nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
28,
30,
96,
21
] | 54 | [
"30-28=2",
"21*2=42",
"96-42=54"
] | Current State: 54:[28, 30, 96, 21], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [96, 21, 2]
Generated Node #2: [96, 21, 2] from Operation: 30-28=2
Current State: 54:[96, 21, 2], Operations: ['30-28=2']
Exploring Operation: 21*2=42, Resulting Numbers: [96, 42]
Generated Node #3: [96, 42] from Operation: 21*2=42
Current State: 54:[96, 42], Operations: ['30-28=2', '21*2=42']
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
83,
17,
2,
86
] | 12 | [
"83+17=100",
"2+86=88",
"100-88=12"
] | Current State: 12:[83, 17, 2, 86], Operations: []
Exploring Operation: 83+17=100, Resulting Numbers: [2, 86, 100]
Generated Node #2: [2, 86, 100] from Operation: 83+17=100
Current State: 12:[2, 86, 100], Operations: ['83+17=100']
Exploring Operation: 2+86=88, Resulting Numbers: [100, 88]
Generated Node #3: [100, 88] from Operation: 2+86=88
Current State: 12:[100, 88], Operations: ['83+17=100', '2+86=88']
Exploring Operation: 100-88=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
75,
6,
67,
99
] | 49 | [
"75+6=81",
"99-67=32",
"81-32=49"
] | Current State: 49:[75, 6, 67, 99], Operations: []
Exploring Operation: 75+6=81, Resulting Numbers: [67, 99, 81]
Generated Node #2: [67, 99, 81] from Operation: 75+6=81
Current State: 49:[67, 99, 81], Operations: ['75+6=81']
Exploring Operation: 99-67=32, Resulting Numbers: [81, 32]
Generated Node #3: [81, 32] from Operation: 99-67=32
Current State: 49:[81, 32], Operations: ['75+6=81', '99-67=32']
Exploring Operation: 81-32=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
60,
9,
10,
17
] | 48 | [
"60/10=6",
"17-9=8",
"6*8=48"
] | Current State: 48:[60, 9, 10, 17], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [9, 17, 6]
Generated Node #2: [9, 17, 6] from Operation: 60/10=6
Current State: 48:[9, 17, 6], Operations: ['60/10=6']
Exploring Operation: 17-9=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 17-9=8
Current State: 48:[6, 8], Operations: ['60/10=6', '17-9=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
54,
60,
24,
91
] | 70 | [
"54+24=78",
"60*91=5460",
"5460/78=70"
] | Current State: 70:[54, 60, 24, 91], Operations: []
Exploring Operation: 54+24=78, Resulting Numbers: [60, 91, 78]
Generated Node #2: [60, 91, 78] from Operation: 54+24=78
Current State: 70:[60, 91, 78], Operations: ['54+24=78']
Exploring Operation: 60*91=5460, Resulting Numbers: [78, 5460]
Generated Node #3: [78, 5460] from Operation: 60*91=5460
Current State: 70:[78, 5460], Operations: ['54+24=78', '60*91=5460']
Exploring Operation: 5460/78=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
15,
20,
4,
1
] | 65 | [
"15*1=15",
"20*4=80",
"80-15=65"
] | Current State: 65:[15, 20, 4, 1], Operations: []
Exploring Operation: 15*1=15, Resulting Numbers: [20, 4, 15]
Generated Node #2: [20, 4, 15] from Operation: 15*1=15
Current State: 65:[20, 4, 15], Operations: ['15*1=15']
Exploring Operation: 20*4=80, Resulting Numbers: [15, 80]
Generated Node #3: [15, 80] from Operation: 20*4=80
Current State: 65:[15, 80], Operations: ['15*1=15', '20*4=80']
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
2,
82,
35,
25
] | 38 | [
"35+25=60",
"2*60=120",
"120-82=38"
] | Current State: 38:[2, 82, 35, 25], Operations: []
Exploring Operation: 35+25=60, Resulting Numbers: [2, 82, 60]
Generated Node #2: [2, 82, 60] from Operation: 35+25=60
Current State: 38:[2, 82, 60], Operations: ['35+25=60']
Exploring Operation: 2*60=120, Resulting Numbers: [82, 120]
Generated Node #3: [82, 120] from Operation: 2*60=120
Current State: 38:[82, 120], Operations: ['35+25=60', '2*60=120']
Exploring Operation: 120-82=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
38,
40,
13,
63
] | 25 | [
"40-38=2",
"63-13=50",
"50/2=25"
] | Current State: 25:[38, 40, 13, 63], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [13, 63, 2]
Generated Node #2: [13, 63, 2] from Operation: 40-38=2
Current State: 25:[13, 63, 2], Operations: ['40-38=2']
Exploring Operation: 63-13=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 63-13=50
Current State: 25:[2, 50], Operations: ['40-38=2', '63-13=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
97,
43,
73,
3
] | 79 | [
"97+43=140",
"73*3=219",
"219-140=79"
] | Current State: 79:[97, 43, 73, 3], Operations: []
Exploring Operation: 97+43=140, Resulting Numbers: [73, 3, 140]
Generated Node #2: [73, 3, 140] from Operation: 97+43=140
Current State: 79:[73, 3, 140], Operations: ['97+43=140']
Exploring Operation: 73*3=219, Resulting Numbers: [140, 219]
Generated Node #3: [140, 219] from Operation: 73*3=219
Current State: 79:[140, 219], Operations: ['97+43=140', '73*3=219']
Exploring Operation: 219-140=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
18,
17,
16,
24
] | 79 | [
"24-18=6",
"16*6=96",
"96-17=79"
] | Current State: 79:[18, 17, 16, 24], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [17, 16, 6]
Generated Node #2: [17, 16, 6] from Operation: 24-18=6
Current State: 79:[17, 16, 6], Operations: ['24-18=6']
Exploring Operation: 16*6=96, Resulting Numbers: [17, 96]
Generated Node #3: [17, 96] from Operation: 16*6=96
Current State: 79:[17, 96], Operations: ['24-18=6', '16*6=96']
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
82,
54,
81,
91
] | 63 | [
"91-82=9",
"81/9=9",
"54+9=63"
] | Current State: 63:[82, 54, 81, 91], Operations: []
Exploring Operation: 91-82=9, Resulting Numbers: [54, 81, 9]
Generated Node #2: [54, 81, 9] from Operation: 91-82=9
Current State: 63:[54, 81, 9], Operations: ['91-82=9']
Exploring Operation: 81/9=9, Resulting Numbers: [54, 9]
Generated Node #3: [54, 9] from Operation: 81/9=9
Current State: 63:[54, 9], Operations: ['91-82=9', '81/9=9']
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
54,
70,
78,
64
] | 71 | [
"64-54=10",
"70/10=7",
"78-7=71"
] | Current State: 71:[54, 70, 78, 64], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [70, 78, 10]
Generated Node #2: [70, 78, 10] from Operation: 64-54=10
Current State: 71:[70, 78, 10], Operations: ['64-54=10']
Exploring Operation: 70/10=7, Resulting Numbers: [78, 7]
Generated Node #3: [78, 7] from Operation: 70/10=7
Current State: 71:[78, 7], Operations: ['64-54=10', '70/10=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
39,
91,
75,
61
] | 84 | [
"91-39=52",
"75+61=136",
"136-52=84"
] | Current State: 84:[39, 91, 75, 61], Operations: []
Exploring Operation: 91-39=52, Resulting Numbers: [75, 61, 52]
Generated Node #2: [75, 61, 52] from Operation: 91-39=52
Current State: 84:[75, 61, 52], Operations: ['91-39=52']
