exploring Operation: 79+19=98, Resulting Numbers: [11, 40, 98]
Generated Node #2: [11, 40, 98] from Operation: 79+19=98
Current State: 47:[11, 40, 98], Operations: ['79+19=98']
Exploring Operation: 11+40=51, Resulting Numbers: [98, 51]
Generated Node #3: [98, 51] from Operation: 11+40=51
Current State: 47:[98, 51], Operations: ['79+19=98', '11+40=51']
Exploring Operation: 98-51=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
19,
36,
81,
26
] | 90 | [
"36-19=17",
"81+26=107",
"107-17=90"
] | Current State: 90:[19, 36, 81, 26], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [81, 26, 17]
Generated Node #2: [81, 26, 17] from Operation: 36-19=17
Current State: 90:[81, 26, 17], Operations: ['36-19=17']
Exploring Operation: 81+26=107, Resulting Numbers: [17, 107]
Generated Node #3: [17, 107] from Operation: 81+26=107
Current State: 90:[17, 107], Operations: ['36-19=17', '81+26=107']
Exploring Operation: 107-17=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
69,
81,
7,
18
] | 37 | [
"81-69=12",
"7+18=25",
"12+25=37"
] | Current State: 37:[69, 81, 7, 18], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [7, 18, 12]
Generated Node #2: [7, 18, 12] from Operation: 81-69=12
Current State: 37:[7, 18, 12], Operations: ['81-69=12']
Exploring Operation: 7+18=25, Resulting Numbers: [12, 25]
Generated Node #3: [12, 25] from Operation: 7+18=25
Current State: 37:[12, 25], Operations: ['81-69=12', '7+18=25']
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
48,
84,
51,
42
] | 75 | [
"48*42=2016",
"2016/84=24",
"51+24=75"
] | Current State: 75:[48, 84, 51, 42], Operations: []
Exploring Operation: 48*42=2016, Resulting Numbers: [84, 51, 2016]
Generated Node #2: [84, 51, 2016] from Operation: 48*42=2016
Current State: 75:[84, 51, 2016], Operations: ['48*42=2016']
Exploring Operation: 2016/84=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 2016/84=24
Current State: 75:[51, 24], Operations: ['48*42=2016', '2016/84=24']
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
75,
85,
30,
33
] | 36 | [
"85-75=10",
"30/10=3",
"33+3=36"
] | Current State: 36:[75, 85, 30, 33], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [30, 33, 10]
Generated Node #2: [30, 33, 10] from Operation: 85-75=10
Current State: 36:[30, 33, 10], Operations: ['85-75=10']
Exploring Operation: 30/10=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 30/10=3
Current State: 36:[33, 3], Operations: ['85-75=10', '30/10=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
49,
14,
26,
12
] | 55 | [
"49*14=686",
"686-26=660",
"660/12=55"
] | Current State: 55:[49, 14, 26, 12], Operations: []
Exploring Operation: 49*14=686, Resulting Numbers: [26, 12, 686]
Generated Node #2: [26, 12, 686] from Operation: 49*14=686
Current State: 55:[26, 12, 686], Operations: ['49*14=686']
Exploring Operation: 686-26=660, Resulting Numbers: [12, 660]
Generated Node #3: [12, 660] from Operation: 686-26=660
Current State: 55:[12, 660], Operations: ['49*14=686', '686-26=660']
Exploring Operation: 660/12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
70,
8,
80,
10
] | 90 | [
"80-70=10",
"8*10=80",
"10+80=90"
] | Current State: 90:[70, 8, 80, 10], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [8, 10, 10]
Generated Node #2: [8, 10, 10] from Operation: 80-70=10
Current State: 90:[8, 10, 10], Operations: ['80-70=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,90 equal: Goal Reached
Exploring Operation: 10+80=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
6,
15,
16,
6
] | 70 | [
"15-6=9",
"6*9=54",
"16+54=70"
] | Current State: 70:[6, 15, 16, 6], Operations: []
Exploring Operation: 15-6=9, Resulting Numbers: [16, 9]
Generated Node #2: [16, 9] from Operation: 15-6=9
Current State: 70:[16, 9], Operations: ['15-6=9']
Exploring Operation: 6*9=54, Resulting Numbers: [16, 54]
Generated Node #3: [16, 54] from Operation: 6*9=54
Current State: 70:[16, 54], Operations: ['15-6=9', '6*9=54']
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
35,
52,
4,
90
] | 69 | [
