nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
36,
53,
12,
43
] | 18 | [
"53-12=41",
"43-41=2",
"36/2=18"
] | Current State: 18:[36, 53, 12, 43], Operations: []
Exploring Operation: 53-12=41, Resulting Numbers: [36, 43, 41]
Generated Node #2: [36, 43, 41] from Operation: 53-12=41
Current State: 18:[36, 43, 41], Operations: ['53-12=41']
Exploring Operation: 43-41=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 43-41=2
Current State: 18:[36, 2], Operations: ['53-12=41', '43-41=2']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
41,
72,
59,
33
] | 21 | [
"41+72=113",
"59+33=92",
"113-92=21"
] | Current State: 21:[41, 72, 59, 33], Operations: []
Exploring Operation: 41+72=113, Resulting Numbers: [59, 33, 113]
Generated Node #2: [59, 33, 113] from Operation: 41+72=113
Current State: 21:[59, 33, 113], Operations: ['41+72=113']
Exploring Operation: 59+33=92, Resulting Numbers: [113, 92]
Generated Node #3: [113, 92] from Operation: 59+33=92
Current State: 21:[113, 92], Operations: ['41+72=113', '59+33=92']
Exploring Operation: 113-92=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
5,
88,
80,
40
] | 32 | [
"80/5=16",
"88-40=48",
"48-16=32"
] | Current State: 32:[5, 88, 80, 40], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [88, 40, 16]
Generated Node #2: [88, 40, 16] from Operation: 80/5=16
Current State: 32:[88, 40, 16], Operations: ['80/5=16']
Exploring Operation: 88-40=48, Resulting Numbers: [16, 48]
Generated Node #3: [16, 48] from Operation: 88-40=48
Current State: 32:[16, 48], Operations: ['80/5=16', '88-40=48']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
3,
4,
36,
31
] | 100 | [
"3+31=34",
"4*34=136",
"136-36=100"
] | Current State: 100:[3, 4, 36, 31], Operations: []
Exploring Operation: 3+31=34, Resulting Numbers: [4, 36, 34]
Generated Node #2: [4, 36, 34] from Operation: 3+31=34
Current State: 100:[4, 36, 34], Operations: ['3+31=34']
Exploring Operation: 4*34=136, Resulting Numbers: [36, 136]
Generated Node #3: [36, 136] from Operation: 4*34=136
Current State: 100:[36, 136], Operations: ['3+31=34', '4*34=136']
Exploring Operation: 136-36=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
72,
43,
60,
52
] | 46 | [
"72-52=20",
"60/20=3",
"43+3=46"
] | Current State: 46:[72, 43, 60, 52], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [43, 60, 20]
Generated Node #2: [43, 60, 20] from Operation: 72-52=20
Current State: 46:[43, 60, 20], Operations: ['72-52=20']
Exploring Operation: 60/20=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 60/20=3
Current State: 46:[43, 3], Operations: ['72-52=20', '60/20=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
2,
43,
54,
87
] | 20 | [
"43+54=97",
"97-87=10",
"2*10=20"
] | Current State: 20:[2, 43, 54, 87], Operations: []
Exploring Operation: 43+54=97, Resulting Numbers: [2, 87, 97]
Generated Node #2: [2, 87, 97] from Operation: 43+54=97
Current State: 20:[2, 87, 97], Operations: ['43+54=97']
Exploring Operation: 97-87=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 97-87=10
Current State: 20:[2, 10], Operations: ['43+54=97', '97-87=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
40,
57,
78,
69
] | 26 | [
"57-40=17",
"78-69=9",
"17+9=26"
] | Current State: 26:[40, 57, 78, 69], Operations: []
Exploring Operation: 57-40=17, Resulting Numbers: [78, 69, 17]
Generated Node #2: [78, 69, 17] from Operation: 57-40=17
Current State: 26:[78, 69, 17], Operations: ['57-40=17']
Exploring Operation: 78-69=9, Resulting Numbers: [17, 9]
Generated Node #3: [17, 9] from Operation: 78-69=9
Current State: 26:[17, 9], Operations: ['57-40=17', '78-69=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
84,
64,
84,
84
] | 21 | [
"84-64=20",
"84/84=1",
"20+1=21"
] | Current State: 21:[84, 64, 84, 84], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [20]
20,21 equal: Goal Reached
Exploring Operation: 84/84=1, Resulting Numbers: [20, 1]
Generated Node #2: [20, 1] from Operation: 84/84=1
Current State: 21:[20, 1], Operations: ['84/84=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
12,
74,
30,
43
] | 12 | [
"74-30=44",
"44-43=1",
"12*1=12"
] | Current State: 12:[12, 74, 30, 43], Operations: []
Exploring Operation: 74-30=44, Resulting Numbers: [12, 43, 44]
Generated Node #2: [12, 43, 44] from Operation: 74-30=44
Current State: 12:[12, 43, 44], Operations: ['74-30=44']
Exploring Operation: 44-43=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 44-43=1
Current State: 12:[12, 1], Operations: ['74-30=44', '44-43=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
3,
70,
83,
21
] | 93 | [
"3*70=210",
"210/21=10",
"83+10=93"
] | Current State: 93:[3, 70, 83, 21], Operations: []
Exploring Operation: 3*70=210, Resulting Numbers: [83, 21, 210]
Generated Node #2: [83, 21, 210] from Operation: 3*70=210
Current State: 93:[83, 21, 210], Operations: ['3*70=210']
Exploring Operation: 210/21=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 210/21=10
Current State: 93:[83, 10], Operations: ['3*70=210', '210/21=10']
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
2,
54,
9,
27
] | 35 | [
"2+27=29",
"54/9=6",
"29+6=35"
] | Current State: 35:[2, 54, 9, 27], Operations: []
Exploring Operation: 2+27=29, Resulting Numbers: [54, 9, 29]
Generated Node #2: [54, 9, 29] from Operation: 2+27=29
Current State: 35:[54, 9, 29], Operations: ['2+27=29']
Exploring Operation: 54/9=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 54/9=6
Current State: 35:[29, 6], Operations: ['2+27=29', '54/9=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
63,
3,
88,
54
] | 26 | [
"63-3=60",
"88-54=34",
"60-34=26"
] | Current State: 26:[63, 3, 88, 54], Operations: []
Exploring Operation: 63-3=60, Resulting Numbers: [88, 54, 60]
Generated Node #2: [88, 54, 60] from Operation: 63-3=60
Current State: 26:[88, 54, 60], Operations: ['63-3=60']
Exploring Operation: 88-54=34, Resulting Numbers: [60, 34]
Generated Node #3: [60, 34] from Operation: 88-54=34
Current State: 26:[60, 34], Operations: ['63-3=60', '88-54=34']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
52,
26,
46,
65
] | 16 | [
"46-26=20",
"52*20=1040",
"1040/65=16"
] | Current State: 16:[52, 26, 46, 65], Operations: []
Exploring Operation: 46-26=20, Resulting Numbers: [52, 65, 20]
Generated Node #2: [52, 65, 20] from Operation: 46-26=20
Current State: 16:[52, 65, 20], Operations: ['46-26=20']
Exploring Operation: 52*20=1040, Resulting Numbers: [65, 1040]
Generated Node #3: [65, 1040] from Operation: 52*20=1040
Current State: 16:[65, 1040], Operations: ['46-26=20', '52*20=1040']
