nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
| search_path
stringlengths 505
16.8k
| rating
float64 0
0.99
| search_type
stringclasses 5
values | heuristic
stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
[
10,
6,
23,
78
] | 33 |
[
"78-23=55",
"6*55=330",
"330/10=33"
] |
Current State: 33:[10, 6, 23, 78], Operations: []
Exploring Operation: 78-23=55, Resulting Numbers: [10, 6, 55]
Generated Node #2: [10, 6, 55] from Operation: 78-23=55
Current State: 33:[10, 6, 55], Operations: ['78-23=55']
Exploring Operation: 6*55=330, Resulting Numbers: [10, 330]
Generated Node #3: [10, 330] from Operation: 6*55=330
Current State: 33:[10, 330], Operations: ['78-23=55', '6*55=330']
Exploring Operation: 330/10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
Current State: 33:[10, 6, 23, 78], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [10, 23, 13]
Generated Node #0,0: 33:[10, 23, 13] Operation: 78/6=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[10, 23, 13], Operations: ['78/6=13']
Exploring Operation: 10+23=33, Resulting Numbers: [13, 33]
Generated Node #0,0,0: 33:[13, 33] Operation: 10+23=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[13, 33], Operations: ['78/6=13', '10+23=33']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
49,
51,
27,
21
] | 15 |
[
"51-49=2",
"21*2=42",
"42-27=15"
] |
Current State: 15:[49, 51, 27, 21], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [27, 21, 2]
Generated Node #2: [27, 21, 2] from Operation: 51-49=2
Current State: 15:[27, 21, 2], Operations: ['51-49=2']
Exploring Operation: 21*2=42, Resulting Numbers: [27, 42]
Generated Node #3: [27, 42] from Operation: 21*2=42
Current State: 15:[27, 42], Operations: ['51-49=2', '21*2=42']
Exploring Operation: 42-27=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
Current State: 15:[49, 51, 27, 21], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [27, 21, 2]
Generated Node #0,0: 15:[27, 21, 2] Operation: 51-49=2
Exploring Operation: 49-27=22, Resulting Numbers: [51, 21, 22]
Generated Node #0,1: 15:[51, 21, 22] Operation: 49-27=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[27, 21, 2], Operations: ['51-49=2']
Exploring Operation: 27-21=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 15:[2, 6] Operation: 27-21=6
Exploring Operation: 27-2=25, Resulting Numbers: [21, 25]
Generated Node #0,0,1: 15:[21, 25] Operation: 27-2=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[2, 6], Operations: ['51-49=2', '27-21=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[21, 25], Operations: ['51-49=2', '27-2=25']
Exploring Operation: 21+25=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[51, 21, 22], Operations: ['49-27=22']
Exploring Operation: 51-21=30, Resulting Numbers: [22, 30]
Generated Node #0,1,0: 15:[22, 30] Operation: 51-21=30
Exploring Operation: 51-22=29, Resulting Numbers: [21, 29]
Generated Node #0,1,1: 15:[21, 29] Operation: 51-22=29
Moving to Node #0,1,1
Current State: 15:[21, 29], Operations: ['49-27=22', '51-22=29']
Exploring Operation: 21+29=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[22, 30], Operations: ['49-27=22', '51-21=30']
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
73,
54,
22,
75
] | 25 |
[
"73-54=19",
"22-19=3",
"75/3=25"
] |
Current State: 25:[73, 54, 22, 75], Operations: []
Exploring Operation: 73-54=19, Resulting Numbers: [22, 75, 19]
Generated Node #2: [22, 75, 19] from Operation: 73-54=19
Current State: 25:[22, 75, 19], Operations: ['73-54=19']
Exploring Operation: 22-19=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 22-19=3
Current State: 25:[75, 3], Operations: ['73-54=19', '22-19=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[73, 54, 22, 75], Operations: []
Exploring Operation: 73-54=19, Resulting Numbers: [22, 75, 19]
Generated Node #0,0: 25:[22, 75, 19] Operation: 73-54=19
Exploring Operation: 75-54=21, Resulting Numbers: [73, 22, 21]
Generated Node #0,1: 25:[73, 22, 21] Operation: 75-54=21
Exploring Operation: 75-73=2, Resulting Numbers: [54, 22, 2]
Generated Node #0,2: 25:[54, 22, 2] Operation: 75-73=2
Moving to Node #0,2
Current State: 25:[54, 22, 2], Operations: ['75-73=2']
Exploring Operation: 54/2=27, Resulting Numbers: [22, 27]
Generated Node #0,2,0: 25:[22, 27] Operation: 54/2=27
Exploring Operation: 54-2=52, Resulting Numbers: [22, 52]
Generated Node #0,2,1: 25:[22, 52] Operation: 54-2=52
Exploring Operation: 54-22=32, Resulting Numbers: [2, 32]
Generated Node #0,2,2: 25:[2, 32] Operation: 54-22=32
Moving to Node #0,1
Current State: 25:[73, 22, 21], Operations: ['75-54=21']
Exploring Operation: 73-22=51, Resulting Numbers: [21, 51]