"52-35=17",
"90-4=86",
"86-17=69"
] | Current State: 69:[35, 52, 4, 90], Operations: []
Exploring Operation: 52-35=17, Resulting Numbers: [4, 90, 17]
Generated Node #2: [4, 90, 17] from Operation: 52-35=17
Current State: 69:[4, 90, 17], Operations: ['52-35=17']
Exploring Operation: 90-4=86, Resulting Numbers: [17, 86]
Generated Node #3: [17, 86] from Operation: 90-4=86
Current State: 69:[17, 86], Operations: ['52-35=17', '90-4=86']
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
54,
44,
20,
43
] | 45 | [
"54-44=10",
"20/10=2",
"43+2=45"
] | Current State: 45:[54, 44, 20, 43], Operations: []
Exploring Operation: 54-44=10, Resulting Numbers: [20, 43, 10]
Generated Node #2: [20, 43, 10] from Operation: 54-44=10
Current State: 45:[20, 43, 10], Operations: ['54-44=10']
Exploring Operation: 20/10=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 20/10=2
Current State: 45:[43, 2], Operations: ['54-44=10', '20/10=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
64,
63,
56,
67
] | 77 | [
"67-64=3",
"63/3=21",
"56+21=77"
] | Current State: 77:[64, 63, 56, 67], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [63, 56, 3]
Generated Node #2: [63, 56, 3] from Operation: 67-64=3
Current State: 77:[63, 56, 3], Operations: ['67-64=3']
Exploring Operation: 63/3=21, Resulting Numbers: [56, 21]
Generated Node #3: [56, 21] from Operation: 63/3=21
Current State: 77:[56, 21], Operations: ['67-64=3', '63/3=21']
Exploring Operation: 56+21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
30,
44,
9,
7
] | 89 | [
"44-30=14",
"7*14=98",
"98-9=89"
] | Current State: 89:[30, 44, 9, 7], Operations: []
Exploring Operation: 44-30=14, Resulting Numbers: [9, 7, 14]
Generated Node #2: [9, 7, 14] from Operation: 44-30=14
Current State: 89:[9, 7, 14], Operations: ['44-30=14']
Exploring Operation: 7*14=98, Resulting Numbers: [9, 98]
Generated Node #3: [9, 98] from Operation: 7*14=98
Current State: 89:[9, 98], Operations: ['44-30=14', '7*14=98']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
11,
6,
13,
54
] | 96 | [
"13-11=2",
"54-6=48",
"2*48=96"
] | Current State: 96:[11, 6, 13, 54], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [6, 54, 2]
Generated Node #2: [6, 54, 2] from Operation: 13-11=2
Current State: 96:[6, 54, 2], Operations: ['13-11=2']
Exploring Operation: 54-6=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 54-6=48
Current State: 96:[2, 48], Operations: ['13-11=2', '54-6=48']
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
63,
75,
57,
30
] | 99 | [
"75-63=12",
"57+30=87",
"12+87=99"
] | Current State: 99:[63, 75, 57, 30], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [57, 30, 12]
Generated Node #2: [57, 30, 12] from Operation: 75-63=12
Current State: 99:[57, 30, 12], Operations: ['75-63=12']
Exploring Operation: 57+30=87, Resulting Numbers: [12, 87]
Generated Node #3: [12, 87] from Operation: 57+30=87
Current State: 99:[12, 87], Operations: ['75-63=12', '57+30=87']
Exploring Operation: 12+87=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
71,
79,
16,
2
] | 83 | [
"71+79=150",
"16+150=166",
"166/2=83"
] | Current State: 83:[71, 79, 16, 2], Operations: []
Exploring Operation: 71+79=150, Resulting Numbers: [16, 2, 150]
Generated Node #2: [16, 2, 150] from Operation: 71+79=150
Current State: 83:[16, 2, 150], Operations: ['71+79=150']
Exploring Operation: 16+150=166, Resulting Numbers: [2, 166]
Generated Node #3: [2, 166] from Operation: 16+150=166
Current State: 83:[2, 166], Operations: ['71+79=150', '16+150=166']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
10,
31,
87,
86
] | 22 | [
"31-10=21",
"87-86=1",
"21+1=22"
] | Current State: 22:[10, 31, 87, 86], Operations: []
Exploring Operation: 31-10=21, Resulting Numbers: [87, 86, 21]
Generated Node #2: [87, 86, 21] from Operation: 31-10=21
Current State: 22:[87, 86, 21], Operations: ['31-10=21']
Exploring Operation: 87-86=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 87-86=1
Current State: 22:[21, 1], Operations: ['31-10=21', '87-86=1']