Exploring Operation: 1040/65=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
75,
73,
70,
60
] | 65 | [
"75-73=2",
"70+60=130",
"130/2=65"
] | Current State: 65:[75, 73, 70, 60], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [70, 60, 2]
Generated Node #2: [70, 60, 2] from Operation: 75-73=2
Current State: 65:[70, 60, 2], Operations: ['75-73=2']
Exploring Operation: 70+60=130, Resulting Numbers: [2, 130]
Generated Node #3: [2, 130] from Operation: 70+60=130
Current State: 65:[2, 130], Operations: ['75-73=2', '70+60=130']
Exploring Operation: 130/2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
50,
63,
36,
15
] | 63 | [
"50-36=14",
"15-14=1",
"63*1=63"
] | Current State: 63:[50, 63, 36, 15], Operations: []
Exploring Operation: 50-36=14, Resulting Numbers: [63, 15, 14]
Generated Node #2: [63, 15, 14] from Operation: 50-36=14
Current State: 63:[63, 15, 14], Operations: ['50-36=14']
Exploring Operation: 15-14=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 15-14=1
Current State: 63:[63, 1], Operations: ['50-36=14', '15-14=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
52,
18,
7,
44
] | 17 | [
"52-18=34",
"7+44=51",
"51-34=17"
] | Current State: 17:[52, 18, 7, 44], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [7, 44, 34]
Generated Node #2: [7, 44, 34] from Operation: 52-18=34
Current State: 17:[7, 44, 34], Operations: ['52-18=34']
Exploring Operation: 7+44=51, Resulting Numbers: [34, 51]
Generated Node #3: [34, 51] from Operation: 7+44=51
Current State: 17:[34, 51], Operations: ['52-18=34', '7+44=51']
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
20,
25,
9,
64
] | 60 | [
"25-20=5",
"64-9=55",
"5+55=60"
] | Current State: 60:[20, 25, 9, 64], Operations: []
Exploring Operation: 25-20=5, Resulting Numbers: [9, 64, 5]
Generated Node #2: [9, 64, 5] from Operation: 25-20=5
Current State: 60:[9, 64, 5], Operations: ['25-20=5']
Exploring Operation: 64-9=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 64-9=55
Current State: 60:[5, 55], Operations: ['25-20=5', '64-9=55']
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
54,
48,
54,
89
] | 42 | [
"54/54=1",
"89-48=41",
"1+41=42"
] | Current State: 42:[54, 48, 54, 89], Operations: []
Exploring Operation: 54/54=1, Resulting Numbers: [48, 89, 1]
Generated Node #2: [48, 89, 1] from Operation: 54/54=1
Current State: 42:[48, 89, 1], Operations: ['54/54=1']
Exploring Operation: 89-48=41, Resulting Numbers: [1, 41]
Generated Node #3: [1, 41] from Operation: 89-48=41
Current State: 42:[1, 41], Operations: ['54/54=1', '89-48=41']
Exploring Operation: 1+41=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
43,
86,
48,
41
] | 10 | [
"43-41=2",
"48*2=96",
"96-86=10"
] | Current State: 10:[43, 86, 48, 41], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [86, 48, 2]
Generated Node #2: [86, 48, 2] from Operation: 43-41=2
Current State: 10:[86, 48, 2], Operations: ['43-41=2']
Exploring Operation: 48*2=96, Resulting Numbers: [86, 96]
Generated Node #3: [86, 96] from Operation: 48*2=96
Current State: 10:[86, 96], Operations: ['43-41=2', '48*2=96']
Exploring Operation: 96-86=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
68,
42,
22,
4
] | 44 | [
"68-42=26",
"22-4=18",
"26+18=44"
] | Current State: 44:[68, 42, 22, 4], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [22, 4, 26]
Generated Node #2: [22, 4, 26] from Operation: 68-42=26
Current State: 44:[22, 4, 26], Operations: ['68-42=26']
Exploring Operation: 22-4=18, Resulting Numbers: [26, 18]
Generated Node #3: [26, 18] from Operation: 22-4=18
Current State: 44:[26, 18], Operations: ['68-42=26', '22-4=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
82,
73,
3,
28
] | 91 | [
"82-28=54",
"54/3=18",
"73+18=91"
] | Current State: 91:[82, 73, 3, 28], Operations: []
Exploring Operation: 82-28=54, Resulting Numbers: [73, 3, 54]
Generated Node #2: [73, 3, 54] from Operation: 82-28=54
Current State: 91:[73, 3, 54], Operations: ['82-28=54']
Exploring Operation: 54/3=18, Resulting Numbers: [73, 18]
Generated Node #3: [73, 18] from Operation: 54/3=18
Current State: 91:[73, 18], Operations: ['82-28=54', '54/3=18']
Exploring Operation: 73+18=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
38,
8,
99,
66
] | 20 | [
"38-8=30",
"66*30=1980",
"1980/99=20"
] | Current State: 20:[38, 8, 99, 66], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [99, 66, 30]
Generated Node #2: [99, 66, 30] from Operation: 38-8=30
Current State: 20:[99, 66, 30], Operations: ['38-8=30']
Exploring Operation: 66*30=1980, Resulting Numbers: [99, 1980]
Generated Node #3: [99, 1980] from Operation: 66*30=1980
Current State: 20:[99, 1980], Operations: ['38-8=30', '66*30=1980']
Exploring Operation: 1980/99=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
68,
43,
47,
86
] | 89 | [
"68*86=5848",
"5848/43=136",
"136-47=89"
] | Current State: 89:[68, 43, 47, 86], Operations: []
Exploring Operation: 68*86=5848, Resulting Numbers: [43, 47, 5848]
Generated Node #2: [43, 47, 5848] from Operation: 68*86=5848
Current State: 89:[43, 47, 5848], Operations: ['68*86=5848']
Exploring Operation: 5848/43=136, Resulting Numbers: [47, 136]
Generated Node #3: [47, 136] from Operation: 5848/43=136
Current State: 89:[47, 136], Operations: ['68*86=5848', '5848/43=136']
Exploring Operation: 136-47=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
7,
19,
12,
20
] | 21 | [
"19-7=12",
"12/12=1",
"20+1=21"
] | Current State: 21:[7, 19, 12, 20], Operations: []
Exploring Operation: 19-7=12, Resulting Numbers: [12, 20, 12]
Generated Node #2: [12, 20, 12] from Operation: 19-7=12
Current State: 21:[12, 20, 12], Operations: ['19-7=12']
Exploring Operation: 12/12=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 12/12=1
Current State: 21:[20, 1], Operations: ['19-7=12', '12/12=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
16,
83,
65,
52
] | 86 | [
"16+83=99",
"65-52=13",
"99-13=86"
] | Current State: 86:[16, 83, 65, 52], Operations: []
Exploring Operation: 16+83=99, Resulting Numbers: [65, 52, 99]
Generated Node #2: [65, 52, 99] from Operation: 16+83=99
Current State: 86:[65, 52, 99], Operations: ['16+83=99']
Exploring Operation: 65-52=13, Resulting Numbers: [99, 13]
Generated Node #3: [99, 13] from Operation: 65-52=13
Current State: 86:[99, 13], Operations: ['16+83=99', '65-52=13']
Exploring Operation: 99-13=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
43,
91,
3,
68
] | 23 | [
"91-43=48",
"3+68=71",
"71-48=23"
] | Current State: 23:[43, 91, 3, 68], Operations: []
Exploring Operation: 91-43=48, Resulting Numbers: [3, 68, 48]