Generated Node #0,1,0: 25:[21, 51] Operation: 73-22=51
Exploring Operation: 73-21=52, Resulting Numbers: [22, 52]
Generated Node #0,1,1: 25:[22, 52] Operation: 73-21=52
Exploring Operation: 22-21=1, Resulting Numbers: [73, 1]
Generated Node #0,1,2: 25:[73, 1] Operation: 22-21=1
Moving to Node #0,0
Current State: 25:[22, 75, 19], Operations: ['73-54=19']
Exploring Operation: 75-22=53, Resulting Numbers: [19, 53]
Generated Node #0,0,0: 25:[19, 53] Operation: 75-22=53
Exploring Operation: 75-19=56, Resulting Numbers: [22, 56]
Generated Node #0,0,1: 25:[22, 56] Operation: 75-19=56
Exploring Operation: 22-19=3, Resulting Numbers: [75, 3]
Generated Node #0,0,2: 25:[75, 3] Operation: 22-19=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[19, 53], Operations: ['73-54=19', '75-22=53']
Exploring Operation: 19*53=1007, Resulting Numbers: [1007]
1007,25 unequal: No Solution
Exploring Operation: 19+53=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[22, 56], Operations: ['73-54=19', '75-19=56']
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 22*56=1232, Resulting Numbers: [1232]
1232,25 unequal: No Solution
Exploring Operation: 22+56=78, Resulting Numbers: [78]
78,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[75, 3], Operations: ['73-54=19', '22-19=3']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[73, 54, 22, 75], Operations: []
Exploring Operation: 73-54=19, Resulting Numbers: [22, 75, 19]
Generated Node #0,0: 25:[22, 75, 19] Operation: 73-54=19
Moving to Node #0,0
Current State: 25:[22, 75, 19], Operations: ['73-54=19']
Exploring Operation: 22-19=3, Resulting Numbers: [75, 3]
Generated Node #0,0,2: 25:[75, 3] Operation: 22-19=3
Moving to Node #0,0,2
Current State: 25:[75, 3], Operations: ['73-54=19', '22-19=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 |
hs_3
|
sum_heuristic
|
[
3,
23,
12,
69
] | 21 |
[
"3*69=207",
"207/23=9",
"12+9=21"
] |
Current State: 21:[3, 23, 12, 69], Operations: []
Exploring Operation: 3*69=207, Resulting Numbers: [23, 12, 207]
Generated Node #2: [23, 12, 207] from Operation: 3*69=207
Current State: 21:[23, 12, 207], Operations: ['3*69=207']
Exploring Operation: 207/23=9, Resulting Numbers: [12, 9]
Generated Node #3: [12, 9] from Operation: 207/23=9
Current State: 21:[12, 9], Operations: ['3*69=207', '207/23=9']
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
Current State: 21:[3, 23, 12, 69], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [23, 12, 23]
Generated Node #0,0: 21:[23, 12, 23] Operation: 69/3=23
Exploring Operation: 69/23=3, Resulting Numbers: [3, 12, 3]
Generated Node #0,1: 21:[3, 12, 3] Operation: 69/23=3
Exploring Operation: 69-23=46, Resulting Numbers: [3, 12, 46]
Generated Node #0,2: 21:[3, 12, 46] Operation: 69-23=46
Moving to Node #0,1
Current State: 21:[3, 12, 3], Operations: ['69/23=3']
Exploring Operation: 12/3=4, Resulting Numbers: [3, 4]
Generated Node #0,1,0: 21:[3, 4] Operation: 12/3=4
Exploring Operation: 12-3=9, Resulting Numbers: [3, 9]
Generated Node #0,1,1: 21:[3, 9] Operation: 12-3=9
Exploring Operation: 12/3=4, Resulting Numbers: [3, 4]
Generated Node #0,1,2: 21:[3, 4] Operation: 12/3=4
Moving to Node #0,0
Current State: 21:[23, 12, 23], Operations: ['69/3=23']
Exploring Operation: 23-12=11, Resulting Numbers: [23, 11]
Generated Node #0,0,0: 21:[23, 11] Operation: 23-12=11
Exploring Operation: 23/23=1, Resulting Numbers: [12, 1]
Generated Node #0,0,1: 21:[12, 1] Operation: 23/23=1
Exploring Operation: 23-12=11, Resulting Numbers: [23, 11]
Generated Node #0,0,2: 21:[23, 11] Operation: 23-12=11
Moving to Node #0,2
Current State: 21:[3, 12, 46], Operations: ['69-23=46']
Exploring Operation: 46-12=34, Resulting Numbers: [3, 34]
Generated Node #0,2,0: 21:[3, 34] Operation: 46-12=34
Exploring Operation: 12-3=9, Resulting Numbers: [46, 9]
Generated Node #0,2,1: 21:[46, 9] Operation: 12-3=9
Exploring Operation: 12/3=4, Resulting Numbers: [46, 4]
Generated Node #0,2,2: 21:[46, 4] Operation: 12/3=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[3, 34], Operations: ['69-23=46', '46-12=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,21 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[46, 4], Operations: ['69-23=46', '12/3=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,21 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[46, 9], Operations: ['69-23=46', '12-3=9']
Exploring Operation: 46*9=414, Resulting Numbers: [414]