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
72,
27,
60,
11
] | 75 | [
"60-27=33",
"33/11=3",
"72+3=75"
] | Current State: 75:[72, 27, 60, 11], Operations: []
Exploring Operation: 60-27=33, Resulting Numbers: [72, 11, 33]
Generated Node #2: [72, 11, 33] from Operation: 60-27=33
Current State: 75:[72, 11, 33], Operations: ['60-27=33']
Exploring Operation: 33/11=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 33/11=3
Current State: 75:[72, 3], Operations: ['60-27=33', '33/11=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
16,
31,
29,
50
] | 58 | [
"31-29=2",
"16/2=8",
"50+8=58"
] | Current State: 58:[16, 31, 29, 50], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [16, 50, 2]
Generated Node #2: [16, 50, 2] from Operation: 31-29=2
Current State: 58:[16, 50, 2], Operations: ['31-29=2']
Exploring Operation: 16/2=8, Resulting Numbers: [50, 8]
Generated Node #3: [50, 8] from Operation: 16/2=8
Current State: 58:[50, 8], Operations: ['31-29=2', '16/2=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
13,
8,
12,
36
] | 60 | [
"13*36=468",
"12+468=480",
"480/8=60"
] | Current State: 60:[13, 8, 12, 36], Operations: []
Exploring Operation: 13*36=468, Resulting Numbers: [8, 12, 468]
Generated Node #2: [8, 12, 468] from Operation: 13*36=468
Current State: 60:[8, 12, 468], Operations: ['13*36=468']
Exploring Operation: 12+468=480, Resulting Numbers: [8, 480]
Generated Node #3: [8, 480] from Operation: 12+468=480
Current State: 60:[8, 480], Operations: ['13*36=468', '12+468=480']
Exploring Operation: 480/8=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
81,
32,
67,
3
] | 10 | [
"81-67=14",
"3*14=42",
"42-32=10"
] | Current State: 10:[81, 32, 67, 3], Operations: []
Exploring Operation: 81-67=14, Resulting Numbers: [32, 3, 14]
Generated Node #2: [32, 3, 14] from Operation: 81-67=14
Current State: 10:[32, 3, 14], Operations: ['81-67=14']
Exploring Operation: 3*14=42, Resulting Numbers: [32, 42]
Generated Node #3: [32, 42] from Operation: 3*14=42
Current State: 10:[32, 42], Operations: ['81-67=14', '3*14=42']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
17,
70,
84,
31
] | 62 | [
"70-17=53",
"84+31=115",
"115-53=62"
] | Current State: 62:[17, 70, 84, 31], Operations: []
Exploring Operation: 70-17=53, Resulting Numbers: [84, 31, 53]
Generated Node #2: [84, 31, 53] from Operation: 70-17=53
Current State: 62:[84, 31, 53], Operations: ['70-17=53']
Exploring Operation: 84+31=115, Resulting Numbers: [53, 115]
Generated Node #3: [53, 115] from Operation: 84+31=115
Current State: 62:[53, 115], Operations: ['70-17=53', '84+31=115']
Exploring Operation: 115-53=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
4,
9,
16,
51
] | 15 | [
"16/4=4",
"9+51=60",
"60/4=15"
] | Current State: 15:[4, 9, 16, 51], Operations: []
Exploring Operation: 16/4=4, Resulting Numbers: [9, 51, 4]
Generated Node #2: [9, 51, 4] from Operation: 16/4=4
Current State: 15:[9, 51, 4], Operations: ['16/4=4']
Exploring Operation: 9+51=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 9+51=60
Current State: 15:[4, 60], Operations: ['16/4=4', '9+51=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
68,
86,
2,
71
] | 51 | [
"86-68=18",
"71-2=69",
"69-18=51"
] | Current State: 51:[68, 86, 2, 71], Operations: []
Exploring Operation: 86-68=18, Resulting Numbers: [2, 71, 18]
Generated Node #2: [2, 71, 18] from Operation: 86-68=18
Current State: 51:[2, 71, 18], Operations: ['86-68=18']
Exploring Operation: 71-2=69, Resulting Numbers: [18, 69]
Generated Node #3: [18, 69] from Operation: 71-2=69
Current State: 51:[18, 69], Operations: ['86-68=18', '71-2=69']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
90,
34,
92,
85
] | 56 | [
"90*34=3060",
"3060/85=36",
"92-36=56"
] | Current State: 56:[90, 34, 92, 85], Operations: []
Exploring Operation: 90*34=3060, Resulting Numbers: [92, 85, 3060]
Generated Node #2: [92, 85, 3060] from Operation: 90*34=3060
Current State: 56:[92, 85, 3060], Operations: ['90*34=3060']