Generated Node #2: [3, 68, 48] from Operation: 91-43=48
Current State: 23:[3, 68, 48], Operations: ['91-43=48']
Exploring Operation: 3+68=71, Resulting Numbers: [48, 71]
Generated Node #3: [48, 71] from Operation: 3+68=71
Current State: 23:[48, 71], Operations: ['91-43=48', '3+68=71']
Exploring Operation: 71-48=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
35,
59,
83,
37
] | 22 | [
"59-35=24",
"83-37=46",
"46-24=22"
] | Current State: 22:[35, 59, 83, 37], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [83, 37, 24]
Generated Node #2: [83, 37, 24] from Operation: 59-35=24
Current State: 22:[83, 37, 24], Operations: ['59-35=24']
Exploring Operation: 83-37=46, Resulting Numbers: [24, 46]
Generated Node #3: [24, 46] from Operation: 83-37=46
Current State: 22:[24, 46], Operations: ['59-35=24', '83-37=46']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
44,
51,
18,
18
] | 95 | [
"44+51=95",
"18-18=0",
"95+0=95"
] | Current State: 95:[44, 51, 18, 18], Operations: []
Exploring Operation: 44+51=95, Resulting Numbers: [18, 18, 95]
Generated Node #2: [18, 18, 95] from Operation: 44+51=95
Current State: 95:[18, 18, 95], Operations: ['44+51=95']
Exploring Operation: 18-18=0, Resulting Numbers: [95, 0]
Generated Node #3: [95, 0] from Operation: 18-18=0
Current State: 95:[95, 0], Operations: ['44+51=95', '18-18=0']
Exploring Operation: 95+0=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
88,
33,
39,
36
] | 90 | [
"33+39=72",
"72/36=2",
"88+2=90"
] | Current State: 90:[88, 33, 39, 36], Operations: []
Exploring Operation: 33+39=72, Resulting Numbers: [88, 36, 72]
Generated Node #2: [88, 36, 72] from Operation: 33+39=72
Current State: 90:[88, 36, 72], Operations: ['33+39=72']
Exploring Operation: 72/36=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 72/36=2
Current State: 90:[88, 2], Operations: ['33+39=72', '72/36=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
37,
69,
57,
42
] | 91 | [
"37+69=106",
"57-42=15",
"106-15=91"
] | Current State: 91:[37, 69, 57, 42], Operations: []
Exploring Operation: 37+69=106, Resulting Numbers: [57, 42, 106]
Generated Node #2: [57, 42, 106] from Operation: 37+69=106
Current State: 91:[57, 42, 106], Operations: ['37+69=106']
Exploring Operation: 57-42=15, Resulting Numbers: [106, 15]
Generated Node #3: [106, 15] from Operation: 57-42=15
Current State: 91:[106, 15], Operations: ['37+69=106', '57-42=15']
Exploring Operation: 106-15=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
9,
11,
46,
28
] | 60 | [
"11-9=2",
"28/2=14",
"46+14=60"
] | Current State: 60:[9, 11, 46, 28], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [46, 28, 2]
Generated Node #2: [46, 28, 2] from Operation: 11-9=2
Current State: 60:[46, 28, 2], Operations: ['11-9=2']
Exploring Operation: 28/2=14, Resulting Numbers: [46, 14]
Generated Node #3: [46, 14] from Operation: 28/2=14
Current State: 60:[46, 14], Operations: ['11-9=2', '28/2=14']
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
50,
42,
11,
72
] | 99 | [
"50-42=8",
"11*72=792",
"792/8=99"
] | Current State: 99:[50, 42, 11, 72], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [11, 72, 8]
Generated Node #2: [11, 72, 8] from Operation: 50-42=8
Current State: 99:[11, 72, 8], Operations: ['50-42=8']
Exploring Operation: 11*72=792, Resulting Numbers: [8, 792]
Generated Node #3: [8, 792] from Operation: 11*72=792
Current State: 99:[8, 792], Operations: ['50-42=8', '11*72=792']
Exploring Operation: 792/8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
45,
52,
2,
79
] | 88 | [
"45+52=97",
"79+97=176",
"176/2=88"
] | Current State: 88:[45, 52, 2, 79], Operations: []
Exploring Operation: 45+52=97, Resulting Numbers: [2, 79, 97]
Generated Node #2: [2, 79, 97] from Operation: 45+52=97
Current State: 88:[2, 79, 97], Operations: ['45+52=97']
Exploring Operation: 79+97=176, Resulting Numbers: [2, 176]
Generated Node #3: [2, 176] from Operation: 79+97=176
Current State: 88:[2, 176], Operations: ['45+52=97', '79+97=176']
Exploring Operation: 176/2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
63,
56,
32,
59
] | 20 | [
"63-56=7",
"59-32=27",
"27-7=20"
] | Current State: 20:[63, 56, 32, 59], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [32, 59, 7]
Generated Node #2: [32, 59, 7] from Operation: 63-56=7
Current State: 20:[32, 59, 7], Operations: ['63-56=7']
Exploring Operation: 59-32=27, Resulting Numbers: [7, 27]
Generated Node #3: [7, 27] from Operation: 59-32=27
Current State: 20:[7, 27], Operations: ['63-56=7', '59-32=27']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
69,
29,
52,
28
] | 17 | [
"69-52=17",
"29-28=1",
"17*1=17"
] | Current State: 17:[69, 29, 52, 28], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [29, 28, 17]
Generated Node #2: [29, 28, 17] from Operation: 69-52=17
Current State: 17:[29, 28, 17], Operations: ['69-52=17']
Exploring Operation: 29-28=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 29-28=1
Current State: 17:[17, 1], Operations: ['69-52=17', '29-28=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
67,
6,
83,
72
] | 37 | [
"67+83=150",
"72+150=222",
"222/6=37"
] | Current State: 37:[67, 6, 83, 72], Operations: []
Exploring Operation: 67+83=150, Resulting Numbers: [6, 72, 150]
Generated Node #2: [6, 72, 150] from Operation: 67+83=150
Current State: 37:[6, 72, 150], Operations: ['67+83=150']
Exploring Operation: 72+150=222, Resulting Numbers: [6, 222]
Generated Node #3: [6, 222] from Operation: 72+150=222
Current State: 37:[6, 222], Operations: ['67+83=150', '72+150=222']
Exploring Operation: 222/6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
74,
56,
97,
77
] | 38 | [
"74-56=18",
"97-77=20",
"18+20=38"
] | Current State: 38:[74, 56, 97, 77], Operations: []
Exploring Operation: 74-56=18, Resulting Numbers: [97, 77, 18]
Generated Node #2: [97, 77, 18] from Operation: 74-56=18
Current State: 38:[97, 77, 18], Operations: ['74-56=18']
Exploring Operation: 97-77=20, Resulting Numbers: [18, 20]
Generated Node #3: [18, 20] from Operation: 97-77=20
Current State: 38:[18, 20], Operations: ['74-56=18', '97-77=20']
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
45,
32,
50,
17
] | 75 | [
"50-45=5",
"32-17=15",
"5*15=75"
] | Current State: 75:[45, 32, 50, 17], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [32, 17, 5]
Generated Node #2: [32, 17, 5] from Operation: 50-45=5
Current State: 75:[32, 17, 5], Operations: ['50-45=5']
Exploring Operation: 32-17=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 32-17=15