Exploring Operation: 75+61=136, Resulting Numbers: [52, 136]
Generated Node #3: [52, 136] from Operation: 75+61=136
Current State: 84:[52, 136], Operations: ['91-39=52', '75+61=136']
Exploring Operation: 136-52=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
15,
16,
50,
55
] | 91 | [
"55-50=5",
"15*5=75",
"16+75=91"
] | Current State: 91:[15, 16, 50, 55], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [15, 16, 5]
Generated Node #2: [15, 16, 5] from Operation: 55-50=5
Current State: 91:[15, 16, 5], Operations: ['55-50=5']
Exploring Operation: 15*5=75, Resulting Numbers: [16, 75]
Generated Node #3: [16, 75] from Operation: 15*5=75
Current State: 91:[16, 75], Operations: ['55-50=5', '15*5=75']
Exploring Operation: 16+75=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
4,
30,
12,
13
] | 51 | [
"30-4=26",
"12+13=25",
"26+25=51"
] | Current State: 51:[4, 30, 12, 13], Operations: []
Exploring Operation: 30-4=26, Resulting Numbers: [12, 13, 26]
Generated Node #2: [12, 13, 26] from Operation: 30-4=26
Current State: 51:[12, 13, 26], Operations: ['30-4=26']
Exploring Operation: 12+13=25, Resulting Numbers: [26, 25]
Generated Node #3: [26, 25] from Operation: 12+13=25
Current State: 51:[26, 25], Operations: ['30-4=26', '12+13=25']
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
13,
14,
25,
48
] | 56 | [
"25-13=12",
"14*48=672",
"672/12=56"
] | Current State: 56:[13, 14, 25, 48], Operations: []
Exploring Operation: 25-13=12, Resulting Numbers: [14, 48, 12]
Generated Node #2: [14, 48, 12] from Operation: 25-13=12
Current State: 56:[14, 48, 12], Operations: ['25-13=12']
Exploring Operation: 14*48=672, Resulting Numbers: [12, 672]
Generated Node #3: [12, 672] from Operation: 14*48=672
Current State: 56:[12, 672], Operations: ['25-13=12', '14*48=672']
Exploring Operation: 672/12=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
34,
6,
34,
86
] | 86 | [
"34-34=0",
"6*0=0",
"86+0=86"
] | Current State: 86:[34, 6, 34, 86], Operations: []
Exploring Operation: 34-34=0, Resulting Numbers: [6, 86, 0]
Generated Node #2: [6, 86, 0] from Operation: 34-34=0
Current State: 86:[6, 86, 0], Operations: ['34-34=0']
Exploring Operation: 6*0=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 6*0=0
Current State: 86:[86, 0], Operations: ['34-34=0', '6*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
27,
33,
5,
65
] | 78 | [
"33-27=6",
"65/5=13",
"6*13=78"
] | Current State: 78:[27, 33, 5, 65], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [5, 65, 6]
Generated Node #2: [5, 65, 6] from Operation: 33-27=6
Current State: 78:[5, 65, 6], Operations: ['33-27=6']
Exploring Operation: 65/5=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 65/5=13
Current State: 78:[6, 13], Operations: ['33-27=6', '65/5=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
28,
34,
74,
25
] | 93 | [
"34-28=6",
"74+25=99",
"99-6=93"
] | Current State: 93:[28, 34, 74, 25], Operations: []
Exploring Operation: 34-28=6, Resulting Numbers: [74, 25, 6]
Generated Node #2: [74, 25, 6] from Operation: 34-28=6
Current State: 93:[74, 25, 6], Operations: ['34-28=6']
Exploring Operation: 74+25=99, Resulting Numbers: [6, 99]
Generated Node #3: [6, 99] from Operation: 74+25=99
Current State: 93:[6, 99], Operations: ['34-28=6', '74+25=99']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
45,
36,
27,
84
] | 48 | [
"45-36=9",
"84-27=57",
"57-9=48"
] | Current State: 48:[45, 36, 27, 84], Operations: []
Exploring Operation: 45-36=9, Resulting Numbers: [27, 84, 9]
Generated Node #2: [27, 84, 9] from Operation: 45-36=9
Current State: 48:[27, 84, 9], Operations: ['45-36=9']
Exploring Operation: 84-27=57, Resulting Numbers: [9, 57]
Generated Node #3: [9, 57] from Operation: 84-27=57
Current State: 48:[9, 57], Operations: ['45-36=9', '84-27=57']
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
16,
56,
2,
2
] | 45 | [
"56+2=58",
"58/2=29",
"16+29=45"
] | Current State: 45:[16, 56, 2, 2], Operations: []
Exploring Operation: 56+2=58, Resulting Numbers: [16, 58]
Generated Node #2: [16, 58] from Operation: 56+2=58
Current State: 45:[16, 58], Operations: ['56+2=58']
Exploring Operation: 58/2=29, Resulting Numbers: [16, 29]
Generated Node #3: [16, 29] from Operation: 58/2=29
Current State: 45:[16, 29], Operations: ['56+2=58', '58/2=29']
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
86,
74,
92,
44
] | 36 | [
"86-74=12",
"92-44=48",
"48-12=36"
] | Current State: 36:[86, 74, 92, 44], Operations: []
Exploring Operation: 86-74=12, Resulting Numbers: [92, 44, 12]
Generated Node #2: [92, 44, 12] from Operation: 86-74=12
Current State: 36:[92, 44, 12], Operations: ['86-74=12']
Exploring Operation: 92-44=48, Resulting Numbers: [12, 48]
Generated Node #3: [12, 48] from Operation: 92-44=48
Current State: 36:[12, 48], Operations: ['86-74=12', '92-44=48']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
84,
3,
48,
27
] | 85 | [
"84+27=111",
"111/3=37",
"48+37=85"
] | Current State: 85:[84, 3, 48, 27], Operations: []
Exploring Operation: 84+27=111, Resulting Numbers: [3, 48, 111]
Generated Node #2: [3, 48, 111] from Operation: 84+27=111
Current State: 85:[3, 48, 111], Operations: ['84+27=111']
Exploring Operation: 111/3=37, Resulting Numbers: [48, 37]
Generated Node #3: [48, 37] from Operation: 111/3=37
Current State: 85:[48, 37], Operations: ['84+27=111', '111/3=37']
Exploring Operation: 48+37=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
91,
38,
1,
3
] | 23 | [
"91*1=91",
"38*3=114",
"114-91=23"
] | Current State: 23:[91, 38, 1, 3], Operations: []
Exploring Operation: 91*1=91, Resulting Numbers: [38, 3, 91]
Generated Node #2: [38, 3, 91] from Operation: 91*1=91
Current State: 23:[38, 3, 91], Operations: ['91*1=91']
Exploring Operation: 38*3=114, Resulting Numbers: [91, 114]
Generated Node #3: [91, 114] from Operation: 38*3=114
Current State: 23:[91, 114], Operations: ['91*1=91', '38*3=114']
Exploring Operation: 114-91=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
14,
60,
41,
14
] | 60 | [
"14-14=0",
"41*0=0",
"60+0=60"
] | Current State: 60:[14, 60, 41, 14], Operations: []
Exploring Operation: 14-14=0, Resulting Numbers: [60, 41, 0]
Generated Node #2: [60, 41, 0] from Operation: 14-14=0
Current State: 60:[60, 41, 0], Operations: ['14-14=0']
Exploring Operation: 41*0=0, Resulting Numbers: [60, 0]
Generated Node #3: [60, 0] from Operation: 41*0=0
Current State: 60:[60, 0], Operations: ['14-14=0', '41*0=0']
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
52,
50,
54,
28
] | 39 | [
"54-52=2",
"50+28=78",
"78/2=39"