Exploring Operation: 3060/85=36, Resulting Numbers: [92, 36]
Generated Node #3: [92, 36] from Operation: 3060/85=36
Current State: 56:[92, 36], Operations: ['90*34=3060', '3060/85=36']
Exploring Operation: 92-36=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
50,
75,
2,
98
] | 51 | [
"98-50=48",
"48/2=24",
"75-24=51"
] | Current State: 51:[50, 75, 2, 98], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [75, 2, 48]
Generated Node #2: [75, 2, 48] from Operation: 98-50=48
Current State: 51:[75, 2, 48], Operations: ['98-50=48']
Exploring Operation: 48/2=24, Resulting Numbers: [75, 24]
Generated Node #3: [75, 24] from Operation: 48/2=24
Current State: 51:[75, 24], Operations: ['98-50=48', '48/2=24']
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
58,
67,
87,
53
] | 21 | [
"67-53=14",
"87*14=1218",
"1218/58=21"
] | Current State: 21:[58, 67, 87, 53], Operations: []
Exploring Operation: 67-53=14, Resulting Numbers: [58, 87, 14]
Generated Node #2: [58, 87, 14] from Operation: 67-53=14
Current State: 21:[58, 87, 14], Operations: ['67-53=14']
Exploring Operation: 87*14=1218, Resulting Numbers: [58, 1218]
Generated Node #3: [58, 1218] from Operation: 87*14=1218
Current State: 21:[58, 1218], Operations: ['67-53=14', '87*14=1218']
Exploring Operation: 1218/58=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
5,
18,
57,
3
] | 60 | [
"5*3=15",
"18+57=75",
"75-15=60"
] | Current State: 60:[5, 18, 57, 3], Operations: []
Exploring Operation: 5*3=15, Resulting Numbers: [18, 57, 15]
Generated Node #2: [18, 57, 15] from Operation: 5*3=15
Current State: 60:[18, 57, 15], Operations: ['5*3=15']
Exploring Operation: 18+57=75, Resulting Numbers: [15, 75]
Generated Node #3: [15, 75] from Operation: 18+57=75
Current State: 60:[15, 75], Operations: ['5*3=15', '18+57=75']
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
18,
64,
63,
71
] | 11 | [
"64+63=127",
"71+127=198",
"198/18=11"
] | Current State: 11:[18, 64, 63, 71], Operations: []
Exploring Operation: 64+63=127, Resulting Numbers: [18, 71, 127]
Generated Node #2: [18, 71, 127] from Operation: 64+63=127
Current State: 11:[18, 71, 127], Operations: ['64+63=127']
Exploring Operation: 71+127=198, Resulting Numbers: [18, 198]
Generated Node #3: [18, 198] from Operation: 71+127=198
Current State: 11:[18, 198], Operations: ['64+63=127', '71+127=198']
Exploring Operation: 198/18=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
27,
11,
90,
40
] | 88 | [
"27+11=38",
"90-40=50",
"38+50=88"
] | Current State: 88:[27, 11, 90, 40], Operations: []
Exploring Operation: 27+11=38, Resulting Numbers: [90, 40, 38]
Generated Node #2: [90, 40, 38] from Operation: 27+11=38
Current State: 88:[90, 40, 38], Operations: ['27+11=38']
Exploring Operation: 90-40=50, Resulting Numbers: [38, 50]
Generated Node #3: [38, 50] from Operation: 90-40=50
Current State: 88:[38, 50], Operations: ['27+11=38', '90-40=50']
Exploring Operation: 38+50=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
15,
37,
42,
90
] | 30 | [
"15*42=630",
"630/90=7",
"37-7=30"
] | Current State: 30:[15, 37, 42, 90], Operations: []
Exploring Operation: 15*42=630, Resulting Numbers: [37, 90, 630]
Generated Node #2: [37, 90, 630] from Operation: 15*42=630
Current State: 30:[37, 90, 630], Operations: ['15*42=630']
Exploring Operation: 630/90=7, Resulting Numbers: [37, 7]
Generated Node #3: [37, 7] from Operation: 630/90=7
Current State: 30:[37, 7], Operations: ['15*42=630', '630/90=7']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
35,
12,
56,
97
] | 88 | [
"35+12=47",
"97-56=41",
"47+41=88"
] | Current State: 88:[35, 12, 56, 97], Operations: []
Exploring Operation: 35+12=47, Resulting Numbers: [56, 97, 47]
Generated Node #2: [56, 97, 47] from Operation: 35+12=47
Current State: 88:[56, 97, 47], Operations: ['35+12=47']
Exploring Operation: 97-56=41, Resulting Numbers: [47, 41]
Generated Node #3: [47, 41] from Operation: 97-56=41
Current State: 88:[47, 41], Operations: ['35+12=47', '97-56=41']
Exploring Operation: 47+41=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