Current State: 75:[5, 15], Operations: ['50-45=5', '32-17=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
99,
43,
5
] | 56 | [
"5+99=104",
"43+5=48",
"104-48=56"
] | Current State: 56:[5, 99, 43, 5], Operations: []
Exploring Operation: 5+99=104, Resulting Numbers: [43, 104]
Generated Node #2: [43, 104] from Operation: 5+99=104
Current State: 56:[43, 104], Operations: ['5+99=104']
Exploring Operation: 43+5=48, Resulting Numbers: [104, 48]
Generated Node #3: [104, 48] from Operation: 43+5=48
Current State: 56:[104, 48], Operations: ['5+99=104', '43+5=48']
Exploring Operation: 104-48=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
30,
75,
99,
91
] | 97 | [
"30+75=105",
"99-91=8",
"105-8=97"
] | Current State: 97:[30, 75, 99, 91], Operations: []
Exploring Operation: 30+75=105, Resulting Numbers: [99, 91, 105]
Generated Node #2: [99, 91, 105] from Operation: 30+75=105
Current State: 97:[99, 91, 105], Operations: ['30+75=105']
Exploring Operation: 99-91=8, Resulting Numbers: [105, 8]
Generated Node #3: [105, 8] from Operation: 99-91=8
Current State: 97:[105, 8], Operations: ['30+75=105', '99-91=8']
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
40,
91,
52,
3
] | 69 | [
"91-40=51",
"51/3=17",
"52+17=69"
] | Current State: 69:[40, 91, 52, 3], Operations: []
Exploring Operation: 91-40=51, Resulting Numbers: [52, 3, 51]
Generated Node #2: [52, 3, 51] from Operation: 91-40=51
Current State: 69:[52, 3, 51], Operations: ['91-40=51']
Exploring Operation: 51/3=17, Resulting Numbers: [52, 17]
Generated Node #3: [52, 17] from Operation: 51/3=17
Current State: 69:[52, 17], Operations: ['91-40=51', '51/3=17']
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
41,
8,
90,
45
] | 88 | [
"45-41=4",
"8/4=2",
"90-2=88"
] | Current State: 88:[41, 8, 90, 45], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [8, 90, 4]
Generated Node #2: [8, 90, 4] from Operation: 45-41=4
Current State: 88:[8, 90, 4], Operations: ['45-41=4']
Exploring Operation: 8/4=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 8/4=2
Current State: 88:[90, 2], Operations: ['45-41=4', '8/4=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
21,
19,
24,
26
] | 52 | [
"21-19=2",
"24+26=50",
"2+50=52"
] | Current State: 52:[21, 19, 24, 26], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [24, 26, 2]
Generated Node #2: [24, 26, 2] from Operation: 21-19=2
Current State: 52:[24, 26, 2], Operations: ['21-19=2']
Exploring Operation: 24+26=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 24+26=50
Current State: 52:[2, 50], Operations: ['21-19=2', '24+26=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
18,
18,
27,
21
] | 23 | [
"27-18=9",
"18/9=2",
"21+2=23"
] | Current State: 23:[18, 18, 27, 21], Operations: []
Exploring Operation: 27-18=9, Resulting Numbers: [21, 9]
Generated Node #2: [21, 9] from Operation: 27-18=9
Current State: 23:[21, 9], Operations: ['27-18=9']
Exploring Operation: 18/9=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 18/9=2
Current State: 23:[21, 2], Operations: ['27-18=9', '18/9=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
52,
70,
69,
30
] | 83 | [
"52+70=122",
"69-30=39",
"122-39=83"
] | Current State: 83:[52, 70, 69, 30], Operations: []
Exploring Operation: 52+70=122, Resulting Numbers: [69, 30, 122]
Generated Node #2: [69, 30, 122] from Operation: 52+70=122
Current State: 83:[69, 30, 122], Operations: ['52+70=122']
Exploring Operation: 69-30=39, Resulting Numbers: [122, 39]
Generated Node #3: [122, 39] from Operation: 69-30=39
Current State: 83:[122, 39], Operations: ['52+70=122', '69-30=39']
Exploring Operation: 122-39=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
29,
20,
35,
63
] | 20 | [
"29+35=64",
"64-63=1",
"20*1=20"
] | Current State: 20:[29, 20, 35, 63], Operations: []
Exploring Operation: 29+35=64, Resulting Numbers: [20, 63, 64]
Generated Node #2: [20, 63, 64] from Operation: 29+35=64
Current State: 20:[20, 63, 64], Operations: ['29+35=64']
Exploring Operation: 64-63=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 64-63=1
Current State: 20:[20, 1], Operations: ['29+35=64', '64-63=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
46,
86,
67,
9
] | 98 | [
"86-46=40",
"67-9=58",
"40+58=98"
] | Current State: 98:[46, 86, 67, 9], Operations: []
Exploring Operation: 86-46=40, Resulting Numbers: [67, 9, 40]
Generated Node #2: [67, 9, 40] from Operation: 86-46=40
Current State: 98:[67, 9, 40], Operations: ['86-46=40']
Exploring Operation: 67-9=58, Resulting Numbers: [40, 58]
Generated Node #3: [40, 58] from Operation: 67-9=58
Current State: 98:[40, 58], Operations: ['86-46=40', '67-9=58']
Exploring Operation: 40+58=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
80,
30,
19,
86
] | 55 | [
"80-30=50",
"19+86=105",
"105-50=55"
] | Current State: 55:[80, 30, 19, 86], Operations: []
Exploring Operation: 80-30=50, Resulting Numbers: [19, 86, 50]
Generated Node #2: [19, 86, 50] from Operation: 80-30=50
Current State: 55:[19, 86, 50], Operations: ['80-30=50']
Exploring Operation: 19+86=105, Resulting Numbers: [50, 105]
Generated Node #3: [50, 105] from Operation: 19+86=105
Current State: 55:[50, 105], Operations: ['80-30=50', '19+86=105']
Exploring Operation: 105-50=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
73,
3,
4,
61
] | 92 | [
"61-4=57",
"57/3=19",
"73+19=92"
] | Current State: 92:[73, 3, 4, 61], Operations: []
Exploring Operation: 61-4=57, Resulting Numbers: [73, 3, 57]
Generated Node #2: [73, 3, 57] from Operation: 61-4=57
Current State: 92:[73, 3, 57], Operations: ['61-4=57']
Exploring Operation: 57/3=19, Resulting Numbers: [73, 19]
Generated Node #3: [73, 19] from Operation: 57/3=19
Current State: 92:[73, 19], Operations: ['61-4=57', '57/3=19']
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
87,
47,
10,
75
] | 71 | [
"87-47=40",
"40/10=4",
"75-4=71"
] | Current State: 71:[87, 47, 10, 75], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [10, 75, 40]
Generated Node #2: [10, 75, 40] from Operation: 87-47=40
Current State: 71:[10, 75, 40], Operations: ['87-47=40']
Exploring Operation: 40/10=4, Resulting Numbers: [75, 4]
Generated Node #3: [75, 4] from Operation: 40/10=4
Current State: 71:[75, 4], Operations: ['87-47=40', '40/10=4']
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
68,
75,
93,
3
] | 64 | [
"68+93=161",
"75*3=225",
"225-161=64"
] | Current State: 64:[68, 75, 93, 3], Operations: []
Exploring Operation: 68+93=161, Resulting Numbers: [75, 3, 161]
Generated Node #2: [75, 3, 161] from Operation: 68+93=161