] | Current State: 39:[52, 50, 54, 28], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [50, 28, 2]
Generated Node #2: [50, 28, 2] from Operation: 54-52=2
Current State: 39:[50, 28, 2], Operations: ['54-52=2']
Exploring Operation: 50+28=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 50+28=78
Current State: 39:[2, 78], Operations: ['54-52=2', '50+28=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
90,
3,
68,
55
] | 99 | [
"90-68=22",
"55-22=33",
"3*33=99"
] | Current State: 99:[90, 3, 68, 55], Operations: []
Exploring Operation: 90-68=22, Resulting Numbers: [3, 55, 22]
Generated Node #2: [3, 55, 22] from Operation: 90-68=22
Current State: 99:[3, 55, 22], Operations: ['90-68=22']
Exploring Operation: 55-22=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 55-22=33
Current State: 99:[3, 33], Operations: ['90-68=22', '55-22=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
10,
99,
58,
75
] | 92 | [
"10+99=109",
"75-58=17",
"109-17=92"
] | Current State: 92:[10, 99, 58, 75], Operations: []
Exploring Operation: 10+99=109, Resulting Numbers: [58, 75, 109]
Generated Node #2: [58, 75, 109] from Operation: 10+99=109
Current State: 92:[58, 75, 109], Operations: ['10+99=109']
Exploring Operation: 75-58=17, Resulting Numbers: [109, 17]
Generated Node #3: [109, 17] from Operation: 75-58=17
Current State: 92:[109, 17], Operations: ['10+99=109', '75-58=17']
Exploring Operation: 109-17=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
24,
58,
2,
74
] | 84 | [
"24*2=48",
"58+74=132",
"132-48=84"
] | Current State: 84:[24, 58, 2, 74], Operations: []
Exploring Operation: 24*2=48, Resulting Numbers: [58, 74, 48]
Generated Node #2: [58, 74, 48] from Operation: 24*2=48
Current State: 84:[58, 74, 48], Operations: ['24*2=48']
Exploring Operation: 58+74=132, Resulting Numbers: [48, 132]
Generated Node #3: [48, 132] from Operation: 58+74=132
Current State: 84:[48, 132], Operations: ['24*2=48', '58+74=132']
Exploring Operation: 132-48=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
78,
49,
36,
64
] | 71 | [
"78-49=29",
"36+64=100",
"100-29=71"
] | Current State: 71:[78, 49, 36, 64], Operations: []
Exploring Operation: 78-49=29, Resulting Numbers: [36, 64, 29]
Generated Node #2: [36, 64, 29] from Operation: 78-49=29
Current State: 71:[36, 64, 29], Operations: ['78-49=29']
Exploring Operation: 36+64=100, Resulting Numbers: [29, 100]
Generated Node #3: [29, 100] from Operation: 36+64=100
Current State: 71:[29, 100], Operations: ['78-49=29', '36+64=100']
Exploring Operation: 100-29=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
64,
22,
81,
50
] | 72 | [
"64*81=5184",
"22+50=72",
"5184/72=72"
] | Current State: 72:[64, 22, 81, 50], Operations: []
Exploring Operation: 64*81=5184, Resulting Numbers: [22, 50, 5184]
Generated Node #2: [22, 50, 5184] from Operation: 64*81=5184
Current State: 72:[22, 50, 5184], Operations: ['64*81=5184']
Exploring Operation: 22+50=72, Resulting Numbers: [5184, 72]
Generated Node #3: [5184, 72] from Operation: 22+50=72
Current State: 72:[5184, 72], Operations: ['64*81=5184', '22+50=72']
Exploring Operation: 5184/72=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
18,
8,
55,
28
] | 64 | [
"18*28=504",
"8*55=440",
"504-440=64"
] | Current State: 64:[18, 8, 55, 28], Operations: []
Exploring Operation: 18*28=504, Resulting Numbers: [8, 55, 504]
Generated Node #2: [8, 55, 504] from Operation: 18*28=504
Current State: 64:[8, 55, 504], Operations: ['18*28=504']
Exploring Operation: 8*55=440, Resulting Numbers: [504, 440]
Generated Node #3: [504, 440] from Operation: 8*55=440
Current State: 64:[504, 440], Operations: ['18*28=504', '8*55=440']
Exploring Operation: 504-440=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
82,
95,
97,
6
] | 50 | [
"95+97=192",
"192/6=32",
"82-32=50"
] | Current State: 50:[82, 95, 97, 6], Operations: []
Exploring Operation: 95+97=192, Resulting Numbers: [82, 6, 192]
Generated Node #2: [82, 6, 192] from Operation: 95+97=192
Current State: 50:[82, 6, 192], Operations: ['95+97=192']
Exploring Operation: 192/6=32, Resulting Numbers: [82, 32]
Generated Node #3: [82, 32] from Operation: 192/6=32
Current State: 50:[82, 32], Operations: ['95+97=192', '192/6=32']
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
98,
96,
94,
16
] | 31 | [
"98-96=2",
"94/2=47",
"47-16=31"
] | Current State: 31:[98, 96, 94, 16], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [94, 16, 2]
Generated Node #2: [94, 16, 2] from Operation: 98-96=2
Current State: 31:[94, 16, 2], Operations: ['98-96=2']
Exploring Operation: 94/2=47, Resulting Numbers: [16, 47]
Generated Node #3: [16, 47] from Operation: 94/2=47
Current State: 31:[16, 47], Operations: ['98-96=2', '94/2=47']
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
73,
20,
77,
77
] | 61 | [
"73+20=93",
"77+77=154",
"154-93=61"
] | Current State: 61:[73, 20, 77, 77], Operations: []
Exploring Operation: 73+20=93, Resulting Numbers: [77, 77, 93]
Generated Node #2: [77, 77, 93] from Operation: 73+20=93
Current State: 61:[77, 77, 93], Operations: ['73+20=93']
Exploring Operation: 77+77=154, Resulting Numbers: [93, 154]
Generated Node #3: [93, 154] from Operation: 77+77=154
Current State: 61:[93, 154], Operations: ['73+20=93', '77+77=154']
Exploring Operation: 154-93=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
18,
56,
62,
78
] | 81 | [
"62-56=6",
"18/6=3",
"78+3=81"
] | Current State: 81:[18, 56, 62, 78], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [18, 78, 6]
Generated Node #2: [18, 78, 6] from Operation: 62-56=6
Current State: 81:[18, 78, 6], Operations: ['62-56=6']
Exploring Operation: 18/6=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 18/6=3
Current State: 81:[78, 3], Operations: ['62-56=6', '18/6=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
69,
10,
8,
10
] | 78 | [
"69+8=77",
"10/10=1",
"77+1=78"
] | Current State: 78:[69, 10, 8, 10], Operations: []
Exploring Operation: 69+8=77, Resulting Numbers: [10, 10, 77]
Generated Node #2: [10, 10, 77] from Operation: 69+8=77
Current State: 78:[10, 10, 77], Operations: ['69+8=77']
Exploring Operation: 10/10=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 10/10=1
Current State: 78:[77, 1], Operations: ['69+8=77', '10/10=1']
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
75,
61,
98,
84
] | 91 | [
"75-61=14",
"98/14=7",
"84+7=91"
] | Current State: 91:[75, 61, 98, 84], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [98, 84, 14]
Generated Node #2: [98, 84, 14] from Operation: 75-61=14
Current State: 91:[98, 84, 14], Operations: ['75-61=14']
Exploring Operation: 98/14=7, Resulting Numbers: [84, 7]