28,
54,
36,
2
] | 32 | [
"28/2=14",
"54-36=18",
"14+18=32"
] | Current State: 32:[28, 54, 36, 2], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [54, 36, 14]
Generated Node #2: [54, 36, 14] from Operation: 28/2=14
Current State: 32:[54, 36, 14], Operations: ['28/2=14']
Exploring Operation: 54-36=18, Resulting Numbers: [14, 18]
Generated Node #3: [14, 18] from Operation: 54-36=18
Current State: 32:[14, 18], Operations: ['28/2=14', '54-36=18']
Exploring Operation: 14+18=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
24,
36,
77,
98
] | 39 | [
"24+36=60",
"98-77=21",
"60-21=39"
] | Current State: 39:[24, 36, 77, 98], Operations: []
Exploring Operation: 24+36=60, Resulting Numbers: [77, 98, 60]
Generated Node #2: [77, 98, 60] from Operation: 24+36=60
Current State: 39:[77, 98, 60], Operations: ['24+36=60']
Exploring Operation: 98-77=21, Resulting Numbers: [60, 21]
Generated Node #3: [60, 21] from Operation: 98-77=21
Current State: 39:[60, 21], Operations: ['24+36=60', '98-77=21']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
24,
64,
54,
61
] | 83 | [
"64*54=3456",
"3456/24=144",
"144-61=83"
] | Current State: 83:[24, 64, 54, 61], Operations: []
Exploring Operation: 64*54=3456, Resulting Numbers: [24, 61, 3456]
Generated Node #2: [24, 61, 3456] from Operation: 64*54=3456
Current State: 83:[24, 61, 3456], Operations: ['64*54=3456']
Exploring Operation: 3456/24=144, Resulting Numbers: [61, 144]
Generated Node #3: [61, 144] from Operation: 3456/24=144
Current State: 83:[61, 144], Operations: ['64*54=3456', '3456/24=144']
Exploring Operation: 144-61=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
6,
3,
61,
25
] | 92 | [
"6*25=150",
"61-3=58",
"150-58=92"
] | Current State: 92:[6, 3, 61, 25], Operations: []
Exploring Operation: 6*25=150, Resulting Numbers: [3, 61, 150]
Generated Node #2: [3, 61, 150] from Operation: 6*25=150
Current State: 92:[3, 61, 150], Operations: ['6*25=150']
Exploring Operation: 61-3=58, Resulting Numbers: [150, 58]
Generated Node #3: [150, 58] from Operation: 61-3=58
Current State: 92:[150, 58], Operations: ['6*25=150', '61-3=58']
Exploring Operation: 150-58=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
29,
25,
40,
37
] | 18 | [
"29+25=54",
"40-37=3",
"54/3=18"
] | Current State: 18:[29, 25, 40, 37], Operations: []
Exploring Operation: 29+25=54, Resulting Numbers: [40, 37, 54]
Generated Node #2: [40, 37, 54] from Operation: 29+25=54
Current State: 18:[40, 37, 54], Operations: ['29+25=54']
Exploring Operation: 40-37=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 40-37=3
Current State: 18:[54, 3], Operations: ['29+25=54', '40-37=3']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
52,
80,
61,
5
] | 38 | [
"80-52=28",
"61+5=66",
"66-28=38"
] | Current State: 38:[52, 80, 61, 5], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [61, 5, 28]
Generated Node #2: [61, 5, 28] from Operation: 80-52=28
Current State: 38:[61, 5, 28], Operations: ['80-52=28']
Exploring Operation: 61+5=66, Resulting Numbers: [28, 66]
Generated Node #3: [28, 66] from Operation: 61+5=66
Current State: 38:[28, 66], Operations: ['80-52=28', '61+5=66']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
11,
85,
85,
19
] | 30 | [
"11+85=96",
"85-19=66",
"96-66=30"
] | Current State: 30:[11, 85, 85, 19], Operations: []
Exploring Operation: 11+85=96, Resulting Numbers: [19, 96]
Generated Node #2: [19, 96] from Operation: 11+85=96
Current State: 30:[19, 96], Operations: ['11+85=96']
Exploring Operation: 85-19=66, Resulting Numbers: [96, 66]
Generated Node #3: [96, 66] from Operation: 85-19=66
Current State: 30:[96, 66], Operations: ['11+85=96', '85-19=66']
Exploring Operation: 96-66=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
95,
9,
21,
14
] | 52 | [
"95-21=74",
"9*14=126",
"126-74=52"
] | Current State: 52:[95, 9, 21, 14], Operations: []
Exploring Operation: 95-21=74, Resulting Numbers: [9, 14, 74]
Generated Node #2: [9, 14, 74] from Operation: 95-21=74