414,21 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 21:[3, 4], Operations: ['69/23=3', '12/3=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[3, 4], Operations: ['69/23=3', '12/3=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[3, 9], Operations: ['69/23=3', '12-3=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Moving to Node #0,0,2
Current State: 21:[23, 11], Operations: ['69/3=23', '23-12=11']
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 23*11=253, Resulting Numbers: [253]
253,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[23, 11], Operations: ['69/3=23', '23-12=11']
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 23*11=253, Resulting Numbers: [253]
253,21 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[12, 1], Operations: ['69/3=23', '23/23=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,21 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
17,
4,
2,
64
] | 39 |
[
"64-17=47",
"4*2=8",
"47-8=39"
] |
Current State: 39:[17, 4, 2, 64], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [4, 2, 47]
Generated Node #2: [4, 2, 47] from Operation: 64-17=47
Current State: 39:[4, 2, 47], Operations: ['64-17=47']
Exploring Operation: 4*2=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 4*2=8
Current State: 39:[47, 8], Operations: ['64-17=47', '4*2=8']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[17, 4, 2, 64], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [4, 2, 47]
Generated Node #0,0: 39:[4, 2, 47] Operation: 64-17=47
Exploring Operation: 64/2=32, Resulting Numbers: [17, 4, 32]
Generated Node #0,1: 39:[17, 4, 32] Operation: 64/2=32
Exploring Operation: 64/4=16, Resulting Numbers: [17, 2, 16]
Generated Node #0,2: 39:[17, 2, 16] Operation: 64/4=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[17, 2, 16], Operations: ['64/4=16']
Exploring Operation: 17-16=1, Resulting Numbers: [2, 1]
Generated Node #0,2,0: 39:[2, 1] Operation: 17-16=1
Exploring Operation: 17-2=15, Resulting Numbers: [16, 15]
Generated Node #0,2,1: 39:[16, 15] Operation: 17-2=15
Exploring Operation: 16-2=14, Resulting Numbers: [17, 14]
Generated Node #0,2,2: 39:[17, 14] Operation: 16-2=14
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 39:[2, 1], Operations: ['64/4=16', '17-16=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 39:[16, 15], Operations: ['64/4=16', '17-2=15']
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,39 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 39:[17, 14], Operations: ['64/4=16', '16-2=14']
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,39 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[4, 2, 47], Operations: ['64-17=47']
Exploring Operation: 47-4=43, Resulting Numbers: [2, 43]
Generated Node #0,0,0: 39:[2, 43] Operation: 47-4=43
Exploring Operation: 47-2=45, Resulting Numbers: [4, 45]
Generated Node #0,0,1: 39:[4, 45] Operation: 47-2=45
Exploring Operation: 4-2=2, Resulting Numbers: [47, 2]
Generated Node #0,0,2: 39:[47, 2] Operation: 4-2=2
Moving to Node #0,0,0
Current State: 39:[2, 43], Operations: ['64-17=47', '47-4=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,39 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[4, 45], Operations: ['64-17=47', '47-2=45']
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,39 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,39 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[47, 2], Operations: ['64-17=47', '4-2=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,39 unequal: No Solution
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,39 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[17, 4, 32], Operations: ['64/2=32']
Exploring Operation: 4+32=36, Resulting Numbers: [17, 36]
Generated Node #0,1,0: 39:[17, 36] Operation: 4+32=36
Exploring Operation: 17-4=13, Resulting Numbers: [32, 13]
Generated Node #0,1,1: 39:[32, 13] Operation: 17-4=13
Exploring Operation: 32-17=15, Resulting Numbers: [4, 15]
Generated Node #0,1,2: 39:[4, 15] Operation: 32-17=15
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 39:[4, 15], Operations: ['64/2=32', '32-17=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[17, 36], Operations: ['64/2=32', '4+32=36']
Exploring Operation: 17*36=612, Resulting Numbers: [612]
612,39 unequal: No Solution
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 39:[32, 13], Operations: ['64/2=32', '17-4=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 32*13=416, Resulting Numbers: [416]
416,39 unequal: No Solution
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
4,
3,
35,
83
] | 48 |
[
"4-3=1",
"83-35=48",
"1*48=48"
] |
Current State: 48:[4, 3, 35, 83], Operations: []
Exploring Operation: 4-3=1, Resulting Numbers: [35, 83, 1]
Generated Node #2: [35, 83, 1] from Operation: 4-3=1