Generated Node #3: [84, 7] from Operation: 98/14=7
Current State: 91:[84, 7], Operations: ['75-61=14', '98/14=7']
Exploring Operation: 84+7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
90,
5,
20
] | 80 | [
"5+90=95",
"20-5=15",
"95-15=80"
] | Current State: 80:[5, 90, 5, 20], Operations: []
Exploring Operation: 5+90=95, Resulting Numbers: [20, 95]
Generated Node #2: [20, 95] from Operation: 5+90=95
Current State: 80:[20, 95], Operations: ['5+90=95']
Exploring Operation: 20-5=15, Resulting Numbers: [95, 15]
Generated Node #3: [95, 15] from Operation: 20-5=15
Current State: 80:[95, 15], Operations: ['5+90=95', '20-5=15']
Exploring Operation: 95-15=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
2,
34,
44,
64
] | 69 | [
"44-34=10",
"10/2=5",
"64+5=69"
] | Current State: 69:[2, 34, 44, 64], Operations: []
Exploring Operation: 44-34=10, Resulting Numbers: [2, 64, 10]
Generated Node #2: [2, 64, 10] from Operation: 44-34=10
Current State: 69:[2, 64, 10], Operations: ['44-34=10']
Exploring Operation: 10/2=5, Resulting Numbers: [64, 5]
Generated Node #3: [64, 5] from Operation: 10/2=5
Current State: 69:[64, 5], Operations: ['44-34=10', '10/2=5']
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
89,
67,
9,
55
] | 83 | [
"89+55=144",
"144/9=16",
"67+16=83"
] | Current State: 83:[89, 67, 9, 55], Operations: []
Exploring Operation: 89+55=144, Resulting Numbers: [67, 9, 144]
Generated Node #2: [67, 9, 144] from Operation: 89+55=144
Current State: 83:[67, 9, 144], Operations: ['89+55=144']
Exploring Operation: 144/9=16, Resulting Numbers: [67, 16]
Generated Node #3: [67, 16] from Operation: 144/9=16
Current State: 83:[67, 16], Operations: ['89+55=144', '144/9=16']
Exploring Operation: 67+16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
15,
45,
5,
14
] | 21 | [
"45-15=30",
"14-5=9",
"30-9=21"
] | Current State: 21:[15, 45, 5, 14], Operations: []
Exploring Operation: 45-15=30, Resulting Numbers: [5, 14, 30]
Generated Node #2: [5, 14, 30] from Operation: 45-15=30
Current State: 21:[5, 14, 30], Operations: ['45-15=30']
Exploring Operation: 14-5=9, Resulting Numbers: [30, 9]
Generated Node #3: [30, 9] from Operation: 14-5=9
Current State: 21:[30, 9], Operations: ['45-15=30', '14-5=9']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
98,
39,
17,
2
] | 21 | [
"98-39=59",
"59-17=42",
"42/2=21"
] | Current State: 21:[98, 39, 17, 2], Operations: []
Exploring Operation: 98-39=59, Resulting Numbers: [17, 2, 59]
Generated Node #2: [17, 2, 59] from Operation: 98-39=59
Current State: 21:[17, 2, 59], Operations: ['98-39=59']
Exploring Operation: 59-17=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 59-17=42
Current State: 21:[2, 42], Operations: ['98-39=59', '59-17=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
68,
49,
86,
43
] | 21 | [
"68-49=19",
"86/43=2",
"19+2=21"
] | Current State: 21:[68, 49, 86, 43], Operations: []
Exploring Operation: 68-49=19, Resulting Numbers: [86, 43, 19]
Generated Node #2: [86, 43, 19] from Operation: 68-49=19
Current State: 21:[86, 43, 19], Operations: ['68-49=19']
Exploring Operation: 86/43=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 86/43=2
Current State: 21:[19, 2], Operations: ['68-49=19', '86/43=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
94,
37,
36,
77
] | 90 | [
"94+37=131",
"77-36=41",
"131-41=90"
] | Current State: 90:[94, 37, 36, 77], Operations: []
Exploring Operation: 94+37=131, Resulting Numbers: [36, 77, 131]
Generated Node #2: [36, 77, 131] from Operation: 94+37=131
Current State: 90:[36, 77, 131], Operations: ['94+37=131']
Exploring Operation: 77-36=41, Resulting Numbers: [131, 41]
Generated Node #3: [131, 41] from Operation: 77-36=41
Current State: 90:[131, 41], Operations: ['94+37=131', '77-36=41']
Exploring Operation: 131-41=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
69,
31,
24,
90
] | 93 | [
"69+24=93",
"93/31=3",
"90+3=93"
] | Current State: 93:[69, 31, 24, 90], Operations: []
Exploring Operation: 69+24=93, Resulting Numbers: [31, 90, 93]
Generated Node #2: [31, 90, 93] from Operation: 69+24=93
Current State: 93:[31, 90, 93], Operations: ['69+24=93']
Exploring Operation: 93/31=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 93/31=3
Current State: 93:[90, 3], Operations: ['69+24=93', '93/31=3']
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
10,
12,
5,
52
] | 21 | [
"12-10=2",
"52/2=26",
"26-5=21"
] | Current State: 21:[10, 12, 5, 52], Operations: []
Exploring Operation: 12-10=2, Resulting Numbers: [5, 52, 2]
Generated Node #2: [5, 52, 2] from Operation: 12-10=2
Current State: 21:[5, 52, 2], Operations: ['12-10=2']
Exploring Operation: 52/2=26, Resulting Numbers: [5, 26]
Generated Node #3: [5, 26] from Operation: 52/2=26
Current State: 21:[5, 26], Operations: ['12-10=2', '52/2=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
70,
90,
69,
5
] | 18 | [
"70-69=1",
"90/5=18",
"1*18=18"
] | Current State: 18:[70, 90, 69, 5], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [90, 5, 1]
Generated Node #2: [90, 5, 1] from Operation: 70-69=1
Current State: 18:[90, 5, 1], Operations: ['70-69=1']
Exploring Operation: 90/5=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 90/5=18
Current State: 18:[1, 18], Operations: ['70-69=1', '90/5=18']
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
23,
68,
59,
21
] | 71 | [
"23*59=1357",
"68*21=1428",
"1428-1357=71"
] | Current State: 71:[23, 68, 59, 21], Operations: []
Exploring Operation: 23*59=1357, Resulting Numbers: [68, 21, 1357]
Generated Node #2: [68, 21, 1357] from Operation: 23*59=1357
Current State: 71:[68, 21, 1357], Operations: ['23*59=1357']
Exploring Operation: 68*21=1428, Resulting Numbers: [1357, 1428]
Generated Node #3: [1357, 1428] from Operation: 68*21=1428
Current State: 71:[1357, 1428], Operations: ['23*59=1357', '68*21=1428']
Exploring Operation: 1428-1357=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
45,
4,
16,
71
] | 93 | [
"45*4=180",
"16+71=87",
"180-87=93"
] | Current State: 93:[45, 4, 16, 71], Operations: []
Exploring Operation: 45*4=180, Resulting Numbers: [16, 71, 180]
Generated Node #2: [16, 71, 180] from Operation: 45*4=180
Current State: 93:[16, 71, 180], Operations: ['45*4=180']
Exploring Operation: 16+71=87, Resulting Numbers: [180, 87]
Generated Node #3: [180, 87] from Operation: 16+71=87
Current State: 93:[180, 87], Operations: ['45*4=180', '16+71=87']
Exploring Operation: 180-87=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
70,
2,
14,
75
] | 79 | [
"70*2=140",
"75-14=61",
"140-61=79"
] | Current State: 79:[70, 2, 14, 75], Operations: []