Current State: 52:[9, 14, 74], Operations: ['95-21=74']
Exploring Operation: 9*14=126, Resulting Numbers: [74, 126]
Generated Node #3: [74, 126] from Operation: 9*14=126
Current State: 52:[74, 126], Operations: ['95-21=74', '9*14=126']
Exploring Operation: 126-74=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
31,
72,
1,
56
] | 96 | [
"72-31=41",
"56-1=55",
"41+55=96"
] | Current State: 96:[31, 72, 1, 56], Operations: []
Exploring Operation: 72-31=41, Resulting Numbers: [1, 56, 41]
Generated Node #2: [1, 56, 41] from Operation: 72-31=41
Current State: 96:[1, 56, 41], Operations: ['72-31=41']
Exploring Operation: 56-1=55, Resulting Numbers: [41, 55]
Generated Node #3: [41, 55] from Operation: 56-1=55
Current State: 96:[41, 55], Operations: ['72-31=41', '56-1=55']
Exploring Operation: 41+55=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
17,
1,
18,
5
] | 55 | [
"5-1=4",
"18*4=72",
"72-17=55"
] | Current State: 55:[17, 1, 18, 5], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [17, 18, 4]
Generated Node #2: [17, 18, 4] from Operation: 5-1=4
Current State: 55:[17, 18, 4], Operations: ['5-1=4']
Exploring Operation: 18*4=72, Resulting Numbers: [17, 72]
Generated Node #3: [17, 72] from Operation: 18*4=72
Current State: 55:[17, 72], Operations: ['5-1=4', '18*4=72']
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
5,
37,
86,
95
] | 41 | [
"37-5=32",
"95-86=9",
"32+9=41"
] | Current State: 41:[5, 37, 86, 95], Operations: []
Exploring Operation: 37-5=32, Resulting Numbers: [86, 95, 32]
Generated Node #2: [86, 95, 32] from Operation: 37-5=32
Current State: 41:[86, 95, 32], Operations: ['37-5=32']
Exploring Operation: 95-86=9, Resulting Numbers: [32, 9]
Generated Node #3: [32, 9] from Operation: 95-86=9
Current State: 41:[32, 9], Operations: ['37-5=32', '95-86=9']
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
32,
96,
4,
56
] | 16 | [
"56-32=24",
"96*4=384",
"384/24=16"
] | Current State: 16:[32, 96, 4, 56], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [96, 4, 24]
Generated Node #2: [96, 4, 24] from Operation: 56-32=24
Current State: 16:[96, 4, 24], Operations: ['56-32=24']
Exploring Operation: 96*4=384, Resulting Numbers: [24, 384]
Generated Node #3: [24, 384] from Operation: 96*4=384
Current State: 16:[24, 384], Operations: ['56-32=24', '96*4=384']
Exploring Operation: 384/24=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
17,
11,
19,
30
] | 52 | [
"19-17=2",
"11*2=22",
"30+22=52"
] | Current State: 52:[17, 11, 19, 30], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [11, 30, 2]
Generated Node #2: [11, 30, 2] from Operation: 19-17=2
Current State: 52:[11, 30, 2], Operations: ['19-17=2']
Exploring Operation: 11*2=22, Resulting Numbers: [30, 22]
Generated Node #3: [30, 22] from Operation: 11*2=22
Current State: 52:[30, 22], Operations: ['19-17=2', '11*2=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
10,
55,
31,
17
] | 77 | [
"31-17=14",
"55*14=770",
"770/10=77"
] | Current State: 77:[10, 55, 31, 17], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [10, 55, 14]
Generated Node #2: [10, 55, 14] from Operation: 31-17=14
Current State: 77:[10, 55, 14], Operations: ['31-17=14']
Exploring Operation: 55*14=770, Resulting Numbers: [10, 770]
Generated Node #3: [10, 770] from Operation: 55*14=770
Current State: 77:[10, 770], Operations: ['31-17=14', '55*14=770']
Exploring Operation: 770/10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
1,
15,
34
] | 56 | [
"34-15=19",
"3*19=57",
"57-1=56"
] | Current State: 56:[3, 1, 15, 34], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [3, 1, 19]
Generated Node #2: [3, 1, 19] from Operation: 34-15=19
Current State: 56:[3, 1, 19], Operations: ['34-15=19']
Exploring Operation: 3*19=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 3*19=57
Current State: 56:[1, 57], Operations: ['34-15=19', '3*19=57']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
91,
35,
63,
25
] | 46 | [
"63*25=1575",
"1575/35=45",
"91-45=46"
] | Current State: 46:[91, 35, 63, 25], Operations: []