Current State: 48:[35, 83, 1], Operations: ['4-3=1']
Exploring Operation: 83-35=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 83-35=48
Current State: 48:[1, 48], Operations: ['4-3=1', '83-35=48']
Exploring Operation: 1*48=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
Current State: 48:[4, 3, 35, 83], Operations: []
Exploring Operation: 83-4=79, Resulting Numbers: [3, 35, 79]
Generated Node #0,0: 48:[3, 35, 79] Operation: 83-4=79
Exploring Operation: 35-3=32, Resulting Numbers: [4, 83, 32]
Generated Node #0,1: 48:[4, 83, 32] Operation: 35-3=32
Exploring Operation: 83-35=48, Resulting Numbers: [4, 3, 48]
Generated Node #0,2: 48:[4, 3, 48] Operation: 83-35=48
Exploring Operation: 35-4=31, Resulting Numbers: [3, 83, 31]
Generated Node #0,3: 48:[3, 83, 31] Operation: 35-4=31
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[4, 3, 48], Operations: ['83-35=48']
Exploring Operation: 4+3=7, Resulting Numbers: [48, 7]
Generated Node #0,2,0: 48:[48, 7] Operation: 4+3=7
Exploring Operation: 48/4=12, Resulting Numbers: [3, 12]
Generated Node #0,2,1: 48:[3, 12] Operation: 48/4=12
Exploring Operation: 4*3=12, Resulting Numbers: [48, 12]
Generated Node #0,2,2: 48:[48, 12] Operation: 4*3=12
Exploring Operation: 48/3=16, Resulting Numbers: [4, 16]
Generated Node #0,2,3: 48:[4, 16] Operation: 48/3=16
Moving to Node #0,2,1
Current State: 48:[3, 12], Operations: ['83-35=48', '48/4=12']
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Moving to Node #0,2,3
Current State: 48:[4, 16], Operations: ['83-35=48', '48/3=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[48, 12], Operations: ['83-35=48', '4*3=12']
Exploring Operation: 48*12=576, Resulting Numbers: [576]
576,48 unequal: No Solution
Exploring Operation: 48+12=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Moving to Node #0,2,0
Current State: 48:[48, 7], Operations: ['83-35=48', '4+3=7']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 48*7=336, Resulting Numbers: [336]
336,48 unequal: No Solution
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[3, 35, 79], Operations: ['83-4=79']
Exploring Operation: 79-3=76, Resulting Numbers: [35, 76]
Generated Node #0,0,0: 48:[35, 76] Operation: 79-3=76
Exploring Operation: 79-35=44, Resulting Numbers: [3, 44]
Generated Node #0,0,1: 48:[3, 44] Operation: 79-35=44
Exploring Operation: 35-3=32, Resulting Numbers: [79, 32]
Generated Node #0,0,2: 48:[79, 32] Operation: 35-3=32
Exploring Operation: 3+35=38, Resulting Numbers: [79, 38]
Generated Node #0,0,3: 48:[79, 38] Operation: 3+35=38
Moving to Node #0,0,1
Current State: 48:[3, 44], Operations: ['83-4=79', '79-35=44']
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 3*44=132, Resulting Numbers: [132]
132,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[79, 32], Operations: ['83-4=79', '35-3=32']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 79+32=111, Resulting Numbers: [111]
111,48 unequal: No Solution
Exploring Operation: 79*32=2528, Resulting Numbers: [2528]
2528,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[35, 76], Operations: ['83-4=79', '79-3=76']
Exploring Operation: 35+76=111, Resulting Numbers: [111]
111,48 unequal: No Solution
Exploring Operation: 35*76=2660, Resulting Numbers: [2660]
2660,48 unequal: No Solution
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[79, 38], Operations: ['83-4=79', '3+35=38']
Exploring Operation: 79*38=3002, Resulting Numbers: [3002]
3002,48 unequal: No Solution
Exploring Operation: 79+38=117, Resulting Numbers: [117]
117,48 unequal: No Solution
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 48:[3, 83, 31], Operations: ['35-4=31']
Exploring Operation: 3+83=86, Resulting Numbers: [31, 86]
Generated Node #0,3,0: 48:[31, 86] Operation: 3+83=86
Exploring Operation: 83-31=52, Resulting Numbers: [3, 52]
Generated Node #0,3,1: 48:[3, 52] Operation: 83-31=52
Exploring Operation: 31-3=28, Resulting Numbers: [83, 28]
Generated Node #0,3,2: 48:[83, 28] Operation: 31-3=28
Exploring Operation: 83-3=80, Resulting Numbers: [31, 80]
Generated Node #0,3,3: 48:[31, 80] Operation: 83-3=80
Moving to Node #0,3,1
Current State: 48:[3, 52], Operations: ['35-4=31', '83-31=52']
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,48 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[31, 80], Operations: ['35-4=31', '83-3=80']
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 31+80=111, Resulting Numbers: [111]
111,48 unequal: No Solution
Exploring Operation: 31*80=2480, Resulting Numbers: [2480]
2480,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[83, 28], Operations: ['35-4=31', '31-3=28']