Exploring Operation: 70*2=140, Resulting Numbers: [14, 75, 140]
Generated Node #2: [14, 75, 140] from Operation: 70*2=140
Current State: 79:[14, 75, 140], Operations: ['70*2=140']
Exploring Operation: 75-14=61, Resulting Numbers: [140, 61]
Generated Node #3: [140, 61] from Operation: 75-14=61
Current State: 79:[140, 61], Operations: ['70*2=140', '75-14=61']
Exploring Operation: 140-61=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
8,
78,
19,
2
] | 36 | [
"8-2=6",
"19*6=114",
"114-78=36"
] | Current State: 36:[8, 78, 19, 2], Operations: []
Exploring Operation: 8-2=6, Resulting Numbers: [78, 19, 6]
Generated Node #2: [78, 19, 6] from Operation: 8-2=6
Current State: 36:[78, 19, 6], Operations: ['8-2=6']
Exploring Operation: 19*6=114, Resulting Numbers: [78, 114]
Generated Node #3: [78, 114] from Operation: 19*6=114
Current State: 36:[78, 114], Operations: ['8-2=6', '19*6=114']
Exploring Operation: 114-78=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
65,
71,
21,
57
] | 84 | [
"71-65=6",
"21+57=78",
"6+78=84"
] | Current State: 84:[65, 71, 21, 57], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [21, 57, 6]
Generated Node #2: [21, 57, 6] from Operation: 71-65=6
Current State: 84:[21, 57, 6], Operations: ['71-65=6']
Exploring Operation: 21+57=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 21+57=78
Current State: 84:[6, 78], Operations: ['71-65=6', '21+57=78']
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
53,
15,
77,
6
] | 54 | [
"53+15=68",
"77-68=9",
"6*9=54"
] | Current State: 54:[53, 15, 77, 6], Operations: []
Exploring Operation: 53+15=68, Resulting Numbers: [77, 6, 68]
Generated Node #2: [77, 6, 68] from Operation: 53+15=68
Current State: 54:[77, 6, 68], Operations: ['53+15=68']
Exploring Operation: 77-68=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 77-68=9
Current State: 54:[6, 9], Operations: ['53+15=68', '77-68=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
13,
92,
20,
12
] | 63 | [
"13+92=105",
"12*105=1260",
"1260/20=63"
] | Current State: 63:[13, 92, 20, 12], Operations: []
Exploring Operation: 13+92=105, Resulting Numbers: [20, 12, 105]
Generated Node #2: [20, 12, 105] from Operation: 13+92=105
Current State: 63:[20, 12, 105], Operations: ['13+92=105']
Exploring Operation: 12*105=1260, Resulting Numbers: [20, 1260]
Generated Node #3: [20, 1260] from Operation: 12*105=1260
Current State: 63:[20, 1260], Operations: ['13+92=105', '12*105=1260']
Exploring Operation: 1260/20=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
11,
62,
59,
12
] | 25 | [
"62-59=3",
"12*3=36",
"36-11=25"
] | Current State: 25:[11, 62, 59, 12], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [11, 12, 3]
Generated Node #2: [11, 12, 3] from Operation: 62-59=3
Current State: 25:[11, 12, 3], Operations: ['62-59=3']
Exploring Operation: 12*3=36, Resulting Numbers: [11, 36]
Generated Node #3: [11, 36] from Operation: 12*3=36
Current State: 25:[11, 36], Operations: ['62-59=3', '12*3=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
36,
35,
35,
25
] | 13 | [
"35*35=1225",
"1225/25=49",
"49-36=13"
] | Current State: 13:[36, 35, 35, 25], Operations: []
Exploring Operation: 35*35=1225, Resulting Numbers: [36, 25, 1225]
Generated Node #2: [36, 25, 1225] from Operation: 35*35=1225
Current State: 13:[36, 25, 1225], Operations: ['35*35=1225']
Exploring Operation: 1225/25=49, Resulting Numbers: [36, 49]
Generated Node #3: [36, 49] from Operation: 1225/25=49
Current State: 13:[36, 49], Operations: ['35*35=1225', '1225/25=49']
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
25,
68,
26,
98
] | 100 | [
"68+26=94",
"98-94=4",
"25*4=100"
] | Current State: 100:[25, 68, 26, 98], Operations: []
Exploring Operation: 68+26=94, Resulting Numbers: [25, 98, 94]
Generated Node #2: [25, 98, 94] from Operation: 68+26=94
Current State: 100:[25, 98, 94], Operations: ['68+26=94']
Exploring Operation: 98-94=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 98-94=4
Current State: 100:[25, 4], Operations: ['68+26=94', '98-94=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
38,
32,
77,
33
] | 40 | [
"38+32=70",
"77+33=110",
"110-70=40"
] | Current State: 40:[38, 32, 77, 33], Operations: []
Exploring Operation: 38+32=70, Resulting Numbers: [77, 33, 70]
Generated Node #2: [77, 33, 70] from Operation: 38+32=70
Current State: 40:[77, 33, 70], Operations: ['38+32=70']
Exploring Operation: 77+33=110, Resulting Numbers: [70, 110]
Generated Node #3: [70, 110] from Operation: 77+33=110
Current State: 40:[70, 110], Operations: ['38+32=70', '77+33=110']
Exploring Operation: 110-70=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
40,
89,
25,
95
] | 86 | [
"25+95=120",
"120/40=3",
"89-3=86"
] | Current State: 86:[40, 89, 25, 95], Operations: []
Exploring Operation: 25+95=120, Resulting Numbers: [40, 89, 120]
Generated Node #2: [40, 89, 120] from Operation: 25+95=120
Current State: 86:[40, 89, 120], Operations: ['25+95=120']
Exploring Operation: 120/40=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 120/40=3
Current State: 86:[89, 3], Operations: ['25+95=120', '120/40=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
4,
28,
61,
5
] | 89 | [
"5-4=1",
"28+61=89",
"1*89=89"
] | Current State: 89:[4, 28, 61, 5], Operations: []
Exploring Operation: 5-4=1, Resulting Numbers: [28, 61, 1]
Generated Node #2: [28, 61, 1] from Operation: 5-4=1
Current State: 89:[28, 61, 1], Operations: ['5-4=1']
Exploring Operation: 28+61=89, Resulting Numbers: [1, 89]
Generated Node #3: [1, 89] from Operation: 28+61=89
Current State: 89:[1, 89], Operations: ['5-4=1', '28+61=89']
Exploring Operation: 1*89=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
20,
91,
77,
24
] | 27 | [
"91+77=168",
"168/24=7",
"20+7=27"
] | Current State: 27:[20, 91, 77, 24], Operations: []
Exploring Operation: 91+77=168, Resulting Numbers: [20, 24, 168]
Generated Node #2: [20, 24, 168] from Operation: 91+77=168
Current State: 27:[20, 24, 168], Operations: ['91+77=168']
Exploring Operation: 168/24=7, Resulting Numbers: [20, 7]
Generated Node #3: [20, 7] from Operation: 168/24=7
Current State: 27:[20, 7], Operations: ['91+77=168', '168/24=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
17,
73,
30,
16
] | 13 | [
"17+73=90",
"90/30=3",
"16-3=13"
] | Current State: 13:[17, 73, 30, 16], Operations: []
Exploring Operation: 17+73=90, Resulting Numbers: [30, 16, 90]
Generated Node #2: [30, 16, 90] from Operation: 17+73=90
Current State: 13:[30, 16, 90], Operations: ['17+73=90']
Exploring Operation: 90/30=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 90/30=3