Exploring Operation: 63*25=1575, Resulting Numbers: [91, 35, 1575]
Generated Node #2: [91, 35, 1575] from Operation: 63*25=1575
Current State: 46:[91, 35, 1575], Operations: ['63*25=1575']
Exploring Operation: 1575/35=45, Resulting Numbers: [91, 45]
Generated Node #3: [91, 45] from Operation: 1575/35=45
Current State: 46:[91, 45], Operations: ['63*25=1575', '1575/35=45']
Exploring Operation: 91-45=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
40,
70,
61,
14
] | 45 | [
"70-40=30",
"61+14=75",
"75-30=45"
] | Current State: 45:[40, 70, 61, 14], Operations: []
Exploring Operation: 70-40=30, Resulting Numbers: [61, 14, 30]
Generated Node #2: [61, 14, 30] from Operation: 70-40=30
Current State: 45:[61, 14, 30], Operations: ['70-40=30']
Exploring Operation: 61+14=75, Resulting Numbers: [30, 75]
Generated Node #3: [30, 75] from Operation: 61+14=75
Current State: 45:[30, 75], Operations: ['70-40=30', '61+14=75']
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
22,
66,
42,
32
] | 46 | [
"66/22=3",
"42/3=14",
"32+14=46"
] | Current State: 46:[22, 66, 42, 32], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [42, 32, 3]
Generated Node #2: [42, 32, 3] from Operation: 66/22=3
Current State: 46:[42, 32, 3], Operations: ['66/22=3']
Exploring Operation: 42/3=14, Resulting Numbers: [32, 14]
Generated Node #3: [32, 14] from Operation: 42/3=14
Current State: 46:[32, 14], Operations: ['66/22=3', '42/3=14']
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
89,
5,
75,
48
] | 67 | [
"89+5=94",
"75-48=27",
"94-27=67"
] | Current State: 67:[89, 5, 75, 48], Operations: []
Exploring Operation: 89+5=94, Resulting Numbers: [75, 48, 94]
Generated Node #2: [75, 48, 94] from Operation: 89+5=94
Current State: 67:[75, 48, 94], Operations: ['89+5=94']
Exploring Operation: 75-48=27, Resulting Numbers: [94, 27]
Generated Node #3: [94, 27] from Operation: 75-48=27
Current State: 67:[94, 27], Operations: ['89+5=94', '75-48=27']
Exploring Operation: 94-27=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
50,
36,
33,
11
] | 13 | [
"50-11=39",
"36-33=3",
"39/3=13"
] | Current State: 13:[50, 36, 33, 11], Operations: []
Exploring Operation: 50-11=39, Resulting Numbers: [36, 33, 39]
Generated Node #2: [36, 33, 39] from Operation: 50-11=39
Current State: 13:[36, 33, 39], Operations: ['50-11=39']
Exploring Operation: 36-33=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 36-33=3
Current State: 13:[39, 3], Operations: ['50-11=39', '36-33=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
88,
10,
68,
34
] | 54 | [
"88*34=2992",
"2992/68=44",
"10+44=54"
] | Current State: 54:[88, 10, 68, 34], Operations: []
Exploring Operation: 88*34=2992, Resulting Numbers: [10, 68, 2992]
Generated Node #2: [10, 68, 2992] from Operation: 88*34=2992
Current State: 54:[10, 68, 2992], Operations: ['88*34=2992']
Exploring Operation: 2992/68=44, Resulting Numbers: [10, 44]
Generated Node #3: [10, 44] from Operation: 2992/68=44
Current State: 54:[10, 44], Operations: ['88*34=2992', '2992/68=44']
Exploring Operation: 10+44=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
58,
31,
57,
46
] | 77 | [
"58-57=1",
"31+46=77",
"1*77=77"
] | Current State: 77:[58, 31, 57, 46], Operations: []
Exploring Operation: 58-57=1, Resulting Numbers: [31, 46, 1]
Generated Node #2: [31, 46, 1] from Operation: 58-57=1
Current State: 77:[31, 46, 1], Operations: ['58-57=1']
Exploring Operation: 31+46=77, Resulting Numbers: [1, 77]
Generated Node #3: [1, 77] from Operation: 31+46=77
Current State: 77:[1, 77], Operations: ['58-57=1', '31+46=77']
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
8,
48,
42
] | 78 | [
"2*42=84",
"48/8=6",
"84-6=78"
] | Current State: 78:[2, 8, 48, 42], Operations: []
Exploring Operation: 2*42=84, Resulting Numbers: [8, 48, 84]
Generated Node #2: [8, 48, 84] from Operation: 2*42=84
Current State: 78:[8, 48, 84], Operations: ['2*42=84']
Exploring Operation: 48/8=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 48/8=6