Exploring Operation: 83+28=111, Resulting Numbers: [111]
111,48 unequal: No Solution
Exploring Operation: 83*28=2324, Resulting Numbers: [2324]
2324,48 unequal: No Solution
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Moving to Node #0,3,0
Current State: 48:[31, 86], Operations: ['35-4=31', '3+83=86']
Exploring Operation: 86-31=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 31+86=117, Resulting Numbers: [117]
117,48 unequal: No Solution
Exploring Operation: 31*86=2666, Resulting Numbers: [2666]
2666,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[4, 83, 32], Operations: ['35-3=32']
Exploring Operation: 83-4=79, Resulting Numbers: [32, 79]
Generated Node #0,1,0: 48:[32, 79] Operation: 83-4=79
Exploring Operation: 32/4=8, Resulting Numbers: [83, 8]
Generated Node #0,1,1: 48:[83, 8] Operation: 32/4=8
Exploring Operation: 83-32=51, Resulting Numbers: [4, 51]
Generated Node #0,1,2: 48:[4, 51] Operation: 83-32=51
Exploring Operation: 32-4=28, Resulting Numbers: [83, 28]
Generated Node #0,1,3: 48:[83, 28] Operation: 32-4=28
Moving to Node #0,1,2
Current State: 48:[4, 51], Operations: ['35-3=32', '83-32=51']
Exploring Operation: 4*51=204, Resulting Numbers: [204]
204,48 unequal: No Solution
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[83, 8], Operations: ['35-3=32', '32/4=8']
Exploring Operation: 83*8=664, Resulting Numbers: [664]
664,48 unequal: No Solution
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,48 unequal: No Solution
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[83, 28], Operations: ['35-3=32', '32-4=28']
Exploring Operation: 83*28=2324, Resulting Numbers: [2324]
2324,48 unequal: No Solution
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 83+28=111, Resulting Numbers: [111]
111,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[32, 79], Operations: ['35-3=32', '83-4=79']
Exploring Operation: 32+79=111, Resulting Numbers: [111]
111,48 unequal: No Solution
Exploring Operation: 32*79=2528, Resulting Numbers: [2528]
2528,48 unequal: No Solution
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
1,
88,
45,
2
] | 87 |
[
"88-45=43",
"2*43=86",
"1+86=87"
] |
Current State: 87:[1, 88, 45, 2], Operations: []
Exploring Operation: 88-45=43, Resulting Numbers: [1, 2, 43]
Generated Node #2: [1, 2, 43] from Operation: 88-45=43
Current State: 87:[1, 2, 43], Operations: ['88-45=43']
Exploring Operation: 2*43=86, Resulting Numbers: [1, 86]
Generated Node #3: [1, 86] from Operation: 2*43=86
Current State: 87:[1, 86], Operations: ['88-45=43', '2*43=86']
Exploring Operation: 1+86=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Current State: 87:[1, 88, 45, 2], Operations: []
Exploring Operation: 45*2=90, Resulting Numbers: [1, 88, 90]
Generated Node #0,0: 87:[1, 88, 90] Operation: 45*2=90
Exploring Operation: 88-1=87, Resulting Numbers: [45, 2, 87]
Generated Node #0,1: 87:[45, 2, 87] Operation: 88-1=87
Exploring Operation: 45-1=44, Resulting Numbers: [88, 2, 44]
Generated Node #0,2: 87:[88, 2, 44] Operation: 45-1=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[1, 88, 90], Operations: ['45*2=90']
Exploring Operation: 88-1=87, Resulting Numbers: [90, 87]
Generated Node #0,0,0: 87:[90, 87] Operation: 88-1=87
Exploring Operation: 90-88=2, Resulting Numbers: [1, 2]
Generated Node #0,0,1: 87:[1, 2] Operation: 90-88=2
Exploring Operation: 90-1=89, Resulting Numbers: [88, 89]
Generated Node #0,0,2: 87:[88, 89] Operation: 90-1=89
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[90, 87], Operations: ['45*2=90', '88-1=87']
Exploring Operation: 90+87=177, Resulting Numbers: [177]
177,87 unequal: No Solution
Exploring Operation: 90*87=7830, Resulting Numbers: [7830]
7830,87 unequal: No Solution
Exploring Operation: 90-87=3, Resulting Numbers: [3]
3,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[1, 2], Operations: ['45*2=90', '90-88=2']
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 87:[88, 89], Operations: ['45*2=90', '90-1=89']
Exploring Operation: 88*89=7832, Resulting Numbers: [7832]
7832,87 unequal: No Solution
Exploring Operation: 88+89=177, Resulting Numbers: [177]
177,87 unequal: No Solution
Exploring Operation: 89-88=1, Resulting Numbers: [1]
1,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[45, 2, 87], Operations: ['88-1=87']
Exploring Operation: 45*2=90, Resulting Numbers: [87, 90]
Generated Node #0,1,0: 87:[87, 90] Operation: 45*2=90
Exploring Operation: 45-2=43, Resulting Numbers: [87, 43]
Generated Node #0,1,1: 87:[87, 43] Operation: 45-2=43
Exploring Operation: 87-45=42, Resulting Numbers: [2, 42]
Generated Node #0,1,2: 87:[2, 42] Operation: 87-45=42