Current State: 13:[16, 3], Operations: ['17+73=90', '90/30=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
80,
16,
13,
23
] | 28 | [
"80-16=64",
"13+23=36",
"64-36=28"
] | Current State: 28:[80, 16, 13, 23], Operations: []
Exploring Operation: 80-16=64, Resulting Numbers: [13, 23, 64]
Generated Node #2: [13, 23, 64] from Operation: 80-16=64
Current State: 28:[13, 23, 64], Operations: ['80-16=64']
Exploring Operation: 13+23=36, Resulting Numbers: [64, 36]
Generated Node #3: [64, 36] from Operation: 13+23=36
Current State: 28:[64, 36], Operations: ['80-16=64', '13+23=36']
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
37,
31,
97,
4
] | 69 | [
"31+97=128",
"128/4=32",
"37+32=69"
] | Current State: 69:[37, 31, 97, 4], Operations: []
Exploring Operation: 31+97=128, Resulting Numbers: [37, 4, 128]
Generated Node #2: [37, 4, 128] from Operation: 31+97=128
Current State: 69:[37, 4, 128], Operations: ['31+97=128']
Exploring Operation: 128/4=32, Resulting Numbers: [37, 32]
Generated Node #3: [37, 32] from Operation: 128/4=32
Current State: 69:[37, 32], Operations: ['31+97=128', '128/4=32']
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
96,
83,
84,
85
] | 10 | [
"96+83=179",
"84+85=169",
"179-169=10"
] | Current State: 10:[96, 83, 84, 85], Operations: []
Exploring Operation: 96+83=179, Resulting Numbers: [84, 85, 179]
Generated Node #2: [84, 85, 179] from Operation: 96+83=179
Current State: 10:[84, 85, 179], Operations: ['96+83=179']
Exploring Operation: 84+85=169, Resulting Numbers: [179, 169]
Generated Node #3: [179, 169] from Operation: 84+85=169
Current State: 10:[179, 169], Operations: ['96+83=179', '84+85=169']
Exploring Operation: 179-169=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
87,
59,
97,
9
] | 60 | [
"87-59=28",
"97-9=88",
"88-28=60"
] | Current State: 60:[87, 59, 97, 9], Operations: []
Exploring Operation: 87-59=28, Resulting Numbers: [97, 9, 28]
Generated Node #2: [97, 9, 28] from Operation: 87-59=28
Current State: 60:[97, 9, 28], Operations: ['87-59=28']
Exploring Operation: 97-9=88, Resulting Numbers: [28, 88]
Generated Node #3: [28, 88] from Operation: 97-9=88
Current State: 60:[28, 88], Operations: ['87-59=28', '97-9=88']
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
15,
54,
54,
2
] | 12 | [
"54-15=39",
"54/2=27",
"39-27=12"
] | Current State: 12:[15, 54, 54, 2], Operations: []
Exploring Operation: 54-15=39, Resulting Numbers: [2, 39]
Generated Node #2: [2, 39] from Operation: 54-15=39
Current State: 12:[2, 39], Operations: ['54-15=39']
Exploring Operation: 54/2=27, Resulting Numbers: [39, 27]
Generated Node #3: [39, 27] from Operation: 54/2=27
Current State: 12:[39, 27], Operations: ['54-15=39', '54/2=27']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
74,
86,
51,
5
] | 95 | [
"74+86=160",
"51*5=255",
"255-160=95"
] | Current State: 95:[74, 86, 51, 5], Operations: []
Exploring Operation: 74+86=160, Resulting Numbers: [51, 5, 160]
Generated Node #2: [51, 5, 160] from Operation: 74+86=160
Current State: 95:[51, 5, 160], Operations: ['74+86=160']
Exploring Operation: 51*5=255, Resulting Numbers: [160, 255]
Generated Node #3: [160, 255] from Operation: 51*5=255
Current State: 95:[160, 255], Operations: ['74+86=160', '51*5=255']
Exploring Operation: 255-160=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
14,
8,
79,
38
] | 95 | [
"14+8=22",
"79+38=117",
"117-22=95"
] | Current State: 95:[14, 8, 79, 38], Operations: []
Exploring Operation: 14+8=22, Resulting Numbers: [79, 38, 22]
Generated Node #2: [79, 38, 22] from Operation: 14+8=22
Current State: 95:[79, 38, 22], Operations: ['14+8=22']
Exploring Operation: 79+38=117, Resulting Numbers: [22, 117]
Generated Node #3: [22, 117] from Operation: 79+38=117
Current State: 95:[22, 117], Operations: ['14+8=22', '79+38=117']
Exploring Operation: 117-22=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
79,
95,
77,
3
] | 96 | [
"95-79=16",
"77+3=80",
"16+80=96"
] | Current State: 96:[79, 95, 77, 3], Operations: []
Exploring Operation: 95-79=16, Resulting Numbers: [77, 3, 16]
Generated Node #2: [77, 3, 16] from Operation: 95-79=16
Current State: 96:[77, 3, 16], Operations: ['95-79=16']
Exploring Operation: 77+3=80, Resulting Numbers: [16, 80]
Generated Node #3: [16, 80] from Operation: 77+3=80
Current State: 96:[16, 80], Operations: ['95-79=16', '77+3=80']
Exploring Operation: 16+80=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
79,
39,
93,
42
] | 91 | [
"79-39=40",
"93-42=51",
"40+51=91"
] | Current State: 91:[79, 39, 93, 42], Operations: []
Exploring Operation: 79-39=40, Resulting Numbers: [93, 42, 40]
Generated Node #2: [93, 42, 40] from Operation: 79-39=40
Current State: 91:[93, 42, 40], Operations: ['79-39=40']
Exploring Operation: 93-42=51, Resulting Numbers: [40, 51]
Generated Node #3: [40, 51] from Operation: 93-42=51
Current State: 91:[40, 51], Operations: ['79-39=40', '93-42=51']
Exploring Operation: 40+51=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
39,
25,
98,
61
] | 95 | [
"39+25=64",
"98+61=159",
"159-64=95"
] | Current State: 95:[39, 25, 98, 61], Operations: []
Exploring Operation: 39+25=64, Resulting Numbers: [98, 61, 64]
Generated Node #2: [98, 61, 64] from Operation: 39+25=64
Current State: 95:[98, 61, 64], Operations: ['39+25=64']
Exploring Operation: 98+61=159, Resulting Numbers: [64, 159]
Generated Node #3: [64, 159] from Operation: 98+61=159
Current State: 95:[64, 159], Operations: ['39+25=64', '98+61=159']
Exploring Operation: 159-64=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
55,
19,
11,
44
] | 51 | [
"55*19=1045",
"1045/11=95",
"95-44=51"
] | Current State: 51:[55, 19, 11, 44], Operations: []
Exploring Operation: 55*19=1045, Resulting Numbers: [11, 44, 1045]
Generated Node #2: [11, 44, 1045] from Operation: 55*19=1045
Current State: 51:[11, 44, 1045], Operations: ['55*19=1045']
Exploring Operation: 1045/11=95, Resulting Numbers: [44, 95]
Generated Node #3: [44, 95] from Operation: 1045/11=95
Current State: 51:[44, 95], Operations: ['55*19=1045', '1045/11=95']
Exploring Operation: 95-44=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
95,
38,
50,
44
] | 81 | [
"95*50=4750",
"4750/38=125",
"125-44=81"
] | Current State: 81:[95, 38, 50, 44], Operations: []
Exploring Operation: 95*50=4750, Resulting Numbers: [38, 44, 4750]
Generated Node #2: [38, 44, 4750] from Operation: 95*50=4750
Current State: 81:[38, 44, 4750], Operations: ['95*50=4750']
Exploring Operation: 4750/38=125, Resulting Numbers: [44, 125]
Generated Node #3: [44, 125] from Operation: 4750/38=125