Current State: 78:[84, 6], Operations: ['2*42=84', '48/8=6']
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
79,
24,
13,
46
] | 77 | [
"79*13=1027",
"24*46=1104",
"1104-1027=77"
] | Current State: 77:[79, 24, 13, 46], Operations: []
Exploring Operation: 79*13=1027, Resulting Numbers: [24, 46, 1027]
Generated Node #2: [24, 46, 1027] from Operation: 79*13=1027
Current State: 77:[24, 46, 1027], Operations: ['79*13=1027']
Exploring Operation: 24*46=1104, Resulting Numbers: [1027, 1104]
Generated Node #3: [1027, 1104] from Operation: 24*46=1104
Current State: 77:[1027, 1104], Operations: ['79*13=1027', '24*46=1104']
Exploring Operation: 1104-1027=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
77,
55,
33,
96
] | 59 | [
"33*96=3168",
"77+3168=3245",
"3245/55=59"
] | Current State: 59:[77, 55, 33, 96], Operations: []
Exploring Operation: 33*96=3168, Resulting Numbers: [77, 55, 3168]
Generated Node #2: [77, 55, 3168] from Operation: 33*96=3168
Current State: 59:[77, 55, 3168], Operations: ['33*96=3168']
Exploring Operation: 77+3168=3245, Resulting Numbers: [55, 3245]
Generated Node #3: [55, 3245] from Operation: 77+3168=3245
Current State: 59:[55, 3245], Operations: ['33*96=3168', '77+3168=3245']
Exploring Operation: 3245/55=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
38,
53,
44,
12
] | 41 | [
"53-38=15",
"44+12=56",
"56-15=41"
] | Current State: 41:[38, 53, 44, 12], Operations: []
Exploring Operation: 53-38=15, Resulting Numbers: [44, 12, 15]
Generated Node #2: [44, 12, 15] from Operation: 53-38=15
Current State: 41:[44, 12, 15], Operations: ['53-38=15']
Exploring Operation: 44+12=56, Resulting Numbers: [15, 56]
Generated Node #3: [15, 56] from Operation: 44+12=56
Current State: 41:[15, 56], Operations: ['53-38=15', '44+12=56']
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
99,
43,
3,
70
] | 80 | [
"99/3=33",
"43+70=113",
"113-33=80"
] | Current State: 80:[99, 43, 3, 70], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [43, 70, 33]
Generated Node #2: [43, 70, 33] from Operation: 99/3=33
Current State: 80:[43, 70, 33], Operations: ['99/3=33']
Exploring Operation: 43+70=113, Resulting Numbers: [33, 113]
Generated Node #3: [33, 113] from Operation: 43+70=113
Current State: 80:[33, 113], Operations: ['99/3=33', '43+70=113']
Exploring Operation: 113-33=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
99,
54,
35
] | 59 | [
"49+99=148",
"54+35=89",
"148-89=59"
] | Current State: 59:[49, 99, 54, 35], Operations: []
Exploring Operation: 49+99=148, Resulting Numbers: [54, 35, 148]
Generated Node #2: [54, 35, 148] from Operation: 49+99=148
Current State: 59:[54, 35, 148], Operations: ['49+99=148']
Exploring Operation: 54+35=89, Resulting Numbers: [148, 89]
Generated Node #3: [148, 89] from Operation: 54+35=89
Current State: 59:[148, 89], Operations: ['49+99=148', '54+35=89']
Exploring Operation: 148-89=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
29,
44,
3,
5
] | 86 | [
"29-3=26",
"5*26=130",
"130-44=86"
] | Current State: 86:[29, 44, 3, 5], Operations: []
Exploring Operation: 29-3=26, Resulting Numbers: [44, 5, 26]
Generated Node #2: [44, 5, 26] from Operation: 29-3=26
Current State: 86:[44, 5, 26], Operations: ['29-3=26']
Exploring Operation: 5*26=130, Resulting Numbers: [44, 130]
Generated Node #3: [44, 130] from Operation: 5*26=130
Current State: 86:[44, 130], Operations: ['29-3=26', '5*26=130']
Exploring Operation: 130-44=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
20,
72,
4,
81
] | 84 | [
"20+4=24",
"72/24=3",
"81+3=84"
] | Current State: 84:[20, 72, 4, 81], Operations: []
Exploring Operation: 20+4=24, Resulting Numbers: [72, 81, 24]
Generated Node #2: [72, 81, 24] from Operation: 20+4=24
Current State: 84:[72, 81, 24], Operations: ['20+4=24']
Exploring Operation: 72/24=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 72/24=3
Current State: 84:[81, 3], Operations: ['20+4=24', '72/24=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
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