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[87, 90], Operations: ['88-1=87', '45*2=90']
Exploring Operation: 87*90=7830, Resulting Numbers: [7830]
7830,87 unequal: No Solution
Exploring Operation: 90-87=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 87+90=177, Resulting Numbers: [177]
177,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[87, 43], Operations: ['88-1=87', '45-2=43']
Exploring Operation: 87-43=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 87*43=3741, Resulting Numbers: [3741]
3741,87 unequal: No Solution
Exploring Operation: 87+43=130, Resulting Numbers: [130]
130,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 87:[2, 42], Operations: ['88-1=87', '87-45=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,87 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,87 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[88, 2, 44], Operations: ['45-1=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88, 88]
Generated Node #0,2,0: 87:[88, 88] Operation: 2*44=88
Exploring Operation: 44/2=22, Resulting Numbers: [88, 22]
Generated Node #0,2,1: 87:[88, 22] Operation: 44/2=22
Exploring Operation: 88/44=2, Resulting Numbers: [2, 2]
Generated Node #0,2,2: 87:[2, 2] Operation: 88/44=2
Moving to Node #0,2,0
Current State: 87:[88, 88], Operations: ['45-1=44', '2*44=88']
Exploring Operation: 88+88=176, Resulting Numbers: [176]
176,87 unequal: No Solution
Exploring Operation: 88/88=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 88-88=0, Resulting Numbers: [0]
0,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[2, 2], Operations: ['45-1=44', '88/44=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[88, 22], Operations: ['45-1=44', '44/2=22']
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 88+22=110, Resulting Numbers: [110]
110,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
26,
5,
44,
30
] | 24 |
[
"44-26=18",
"30/5=6",
"18+6=24"
] |
Current State: 24:[26, 5, 44, 30], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [5, 30, 18]
Generated Node #2: [5, 30, 18] from Operation: 44-26=18
Current State: 24:[5, 30, 18], Operations: ['44-26=18']
Exploring Operation: 30/5=6, Resulting Numbers: [18, 6]
Generated Node #3: [18, 6] from Operation: 30/5=6
Current State: 24:[18, 6], Operations: ['44-26=18', '30/5=6']
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
Current State: 24:[26, 5, 44, 30], Operations: []
Exploring Operation: 44-30=14, Resulting Numbers: [26, 5, 14]
Generated Node #0,0: 24:[26, 5, 14] Operation: 44-30=14
Moving to Node #0,0
Current State: 24:[26, 5, 14], Operations: ['44-30=14']
Exploring Operation: 26-14=12, Resulting Numbers: [5, 12]
Generated Node #0,0,0: 24:[5, 12] Operation: 26-14=12
Moving to Node #0,0,0
Current State: 24:[5, 12], Operations: ['44-30=14', '26-14=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,24 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
36,
93,
88,
42
] | 56 |
[
"36+88=124",
"42*124=5208",
"5208/93=56"
] |
Current State: 56:[36, 93, 88, 42], Operations: []
Exploring Operation: 36+88=124, Resulting Numbers: [93, 42, 124]
Generated Node #2: [93, 42, 124] from Operation: 36+88=124
Current State: 56:[93, 42, 124], Operations: ['36+88=124']
Exploring Operation: 42*124=5208, Resulting Numbers: [93, 5208]
Generated Node #3: [93, 5208] from Operation: 42*124=5208
Current State: 56:[93, 5208], Operations: ['36+88=124', '42*124=5208']
Exploring Operation: 5208/93=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
Current State: 56:[36, 93, 88, 42], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [36, 42, 5]
Generated Node #0,0: 56:[36, 42, 5] Operation: 93-88=5
Exploring Operation: 88-42=46, Resulting Numbers: [36, 93, 46]
Generated Node #0,1: 56:[36, 93, 46] Operation: 88-42=46
Exploring Operation: 93-42=51, Resulting Numbers: [36, 88, 51]
Generated Node #0,2: 56:[36, 88, 51] Operation: 93-42=51
Exploring Operation: 93-36=57, Resulting Numbers: [88, 42, 57]
Generated Node #0,3: 56:[88, 42, 57] Operation: 93-36=57
Exploring Operation: 88-36=52, Resulting Numbers: [93, 42, 52]
Generated Node #0,4: 56:[93, 42, 52] Operation: 88-36=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[36, 42, 5], Operations: ['93-88=5']
Exploring Operation: 36+42=78, Resulting Numbers: [5, 78]
Generated Node #0,0,0: 56:[5, 78] Operation: 36+42=78
Exploring Operation: 42+5=47, Resulting Numbers: [36, 47]
Generated Node #0,0,1: 56:[36, 47] Operation: 42+5=47
Exploring Operation: 42-5=37, Resulting Numbers: [36, 37]
Generated Node #0,0,2: 56:[36, 37] Operation: 42-5=37
Exploring Operation: 36-5=31, Resulting Numbers: [42, 31]