Current State: 64:[75, 3, 161], Operations: ['68+93=161']
Exploring Operation: 75*3=225, Resulting Numbers: [161, 225]
Generated Node #3: [161, 225] from Operation: 75*3=225
Current State: 64:[161, 225], Operations: ['68+93=161', '75*3=225']
Exploring Operation: 225-161=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
18,
20,
4,
32
] | 64 | [
"20-18=2",
"4*32=128",
"128/2=64"
] | Current State: 64:[18, 20, 4, 32], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [4, 32, 2]
Generated Node #2: [4, 32, 2] from Operation: 20-18=2
Current State: 64:[4, 32, 2], Operations: ['20-18=2']
Exploring Operation: 4*32=128, Resulting Numbers: [2, 128]
Generated Node #3: [2, 128] from Operation: 4*32=128
Current State: 64:[2, 128], Operations: ['20-18=2', '4*32=128']
Exploring Operation: 128/2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
30,
82,
9,
91
] | 29 | [
"82+9=91",
"91/91=1",
"30-1=29"
] | Current State: 29:[30, 82, 9, 91], Operations: []
Exploring Operation: 82+9=91, Resulting Numbers: [30, 91, 91]
Generated Node #2: [30, 91, 91] from Operation: 82+9=91
Current State: 29:[30, 91, 91], Operations: ['82+9=91']
Exploring Operation: 91/91=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 91/91=1
Current State: 29:[30, 1], Operations: ['82+9=91', '91/91=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
19,
52,
16,
2
] | 29 | [
"19-16=3",
"52/2=26",
"3+26=29"
] | Current State: 29:[19, 52, 16, 2], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [52, 2, 3]
Generated Node #2: [52, 2, 3] from Operation: 19-16=3
Current State: 29:[52, 2, 3], Operations: ['19-16=3']
Exploring Operation: 52/2=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 52/2=26
Current State: 29:[3, 26], Operations: ['19-16=3', '52/2=26']
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
49,
2,
6,
31
] | 26 | [
"49+2=51",
"31-6=25",
"51-25=26"
] | Current State: 26:[49, 2, 6, 31], Operations: []
Exploring Operation: 49+2=51, Resulting Numbers: [6, 31, 51]
Generated Node #2: [6, 31, 51] from Operation: 49+2=51
Current State: 26:[6, 31, 51], Operations: ['49+2=51']
Exploring Operation: 31-6=25, Resulting Numbers: [51, 25]
Generated Node #3: [51, 25] from Operation: 31-6=25
Current State: 26:[51, 25], Operations: ['49+2=51', '31-6=25']
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
16,
82,
49,
80
] | 97 | [
"82-16=66",
"80-49=31",
"66+31=97"
] | Current State: 97:[16, 82, 49, 80], Operations: []
Exploring Operation: 82-16=66, Resulting Numbers: [49, 80, 66]
Generated Node #2: [49, 80, 66] from Operation: 82-16=66
Current State: 97:[49, 80, 66], Operations: ['82-16=66']
Exploring Operation: 80-49=31, Resulting Numbers: [66, 31]
Generated Node #3: [66, 31] from Operation: 80-49=31
Current State: 97:[66, 31], Operations: ['82-16=66', '80-49=31']
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
55,
6,
39,
82
] | 72 | [
"55-6=49",
"39+82=121",
"121-49=72"
] | Current State: 72:[55, 6, 39, 82], Operations: []
Exploring Operation: 55-6=49, Resulting Numbers: [39, 82, 49]
Generated Node #2: [39, 82, 49] from Operation: 55-6=49
Current State: 72:[39, 82, 49], Operations: ['55-6=49']
Exploring Operation: 39+82=121, Resulting Numbers: [49, 121]
Generated Node #3: [49, 121] from Operation: 39+82=121
Current State: 72:[49, 121], Operations: ['55-6=49', '39+82=121']
Exploring Operation: 121-49=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
52,
50,
49,
69
] | 16 | [
"52+50=102",
"49+69=118",
"118-102=16"
] | Current State: 16:[52, 50, 49, 69], Operations: []
Exploring Operation: 52+50=102, Resulting Numbers: [49, 69, 102]
Generated Node #2: [49, 69, 102] from Operation: 52+50=102
Current State: 16:[49, 69, 102], Operations: ['52+50=102']
Exploring Operation: 49+69=118, Resulting Numbers: [102, 118]
Generated Node #3: [102, 118] from Operation: 49+69=118
Current State: 16:[102, 118], Operations: ['52+50=102', '49+69=118']
Exploring Operation: 118-102=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
39,
11,
88,
68
] | 44 | [
"88+68=156",
"156/39=4",
"11*4=44"
] | Current State: 44:[39, 11, 88, 68], Operations: []
Exploring Operation: 88+68=156, Resulting Numbers: [39, 11, 156]
Generated Node #2: [39, 11, 156] from Operation: 88+68=156
Current State: 44:[39, 11, 156], Operations: ['88+68=156']
Exploring Operation: 156/39=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 156/39=4
Current State: 44:[11, 4], Operations: ['88+68=156', '156/39=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
54,
44,
98,
95
] | 78 | [
"98-95=3",
"44*3=132",
"132-54=78"
] | Current State: 78:[54, 44, 98, 95], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [54, 44, 3]
Generated Node #2: [54, 44, 3] from Operation: 98-95=3
Current State: 78:[54, 44, 3], Operations: ['98-95=3']
Exploring Operation: 44*3=132, Resulting Numbers: [54, 132]
Generated Node #3: [54, 132] from Operation: 44*3=132
Current State: 78:[54, 132], Operations: ['98-95=3', '44*3=132']
Exploring Operation: 132-54=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
29,
14,
12,
99
] | 44 | [
"29+14=43",
"99-12=87",
"87-43=44"
] | Current State: 44:[29, 14, 12, 99], Operations: []
Exploring Operation: 29+14=43, Resulting Numbers: [12, 99, 43]
Generated Node #2: [12, 99, 43] from Operation: 29+14=43
Current State: 44:[12, 99, 43], Operations: ['29+14=43']
Exploring Operation: 99-12=87, Resulting Numbers: [43, 87]
Generated Node #3: [43, 87] from Operation: 99-12=87
Current State: 44:[43, 87], Operations: ['29+14=43', '99-12=87']
Exploring Operation: 87-43=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
16,
76,
7,
19
] | 44 | [
"76*7=532",
"532/19=28",
"16+28=44"
] | Current State: 44:[16, 76, 7, 19], Operations: []
Exploring Operation: 76*7=532, Resulting Numbers: [16, 19, 532]
Generated Node #2: [16, 19, 532] from Operation: 76*7=532
Current State: 44:[16, 19, 532], Operations: ['76*7=532']
Exploring Operation: 532/19=28, Resulting Numbers: [16, 28]
Generated Node #3: [16, 28] from Operation: 532/19=28
Current State: 44:[16, 28], Operations: ['76*7=532', '532/19=28']
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
42,
33,
87,
37
] | 25 | [
"42+33=75",
"87-37=50",
"75-50=25"
] | Current State: 25:[42, 33, 87, 37], Operations: []
Exploring Operation: 42+33=75, Resulting Numbers: [87, 37, 75]
Generated Node #2: [87, 37, 75] from Operation: 42+33=75
Current State: 25:[87, 37, 75], Operations: ['42+33=75']
Exploring Operation: 87-37=50, Resulting Numbers: [75, 50]
Generated Node #3: [75, 50] from Operation: 87-37=50
Current State: 25:[75, 50], Operations: ['42+33=75', '87-37=50']