Current State: 81:[44, 125], Operations: ['95*50=4750', '4750/38=125']
Exploring Operation: 125-44=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
60,
45,
50,
6
] | 29 | [
"60-45=15",
"50-6=44",
"44-15=29"
] | Current State: 29:[60, 45, 50, 6], Operations: []
Exploring Operation: 60-45=15, Resulting Numbers: [50, 6, 15]
Generated Node #2: [50, 6, 15] from Operation: 60-45=15
Current State: 29:[50, 6, 15], Operations: ['60-45=15']
Exploring Operation: 50-6=44, Resulting Numbers: [15, 44]
Generated Node #3: [15, 44] from Operation: 50-6=44
Current State: 29:[15, 44], Operations: ['60-45=15', '50-6=44']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
45,
14,
32,
90
] | 91 | [
"45-14=31",
"32+90=122",
"122-31=91"
] | Current State: 91:[45, 14, 32, 90], Operations: []
Exploring Operation: 45-14=31, Resulting Numbers: [32, 90, 31]
Generated Node #2: [32, 90, 31] from Operation: 45-14=31
Current State: 91:[32, 90, 31], Operations: ['45-14=31']
Exploring Operation: 32+90=122, Resulting Numbers: [31, 122]
Generated Node #3: [31, 122] from Operation: 32+90=122
Current State: 91:[31, 122], Operations: ['45-14=31', '32+90=122']
Exploring Operation: 122-31=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
7,
93,
72,
89
] | 86 | [
"93-72=21",
"21/7=3",
"89-3=86"
] | Current State: 86:[7, 93, 72, 89], Operations: []
Exploring Operation: 93-72=21, Resulting Numbers: [7, 89, 21]
Generated Node #2: [7, 89, 21] from Operation: 93-72=21
Current State: 86:[7, 89, 21], Operations: ['93-72=21']
Exploring Operation: 21/7=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 21/7=3
Current State: 86:[89, 3], Operations: ['93-72=21', '21/7=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
37,
28,
25,
23
] | 50 | [
"37-23=14",
"28*25=700",
"700/14=50"
] | Current State: 50:[37, 28, 25, 23], Operations: []
Exploring Operation: 37-23=14, Resulting Numbers: [28, 25, 14]
Generated Node #2: [28, 25, 14] from Operation: 37-23=14
Current State: 50:[28, 25, 14], Operations: ['37-23=14']
Exploring Operation: 28*25=700, Resulting Numbers: [14, 700]
Generated Node #3: [14, 700] from Operation: 28*25=700
Current State: 50:[14, 700], Operations: ['37-23=14', '28*25=700']
Exploring Operation: 700/14=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
92,
15,
99,
96
] | 79 | [
"99+96=195",
"195/15=13",
"92-13=79"
] | Current State: 79:[92, 15, 99, 96], Operations: []
Exploring Operation: 99+96=195, Resulting Numbers: [92, 15, 195]
Generated Node #2: [92, 15, 195] from Operation: 99+96=195
Current State: 79:[92, 15, 195], Operations: ['99+96=195']
Exploring Operation: 195/15=13, Resulting Numbers: [92, 13]
Generated Node #3: [92, 13] from Operation: 195/15=13
Current State: 79:[92, 13], Operations: ['99+96=195', '195/15=13']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
1,
64,
75,
53
] | 86 | [
"1*64=64",
"75-53=22",
"64+22=86"
] | Current State: 86:[1, 64, 75, 53], Operations: []
Exploring Operation: 1*64=64, Resulting Numbers: [75, 53, 64]
Generated Node #2: [75, 53, 64] from Operation: 1*64=64
Current State: 86:[75, 53, 64], Operations: ['1*64=64']
Exploring Operation: 75-53=22, Resulting Numbers: [64, 22]
Generated Node #3: [64, 22] from Operation: 75-53=22
Current State: 86:[64, 22], Operations: ['1*64=64', '75-53=22']
Exploring Operation: 64+22=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
66,
24,
91,
18
] | 96 | [
"66+24=90",
"90/18=5",
"91+5=96"
] | Current State: 96:[66, 24, 91, 18], Operations: []
Exploring Operation: 66+24=90, Resulting Numbers: [91, 18, 90]
Generated Node #2: [91, 18, 90] from Operation: 66+24=90
Current State: 96:[91, 18, 90], Operations: ['66+24=90']
Exploring Operation: 90/18=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 90/18=5
Current State: 96:[91, 5], Operations: ['66+24=90', '90/18=5']
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
95,
63,
3,
56
] | 50 | [
"95-56=39",
"39/3=13",
"63-13=50"
] | Current State: 50:[95, 63, 3, 56], Operations: []
Exploring Operation: 95-56=39, Resulting Numbers: [63, 3, 39]
Generated Node #2: [63, 3, 39] from Operation: 95-56=39
Current State: 50:[63, 3, 39], Operations: ['95-56=39']
Exploring Operation: 39/3=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 39/3=13
Current State: 50:[63, 13], Operations: ['95-56=39', '39/3=13']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
55,
95,
79,
4
] | 43 | [
"95-55=40",
"79+4=83",
"83-40=43"
] | Current State: 43:[55, 95, 79, 4], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [79, 4, 40]
Generated Node #2: [79, 4, 40] from Operation: 95-55=40
Current State: 43:[79, 4, 40], Operations: ['95-55=40']
Exploring Operation: 79+4=83, Resulting Numbers: [40, 83]
Generated Node #3: [40, 83] from Operation: 79+4=83
Current State: 43:[40, 83], Operations: ['95-55=40', '79+4=83']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
13,
40,
70,
85
] | 68 | [
"13+40=53",
"85-70=15",
"53+15=68"
] | Current State: 68:[13, 40, 70, 85], Operations: []
Exploring Operation: 13+40=53, Resulting Numbers: [70, 85, 53]
Generated Node #2: [70, 85, 53] from Operation: 13+40=53
Current State: 68:[70, 85, 53], Operations: ['13+40=53']
Exploring Operation: 85-70=15, Resulting Numbers: [53, 15]
Generated Node #3: [53, 15] from Operation: 85-70=15
Current State: 68:[53, 15], Operations: ['13+40=53', '85-70=15']
Exploring Operation: 53+15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
18,
79,
60,
13
] | 95 | [
"18*13=234",
"79+60=139",
"234-139=95"
] | Current State: 95:[18, 79, 60, 13], Operations: []
Exploring Operation: 18*13=234, Resulting Numbers: [79, 60, 234]
Generated Node #2: [79, 60, 234] from Operation: 18*13=234
Current State: 95:[79, 60, 234], Operations: ['18*13=234']
Exploring Operation: 79+60=139, Resulting Numbers: [234, 139]
Generated Node #3: [234, 139] from Operation: 79+60=139
Current State: 95:[234, 139], Operations: ['18*13=234', '79+60=139']
Exploring Operation: 234-139=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
75,
62,
19,
79
] | 73 | [
"75-62=13",
"79-19=60",
"13+60=73"
] | Current State: 73:[75, 62, 19, 79], Operations: []
Exploring Operation: 75-62=13, Resulting Numbers: [19, 79, 13]
Generated Node #2: [19, 79, 13] from Operation: 75-62=13
Current State: 73:[19, 79, 13], Operations: ['75-62=13']
Exploring Operation: 79-19=60, Resulting Numbers: [13, 60]
Generated Node #3: [13, 60] from Operation: 79-19=60
Current State: 73:[13, 60], Operations: ['75-62=13', '79-19=60']
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
7,
35,
76,
8
] | 56 | [
"35-7=28",
"76+8=84",
"84-28=56"
] | Current State: 56:[7, 35, 76, 8], Operations: []