Generated Node #0,0,3: 56:[42, 31] Operation: 36-5=31
Exploring Operation: 42-36=6, Resulting Numbers: [5, 6]
Generated Node #0,0,4: 56:[5, 6] Operation: 42-36=6
Moving to Node #0,0,4
Current State: 56:[5, 6], Operations: ['93-88=5', '42-36=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[36, 37], Operations: ['93-88=5', '42-5=37']
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,56 unequal: No Solution
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[36, 47], Operations: ['93-88=5', '42+5=47']
Exploring Operation: 36+47=83, Resulting Numbers: [83]
83,56 unequal: No Solution
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 36*47=1692, Resulting Numbers: [1692]
1692,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[42, 31], Operations: ['93-88=5', '36-5=31']
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 42+31=73, Resulting Numbers: [73]
73,56 unequal: No Solution
Exploring Operation: 42*31=1302, Resulting Numbers: [1302]
1302,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[5, 78], Operations: ['93-88=5', '36+42=78']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,56 unequal: No Solution
Exploring Operation: 5+78=83, Resulting Numbers: [83]
83,56 unequal: No Solution
Exploring Operation: 5*78=390, Resulting Numbers: [390]
390,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[36, 88, 51], Operations: ['93-42=51']
Exploring Operation: 36+51=87, Resulting Numbers: [88, 87]
Generated Node #0,2,0: 56:[88, 87] Operation: 36+51=87
Exploring Operation: 88-36=52, Resulting Numbers: [51, 52]
Generated Node #0,2,1: 56:[51, 52] Operation: 88-36=52
Exploring Operation: 88-51=37, Resulting Numbers: [36, 37]
Generated Node #0,2,2: 56:[36, 37] Operation: 88-51=37
Exploring Operation: 51-36=15, Resulting Numbers: [88, 15]
Generated Node #0,2,3: 56:[88, 15] Operation: 51-36=15
Exploring Operation: 36+88=124, Resulting Numbers: [51, 124]
Generated Node #0,2,4: 56:[51, 124] Operation: 36+88=124
Moving to Node #0,2,1
Current State: 56:[51, 52], Operations: ['93-42=51', '88-36=52']
Exploring Operation: 51*52=2652, Resulting Numbers: [2652]
2652,56 unequal: No Solution
Exploring Operation: 51+52=103, Resulting Numbers: [103]
103,56 unequal: No Solution
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[36, 37], Operations: ['93-42=51', '88-51=37']
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,56 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[88, 15], Operations: ['93-42=51', '51-36=15']
Exploring Operation: 88+15=103, Resulting Numbers: [103]
103,56 unequal: No Solution
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,56 unequal: No Solution
Exploring Operation: 88*15=1320, Resulting Numbers: [1320]
1320,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[88, 87], Operations: ['93-42=51', '36+51=87']
Exploring Operation: 88+87=175, Resulting Numbers: [175]
175,56 unequal: No Solution
Exploring Operation: 88*87=7656, Resulting Numbers: [7656]
7656,56 unequal: No Solution
Exploring Operation: 88-87=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Moving to Node #0,2,4
Current State: 56:[51, 124], Operations: ['93-42=51', '36+88=124']
Exploring Operation: 51*124=6324, Resulting Numbers: [6324]
6324,56 unequal: No Solution
Exploring Operation: 124-51=73, Resulting Numbers: [73]
73,56 unequal: No Solution
Exploring Operation: 51+124=175, Resulting Numbers: [175]
175,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[88, 42, 57], Operations: ['93-36=57']
Exploring Operation: 88-42=46, Resulting Numbers: [57, 46]
Generated Node #0,3,0: 56:[57, 46] Operation: 88-42=46
Exploring Operation: 57-42=15, Resulting Numbers: [88, 15]
Generated Node #0,3,1: 56:[88, 15] Operation: 57-42=15
Exploring Operation: 88+42=130, Resulting Numbers: [57, 130]
Generated Node #0,3,2: 56:[57, 130] Operation: 88+42=130
Exploring Operation: 88-57=31, Resulting Numbers: [42, 31]
Generated Node #0,3,3: 56:[42, 31] Operation: 88-57=31
Exploring Operation: 42+57=99, Resulting Numbers: [88, 99]
Generated Node #0,3,4: 56:[88, 99] Operation: 42+57=99
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 56:[57, 46], Operations: ['93-36=57', '88-42=46']
Exploring Operation: 57+46=103, Resulting Numbers: [103]
103,56 unequal: No Solution
Exploring Operation: 57*46=2622, Resulting Numbers: [2622]
2622,56 unequal: No Solution
Exploring Operation: 57-46=11, Resulting Numbers: [11]
11,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 56:[42, 31], Operations: ['93-36=57', '88-57=31']
Exploring Operation: 42+31=73, Resulting Numbers: [73]
73,56 unequal: No Solution