Exploring Operation: 75-50=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
99,
34,
40,
93
] | 32 | [
"99+93=192",
"40-34=6",
"192/6=32"
] | Current State: 32:[99, 34, 40, 93], Operations: []
Exploring Operation: 99+93=192, Resulting Numbers: [34, 40, 192]
Generated Node #2: [34, 40, 192] from Operation: 99+93=192
Current State: 32:[34, 40, 192], Operations: ['99+93=192']
Exploring Operation: 40-34=6, Resulting Numbers: [192, 6]
Generated Node #3: [192, 6] from Operation: 40-34=6
Current State: 32:[192, 6], Operations: ['99+93=192', '40-34=6']
Exploring Operation: 192/6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
79,
12,
94,
91
] | 93 | [
"79+12=91",
"91/91=1",
"94-1=93"
] | Current State: 93:[79, 12, 94, 91], Operations: []
Exploring Operation: 79+12=91, Resulting Numbers: [94, 91, 91]
Generated Node #2: [94, 91, 91] from Operation: 79+12=91
Current State: 93:[94, 91, 91], Operations: ['79+12=91']
Exploring Operation: 91/91=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 91/91=1
Current State: 93:[94, 1], Operations: ['79+12=91', '91/91=1']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
1,
48,
96,
82
] | 35 | [
"1+48=49",
"96-82=14",
"49-14=35"
] | Current State: 35:[1, 48, 96, 82], Operations: []
Exploring Operation: 1+48=49, Resulting Numbers: [96, 82, 49]
Generated Node #2: [96, 82, 49] from Operation: 1+48=49
Current State: 35:[96, 82, 49], Operations: ['1+48=49']
Exploring Operation: 96-82=14, Resulting Numbers: [49, 14]
Generated Node #3: [49, 14] from Operation: 96-82=14
Current State: 35:[49, 14], Operations: ['1+48=49', '96-82=14']
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
44,
59,
53,
99
] | 57 | [
"44+59=103",
"99-53=46",
"103-46=57"
] | Current State: 57:[44, 59, 53, 99], Operations: []
Exploring Operation: 44+59=103, Resulting Numbers: [53, 99, 103]
Generated Node #2: [53, 99, 103] from Operation: 44+59=103
Current State: 57:[53, 99, 103], Operations: ['44+59=103']
Exploring Operation: 99-53=46, Resulting Numbers: [103, 46]
Generated Node #3: [103, 46] from Operation: 99-53=46
Current State: 57:[103, 46], Operations: ['44+59=103', '99-53=46']
Exploring Operation: 103-46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
3,
48,
48,
68
] | 28 | [
"3*48=144",
"48+68=116",
"144-116=28"
] | Current State: 28:[3, 48, 48, 68], Operations: []
Exploring Operation: 3*48=144, Resulting Numbers: [68, 144]
Generated Node #2: [68, 144] from Operation: 3*48=144
Current State: 28:[68, 144], Operations: ['3*48=144']
Exploring Operation: 48+68=116, Resulting Numbers: [144, 116]
Generated Node #3: [144, 116] from Operation: 48+68=116
Current State: 28:[144, 116], Operations: ['3*48=144', '48+68=116']
Exploring Operation: 144-116=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
48,
34,
30,
7
] | 59 | [
"48+34=82",
"30-7=23",
"82-23=59"
] | Current State: 59:[48, 34, 30, 7], Operations: []
Exploring Operation: 48+34=82, Resulting Numbers: [30, 7, 82]
Generated Node #2: [30, 7, 82] from Operation: 48+34=82
Current State: 59:[30, 7, 82], Operations: ['48+34=82']
Exploring Operation: 30-7=23, Resulting Numbers: [82, 23]
Generated Node #3: [82, 23] from Operation: 30-7=23
Current State: 59:[82, 23], Operations: ['48+34=82', '30-7=23']
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
27,
6,
4,
55
] | 29 | [
"27-6=21",
"4*21=84",
"84-55=29"
] | Current State: 29:[27, 6, 4, 55], Operations: []
Exploring Operation: 27-6=21, Resulting Numbers: [4, 55, 21]
Generated Node #2: [4, 55, 21] from Operation: 27-6=21
Current State: 29:[4, 55, 21], Operations: ['27-6=21']
Exploring Operation: 4*21=84, Resulting Numbers: [55, 84]
Generated Node #3: [55, 84] from Operation: 4*21=84
Current State: 29:[55, 84], Operations: ['27-6=21', '4*21=84']
Exploring Operation: 84-55=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
19,
69,
87,
54
] | 22 | [
"87-69=18",
"54/18=3",
"19+3=22"
] | Current State: 22:[19, 69, 87, 54], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [19, 54, 18]
Generated Node #2: [19, 54, 18] from Operation: 87-69=18
Current State: 22:[19, 54, 18], Operations: ['87-69=18']
Exploring Operation: 54/18=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 54/18=3
Current State: 22:[19, 3], Operations: ['87-69=18', '54/18=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
58,
14,
92,
45
] | 92 | [
"58-14=44",
"45-44=1",
"92*1=92"
] | Current State: 92:[58, 14, 92, 45], Operations: []
Exploring Operation: 58-14=44, Resulting Numbers: [92, 45, 44]
Generated Node #2: [92, 45, 44] from Operation: 58-14=44
Current State: 92:[92, 45, 44], Operations: ['58-14=44']
Exploring Operation: 45-44=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 45-44=1
Current State: 92:[92, 1], Operations: ['58-14=44', '45-44=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
51,
49,
64,
46
] | 75 | [
"51-46=5",
"64-49=15",
"5*15=75"
] | Current State: 75:[51, 49, 64, 46], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [49, 64, 5]
Generated Node #2: [49, 64, 5] from Operation: 51-46=5
Current State: 75:[49, 64, 5], Operations: ['51-46=5']
Exploring Operation: 64-49=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 64-49=15
Current State: 75:[5, 15], Operations: ['51-46=5', '64-49=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
30,
8,
88,
24
] | 100 | [
"88-8=80",
"30*80=2400",
"2400/24=100"
] | Current State: 100:[30, 8, 88, 24], Operations: []
Exploring Operation: 88-8=80, Resulting Numbers: [30, 24, 80]
Generated Node #2: [30, 24, 80] from Operation: 88-8=80
Current State: 100:[30, 24, 80], Operations: ['88-8=80']
Exploring Operation: 30*80=2400, Resulting Numbers: [24, 2400]
Generated Node #3: [24, 2400] from Operation: 30*80=2400
Current State: 100:[24, 2400], Operations: ['88-8=80', '30*80=2400']
Exploring Operation: 2400/24=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
50,
2,
40,
1
] | 16 | [
"50/2=25",
"40+1=41",
"41-25=16"
] | Current State: 16:[50, 2, 40, 1], Operations: []
Exploring Operation: 50/2=25, Resulting Numbers: [40, 1, 25]
Generated Node #2: [40, 1, 25] from Operation: 50/2=25
Current State: 16:[40, 1, 25], Operations: ['50/2=25']
Exploring Operation: 40+1=41, Resulting Numbers: [25, 41]
Generated Node #3: [25, 41] from Operation: 40+1=41
Current State: 16:[25, 41], Operations: ['50/2=25', '40+1=41']
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
9,
86,
35,
19
] | 12 | [
"86+19=105",
"105/35=3",
"9+3=12"
] | Current State: 12:[9, 86, 35, 19], Operations: []
Exploring Operation: 86+19=105, Resulting Numbers: [9, 35, 105]