Exploring Operation: 35-7=28, Resulting Numbers: [76, 8, 28]
Generated Node #2: [76, 8, 28] from Operation: 35-7=28
Current State: 56:[76, 8, 28], Operations: ['35-7=28']
Exploring Operation: 76+8=84, Resulting Numbers: [28, 84]
Generated Node #3: [28, 84] from Operation: 76+8=84
Current State: 56:[28, 84], Operations: ['35-7=28', '76+8=84']
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
19,
56,
59,
4
] | 26 | [
"56-19=37",
"59+4=63",
"63-37=26"
] | Current State: 26:[19, 56, 59, 4], Operations: []
Exploring Operation: 56-19=37, Resulting Numbers: [59, 4, 37]
Generated Node #2: [59, 4, 37] from Operation: 56-19=37
Current State: 26:[59, 4, 37], Operations: ['56-19=37']
Exploring Operation: 59+4=63, Resulting Numbers: [37, 63]
Generated Node #3: [37, 63] from Operation: 59+4=63
Current State: 26:[37, 63], Operations: ['56-19=37', '59+4=63']
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
8,
46,
86,
47
] | 56 | [
"86-46=40",
"47-40=7",
"8*7=56"
] | Current State: 56:[8, 46, 86, 47], Operations: []
Exploring Operation: 86-46=40, Resulting Numbers: [8, 47, 40]
Generated Node #2: [8, 47, 40] from Operation: 86-46=40
Current State: 56:[8, 47, 40], Operations: ['86-46=40']
Exploring Operation: 47-40=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 47-40=7
Current State: 56:[8, 7], Operations: ['86-46=40', '47-40=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
52,
8,
48,
43
] | 65 | [
"52+8=60",
"48-43=5",
"60+5=65"
] | Current State: 65:[52, 8, 48, 43], Operations: []
Exploring Operation: 52+8=60, Resulting Numbers: [48, 43, 60]
Generated Node #2: [48, 43, 60] from Operation: 52+8=60
Current State: 65:[48, 43, 60], Operations: ['52+8=60']
Exploring Operation: 48-43=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 48-43=5
Current State: 65:[60, 5], Operations: ['52+8=60', '48-43=5']
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
27,
13,
61,
64
] | 66 | [
"64-61=3",
"13*3=39",
"27+39=66"
] | Current State: 66:[27, 13, 61, 64], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [27, 13, 3]
Generated Node #2: [27, 13, 3] from Operation: 64-61=3
Current State: 66:[27, 13, 3], Operations: ['64-61=3']
Exploring Operation: 13*3=39, Resulting Numbers: [27, 39]
Generated Node #3: [27, 39] from Operation: 13*3=39
Current State: 66:[27, 39], Operations: ['64-61=3', '13*3=39']
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
77,
50,
52,
79
] | 77 | [
"77-52=25",
"50/25=2",
"79-2=77"
] | Current State: 77:[77, 50, 52, 79], Operations: []
Exploring Operation: 77-52=25, Resulting Numbers: [50, 79, 25]
Generated Node #2: [50, 79, 25] from Operation: 77-52=25
Current State: 77:[50, 79, 25], Operations: ['77-52=25']
Exploring Operation: 50/25=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 50/25=2
Current State: 77:[79, 2], Operations: ['77-52=25', '50/25=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
81,
35,
33,
56
] | 53 | [
"35-33=2",
"56/2=28",
"81-28=53"
] | Current State: 53:[81, 35, 33, 56], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [81, 56, 2]
Generated Node #2: [81, 56, 2] from Operation: 35-33=2
Current State: 53:[81, 56, 2], Operations: ['35-33=2']
Exploring Operation: 56/2=28, Resulting Numbers: [81, 28]
Generated Node #3: [81, 28] from Operation: 56/2=28
Current State: 53:[81, 28], Operations: ['35-33=2', '56/2=28']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
82,
18,
41,
41
] | 99 | [
"82+18=100",
"41/41=1",
"100-1=99"
] | Current State: 99:[82, 18, 41, 41], Operations: []
Exploring Operation: 82+18=100, Resulting Numbers: [41, 41, 100]
Generated Node #2: [41, 41, 100] from Operation: 82+18=100
Current State: 99:[41, 41, 100], Operations: ['82+18=100']
Exploring Operation: 41/41=1, Resulting Numbers: [100, 1]
Generated Node #3: [100, 1] from Operation: 41/41=1
Current State: 99:[100, 1], Operations: ['82+18=100', '41/41=1']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
5,
38,
6,
66
] | 22 | [
"38-5=33",
"66/6=11",
"33-11=22"
] | Current State: 22:[5, 38, 6, 66], Operations: []
Exploring Operation: 38-5=33, Resulting Numbers: [6, 66, 33]
Generated Node #2: [6, 66, 33] from Operation: 38-5=33
Current State: 22:[6, 66, 33], Operations: ['38-5=33']
Exploring Operation: 66/6=11, Resulting Numbers: [33, 11]
Generated Node #3: [33, 11] from Operation: 66/6=11
Current State: 22:[33, 11], Operations: ['38-5=33', '66/6=11']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
42,
52,
52,
55
] | 91 | [
"42+52=94",
"55-52=3",
"94-3=91"
] | Current State: 91:[42, 52, 52, 55], Operations: []
Exploring Operation: 42+52=94, Resulting Numbers: [55, 94]
Generated Node #2: [55, 94] from Operation: 42+52=94
Current State: 91:[55, 94], Operations: ['42+52=94']
Exploring Operation: 55-52=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 55-52=3
Current State: 91:[94, 3], Operations: ['42+52=94', '55-52=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
36,
83,
26,
66
] | 45 | [
"83-36=47",
"26+66=92",
"92-47=45"
] | Current State: 45:[36, 83, 26, 66], Operations: []
Exploring Operation: 83-36=47, Resulting Numbers: [26, 66, 47]
Generated Node #2: [26, 66, 47] from Operation: 83-36=47
Current State: 45:[26, 66, 47], Operations: ['83-36=47']
Exploring Operation: 26+66=92, Resulting Numbers: [47, 92]
Generated Node #3: [47, 92] from Operation: 26+66=92
Current State: 45:[47, 92], Operations: ['83-36=47', '26+66=92']
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
69,
17,
55
] | 88 | [
"55-17=38",
"38/2=19",
"69+19=88"
] | Current State: 88:[2, 69, 17, 55], Operations: []
Exploring Operation: 55-17=38, Resulting Numbers: [2, 69, 38]
Generated Node #2: [2, 69, 38] from Operation: 55-17=38
Current State: 88:[2, 69, 38], Operations: ['55-17=38']
Exploring Operation: 38/2=19, Resulting Numbers: [69, 19]
Generated Node #3: [69, 19] from Operation: 38/2=19
Current State: 88:[69, 19], Operations: ['55-17=38', '38/2=19']
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
84,
41,
37,
72
] | 90 | [
"84+41=125",
"72-37=35",
"125-35=90"
] | Current State: 90:[84, 41, 37, 72], Operations: []
Exploring Operation: 84+41=125, Resulting Numbers: [37, 72, 125]
Generated Node #2: [37, 72, 125] from Operation: 84+41=125
Current State: 90:[37, 72, 125], Operations: ['84+41=125']
Exploring Operation: 72-37=35, Resulting Numbers: [125, 35]
Generated Node #3: [125, 35] from Operation: 72-37=35
Current State: 90:[125, 35], Operations: ['84+41=125', '72-37=35']
Exploring Operation: 125-35=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
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