Generated Node #2: [9, 35, 105] from Operation: 86+19=105
Current State: 12:[9, 35, 105], Operations: ['86+19=105']
Exploring Operation: 105/35=3, Resulting Numbers: [9, 3]
Generated Node #3: [9, 3] from Operation: 105/35=3
Current State: 12:[9, 3], Operations: ['86+19=105', '105/35=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
23,
79,
41,
96
] | 81 | [
"79-23=56",
"41+96=137",
"137-56=81"
] | Current State: 81:[23, 79, 41, 96], Operations: []
Exploring Operation: 79-23=56, Resulting Numbers: [41, 96, 56]
Generated Node #2: [41, 96, 56] from Operation: 79-23=56
Current State: 81:[41, 96, 56], Operations: ['79-23=56']
Exploring Operation: 41+96=137, Resulting Numbers: [56, 137]
Generated Node #3: [56, 137] from Operation: 41+96=137
Current State: 81:[56, 137], Operations: ['79-23=56', '41+96=137']
Exploring Operation: 137-56=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
98,
36,
82,
43
] | 63 | [
"98-36=62",
"82+43=125",
"125-62=63"
] | Current State: 63:[98, 36, 82, 43], Operations: []
Exploring Operation: 98-36=62, Resulting Numbers: [82, 43, 62]
Generated Node #2: [82, 43, 62] from Operation: 98-36=62
Current State: 63:[82, 43, 62], Operations: ['98-36=62']
Exploring Operation: 82+43=125, Resulting Numbers: [62, 125]
Generated Node #3: [62, 125] from Operation: 82+43=125
Current State: 63:[62, 125], Operations: ['98-36=62', '82+43=125']
Exploring Operation: 125-62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
95,
35,
56,
34
] | 39 | [
"95-56=39",
"35-34=1",
"39*1=39"
] | Current State: 39:[95, 35, 56, 34], Operations: []
Exploring Operation: 95-56=39, Resulting Numbers: [35, 34, 39]
Generated Node #2: [35, 34, 39] from Operation: 95-56=39
Current State: 39:[35, 34, 39], Operations: ['95-56=39']
Exploring Operation: 35-34=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 35-34=1
Current State: 39:[39, 1], Operations: ['95-56=39', '35-34=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
2,
3,
87,
25
] | 28 | [
"87-25=62",
"62/2=31",
"31-3=28"
] | Current State: 28:[2, 3, 87, 25], Operations: []
Exploring Operation: 87-25=62, Resulting Numbers: [2, 3, 62]
Generated Node #2: [2, 3, 62] from Operation: 87-25=62
Current State: 28:[2, 3, 62], Operations: ['87-25=62']
Exploring Operation: 62/2=31, Resulting Numbers: [3, 31]
Generated Node #3: [3, 31] from Operation: 62/2=31
Current State: 28:[3, 31], Operations: ['87-25=62', '62/2=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
55,
5,
62,
20
] | 93 | [
"55/5=11",
"62+20=82",
"11+82=93"
] | Current State: 93:[55, 5, 62, 20], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [62, 20, 11]
Generated Node #2: [62, 20, 11] from Operation: 55/5=11
Current State: 93:[62, 20, 11], Operations: ['55/5=11']
Exploring Operation: 62+20=82, Resulting Numbers: [11, 82]
Generated Node #3: [11, 82] from Operation: 62+20=82
Current State: 93:[11, 82], Operations: ['55/5=11', '62+20=82']
Exploring Operation: 11+82=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
81,
83,
63,
74
] | 85 | [
"83-81=2",
"74*2=148",
"148-63=85"
] | Current State: 85:[81, 83, 63, 74], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [63, 74, 2]
Generated Node #2: [63, 74, 2] from Operation: 83-81=2
Current State: 85:[63, 74, 2], Operations: ['83-81=2']
Exploring Operation: 74*2=148, Resulting Numbers: [63, 148]
Generated Node #3: [63, 148] from Operation: 74*2=148
Current State: 85:[63, 148], Operations: ['83-81=2', '74*2=148']
Exploring Operation: 148-63=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
38,
36,
33,
30
] | 71 | [
"38+36=74",
"33-30=3",
"74-3=71"
] | Current State: 71:[38, 36, 33, 30], Operations: []
Exploring Operation: 38+36=74, Resulting Numbers: [33, 30, 74]
Generated Node #2: [33, 30, 74] from Operation: 38+36=74
Current State: 71:[33, 30, 74], Operations: ['38+36=74']
Exploring Operation: 33-30=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 33-30=3
Current State: 71:[74, 3], Operations: ['38+36=74', '33-30=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
9,
92,
69,
46
] | 13 | [
"69-46=23",
"92/23=4",
"9+4=13"
] | Current State: 13:[9, 92, 69, 46], Operations: []
Exploring Operation: 69-46=23, Resulting Numbers: [9, 92, 23]
Generated Node #2: [9, 92, 23] from Operation: 69-46=23
Current State: 13:[9, 92, 23], Operations: ['69-46=23']
Exploring Operation: 92/23=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 92/23=4
Current State: 13:[9, 4], Operations: ['69-46=23', '92/23=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
64,
19,
40,
30
] | 93 | [
"64+19=83",
"40-30=10",
"83+10=93"
] | Current State: 93:[64, 19, 40, 30], Operations: []
Exploring Operation: 64+19=83, Resulting Numbers: [40, 30, 83]
Generated Node #2: [40, 30, 83] from Operation: 64+19=83
Current State: 93:[40, 30, 83], Operations: ['64+19=83']
Exploring Operation: 40-30=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 40-30=10
Current State: 93:[83, 10], Operations: ['64+19=83', '40-30=10']
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
50,
46,
43,
65
] | 55 | [
"50*46=2300",
"65+2300=2365",
"2365/43=55"
] | Current State: 55:[50, 46, 43, 65], Operations: []
Exploring Operation: 50*46=2300, Resulting Numbers: [43, 65, 2300]
Generated Node #2: [43, 65, 2300] from Operation: 50*46=2300
Current State: 55:[43, 65, 2300], Operations: ['50*46=2300']
Exploring Operation: 65+2300=2365, Resulting Numbers: [43, 2365]
Generated Node #3: [43, 2365] from Operation: 65+2300=2365
Current State: 55:[43, 2365], Operations: ['50*46=2300', '65+2300=2365']
Exploring Operation: 2365/43=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
9,
44,
61,
62
] | 53 | [
"9+44=53",
"62-61=1",
"53*1=53"
] | Current State: 53:[9, 44, 61, 62], Operations: []
Exploring Operation: 9+44=53, Resulting Numbers: [61, 62, 53]
Generated Node #2: [61, 62, 53] from Operation: 9+44=53
Current State: 53:[61, 62, 53], Operations: ['9+44=53']
Exploring Operation: 62-61=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 62-61=1
Current State: 53:[53, 1], Operations: ['9+44=53', '62-61=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
85,
56,
2,
63
] | 51 | [
"85*2=170",
"56+63=119",
"170-119=51"
] | Current State: 51:[85, 56, 2, 63], Operations: []
Exploring Operation: 85*2=170, Resulting Numbers: [56, 63, 170]
Generated Node #2: [56, 63, 170] from Operation: 85*2=170
Current State: 51:[56, 63, 170], Operations: ['85*2=170']
Exploring Operation: 56+63=119, Resulting Numbers: [170, 119]
Generated Node #3: [170, 119] from Operation: 56+63=119
Current State: 51:[170, 119], Operations: ['85*2=170', '56+63=119']
Exploring Operation: 170-119=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
8,
26,
51,
40
] | 72 | [
"40/8=5",
"26+51=77",
"77-5=72"
] | Current State: 72:[8, 26, 51, 40], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [26, 51, 5]
Generated Node #2: [26, 51, 5] from Operation: 40/8=5
Current State: 72:[26, 51, 5], Operations: ['40/8=5']
Exploring Operation: 26+51=77, Resulting Numbers: [5, 77]
Generated Node #3: [5, 77] from Operation: 26+51=77
Current State: 72:[5, 77], Operations: ['40/8=5', '26+51=77']
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
35,
72,
60,
29
] | 13 | [
"35*72=2520",
"2520/60=42",
"42-29=13"
] | Current State: 13:[35, 72, 60, 29], Operations: []
Exploring Operation: 35*72=2520, Resulting Numbers: [60, 29, 2520]
Generated Node #2: [60, 29, 2520] from Operation: 35*72=2520
Current State: 13:[60, 29, 2520], Operations: ['35*72=2520']
Exploring Operation: 2520/60=42, Resulting Numbers: [29, 42]
Generated Node #3: [29, 42] from Operation: 2520/60=42
Current State: 13:[29, 42], Operations: ['35*72=2520', '2520/60=42']
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
54,
65,
28,
21
] | 38 | [
"65-54=11",
"28+21=49",
"49-11=38"
] | Current State: 38:[54, 65, 28, 21], Operations: []
Exploring Operation: 65-54=11, Resulting Numbers: [28, 21, 11]
Generated Node #2: [28, 21, 11] from Operation: 65-54=11
Current State: 38:[28, 21, 11], Operations: ['65-54=11']
Exploring Operation: 28+21=49, Resulting Numbers: [11, 49]
Generated Node #3: [11, 49] from Operation: 28+21=49
Current State: 38:[11, 49], Operations: ['65-54=11', '28+21=49']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
80,
95,
21,
96
] | 100 | [
"80+95=175",
"96-21=75",
"175-75=100"
] | Current State: 100:[80, 95, 21, 96], Operations: []
Exploring Operation: 80+95=175, Resulting Numbers: [21, 96, 175]
Generated Node #2: [21, 96, 175] from Operation: 80+95=175
Current State: 100:[21, 96, 175], Operations: ['80+95=175']
Exploring Operation: 96-21=75, Resulting Numbers: [175, 75]
Generated Node #3: [175, 75] from Operation: 96-21=75
Current State: 100:[175, 75], Operations: ['80+95=175', '96-21=75']
Exploring Operation: 175-75=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
71,
14,
89,
61
] | 85 | [
"71-14=57",
"89-61=28",
"57+28=85"
] | Current State: 85:[71, 14, 89, 61], Operations: []
Exploring Operation: 71-14=57, Resulting Numbers: [89, 61, 57]
Generated Node #2: [89, 61, 57] from Operation: 71-14=57
Current State: 85:[89, 61, 57], Operations: ['71-14=57']
Exploring Operation: 89-61=28, Resulting Numbers: [57, 28]
Generated Node #3: [57, 28] from Operation: 89-61=28
Current State: 85:[57, 28], Operations: ['71-14=57', '89-61=28']
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
36,
61,
65,
82
] | 73 | [
"65-61=4",
"36/4=9",
"82-9=73"
] | Current State: 73:[36, 61, 65, 82], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [36, 82, 4]
Generated Node #2: [36, 82, 4] from Operation: 65-61=4
Current State: 73:[36, 82, 4], Operations: ['65-61=4']
Exploring Operation: 36/4=9, Resulting Numbers: [82, 9]
Generated Node #3: [82, 9] from Operation: 36/4=9
Current State: 73:[82, 9], Operations: ['65-61=4', '36/4=9']
Exploring Operation: 82-9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
36,
2,
24,
88
] | 66 | [
"36/2=18",
"88*18=1584",
"1584/24=66"
] | Current State: 66:[36, 2, 24, 88], Operations: []
Exploring Operation: 36/2=18, Resulting Numbers: [24, 88, 18]
Generated Node #2: [24, 88, 18] from Operation: 36/2=18
Current State: 66:[24, 88, 18], Operations: ['36/2=18']
Exploring Operation: 88*18=1584, Resulting Numbers: [24, 1584]
Generated Node #3: [24, 1584] from Operation: 88*18=1584
Current State: 66:[24, 1584], Operations: ['36/2=18', '88*18=1584']
Exploring Operation: 1584/24=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
91,
19,
4,
82
] | 77 | [
"91+4=95",
"95/19=5",
"82-5=77"
] | Current State: 77:[91, 19, 4, 82], Operations: []
Exploring Operation: 91+4=95, Resulting Numbers: [19, 82, 95]
Generated Node #2: [19, 82, 95] from Operation: 91+4=95
Current State: 77:[19, 82, 95], Operations: ['91+4=95']
Exploring Operation: 95/19=5, Resulting Numbers: [82, 5]
Generated Node #3: [82, 5] from Operation: 95/19=5
Current State: 77:[82, 5], Operations: ['91+4=95', '95/19=5']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
50,
2,
31,
76
] | 83 | [
"76-50=26",
"2*26=52",
"31+52=83"
] | Current State: 83:[50, 2, 31, 76], Operations: []
Exploring Operation: 76-50=26, Resulting Numbers: [2, 31, 26]
Generated Node #2: [2, 31, 26] from Operation: 76-50=26
Current State: 83:[2, 31, 26], Operations: ['76-50=26']
Exploring Operation: 2*26=52, Resulting Numbers: [31, 52]
Generated Node #3: [31, 52] from Operation: 2*26=52
Current State: 83:[31, 52], Operations: ['76-50=26', '2*26=52']
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
4,
73,
33,
37
] | 81 | [
"4+73=77",
"37-33=4",
"77+4=81"
] | Current State: 81:[4, 73, 33, 37], Operations: []
Exploring Operation: 4+73=77, Resulting Numbers: [33, 37, 77]
Generated Node #2: [33, 37, 77] from Operation: 4+73=77
Current State: 81:[33, 37, 77], Operations: ['4+73=77']
Exploring Operation: 37-33=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 37-33=4
Current State: 81:[77, 4], Operations: ['4+73=77', '37-33=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
50,
58,
90,
56
] | 42 | [
"58-50=8",
"90-56=34",
"8+34=42"
] | Current State: 42:[50, 58, 90, 56], Operations: []
Exploring Operation: 58-50=8, Resulting Numbers: [90, 56, 8]
Generated Node #2: [90, 56, 8] from Operation: 58-50=8
Current State: 42:[90, 56, 8], Operations: ['58-50=8']
Exploring Operation: 90-56=34, Resulting Numbers: [8, 34]
Generated Node #3: [8, 34] from Operation: 90-56=34
Current State: 42:[8, 34], Operations: ['58-50=8', '90-56=34']
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
72,
67,
56,
97
] | 98 | [
"72+67=139",
"97-56=41",
"139-41=98"
] | Current State: 98:[72, 67, 56, 97], Operations: []
Exploring Operation: 72+67=139, Resulting Numbers: [56, 97, 139]
Generated Node #2: [56, 97, 139] from Operation: 72+67=139
Current State: 98:[56, 97, 139], Operations: ['72+67=139']
Exploring Operation: 97-56=41, Resulting Numbers: [139, 41]
Generated Node #3: [139, 41] from Operation: 97-56=41
Current State: 98:[139, 41], Operations: ['72+67=139', '97-56=41']
Exploring Operation: 139-41=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
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