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 42*31=1302, Resulting Numbers: [1302]
1302,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 56:[88, 15], Operations: ['93-36=57', '57-42=15']
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,56 unequal: No Solution
Exploring Operation: 88+15=103, Resulting Numbers: [103]
103,56 unequal: No Solution
Exploring Operation: 88*15=1320, Resulting Numbers: [1320]
1320,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 56:[57, 130], Operations: ['93-36=57', '88+42=130']
Exploring Operation: 130-57=73, Resulting Numbers: [73]
73,56 unequal: No Solution
Exploring Operation: 57*130=7410, Resulting Numbers: [7410]
7410,56 unequal: No Solution
Exploring Operation: 57+130=187, Resulting Numbers: [187]
187,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 56:[88, 99], Operations: ['93-36=57', '42+57=99']
Exploring Operation: 99-88=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 88*99=8712, Resulting Numbers: [8712]
8712,56 unequal: No Solution
Exploring Operation: 88+99=187, Resulting Numbers: [187]
187,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[36, 93, 46], Operations: ['88-42=46']
Exploring Operation: 36+46=82, Resulting Numbers: [93, 82]
Generated Node #0,1,0: 56:[93, 82] Operation: 36+46=82
Exploring Operation: 46-36=10, Resulting Numbers: [93, 10]
Generated Node #0,1,1: 56:[93, 10] Operation: 46-36=10
Exploring Operation: 93-46=47, Resulting Numbers: [36, 47]
Generated Node #0,1,2: 56:[36, 47] Operation: 93-46=47
Exploring Operation: 93-36=57, Resulting Numbers: [46, 57]
Generated Node #0,1,3: 56:[46, 57] Operation: 93-36=57
Exploring Operation: 36+93=129, Resulting Numbers: [46, 129]
Generated Node #0,1,4: 56:[46, 129] Operation: 36+93=129
Moving to Node #0,1,3
Current State: 56:[46, 57], Operations: ['88-42=46', '93-36=57']
Exploring Operation: 46+57=103, Resulting Numbers: [103]
103,56 unequal: No Solution
Exploring Operation: 46*57=2622, Resulting Numbers: [2622]
2622,56 unequal: No Solution
Exploring Operation: 57-46=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[36, 47], Operations: ['88-42=46', '93-46=47']
Exploring Operation: 36*47=1692, Resulting Numbers: [1692]
1692,56 unequal: No Solution
Exploring Operation: 36+47=83, Resulting Numbers: [83]
83,56 unequal: No Solution
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[93, 10], Operations: ['88-42=46', '46-36=10']
Exploring Operation: 93*10=930, Resulting Numbers: [930]
930,56 unequal: No Solution
Exploring Operation: 93+10=103, Resulting Numbers: [103]
103,56 unequal: No Solution
Exploring Operation: 93-10=83, Resulting Numbers: [83]
83,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[93, 82], Operations: ['88-42=46', '36+46=82']
Exploring Operation: 93+82=175, Resulting Numbers: [175]
175,56 unequal: No Solution
Exploring Operation: 93-82=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 93*82=7626, Resulting Numbers: [7626]
7626,56 unequal: No Solution
Moving to Node #0,1,4
Current State: 56:[46, 129], Operations: ['88-42=46', '36+93=129']
Exploring Operation: 46+129=175, Resulting Numbers: [175]
175,56 unequal: No Solution
Exploring Operation: 46*129=5934, Resulting Numbers: [5934]
5934,56 unequal: No Solution
Exploring Operation: 129-46=83, Resulting Numbers: [83]
83,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 56:[93, 42, 52], Operations: ['88-36=52']
Exploring Operation: 52-42=10, Resulting Numbers: [93, 10]
Generated Node #0,4,0: 56:[93, 10] Operation: 52-42=10
Exploring Operation: 93-42=51, Resulting Numbers: [52, 51]
Generated Node #0,4,1: 56:[52, 51] Operation: 93-42=51
Exploring Operation: 42+52=94, Resulting Numbers: [93, 94]
Generated Node #0,4,2: 56:[93, 94] Operation: 42+52=94
Exploring Operation: 93-52=41, Resulting Numbers: [42, 41]
Generated Node #0,4,3: 56:[42, 41] Operation: 93-52=41
Exploring Operation: 93+42=135, Resulting Numbers: [52, 135]
Generated Node #0,4,4: 56:[52, 135] Operation: 93+42=135
Moving to Node #0,4,1
Current State: 56:[52, 51], Operations: ['88-36=52', '93-42=51']
Exploring Operation: 52+51=103, Resulting Numbers: [103]
103,56 unequal: No Solution
Exploring Operation: 52*51=2652, Resulting Numbers: [2652]
2652,56 unequal: No Solution
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Moving to Node #0,4,3
Current State: 56:[42, 41], Operations: ['88-36=52', '93-52=41']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,56 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,56 unequal: No Solution
Moving to Node #0,4,0
Current State: 56:[93, 10], Operations: ['88-36=52', '52-42=10']
Exploring Operation: 93+10=103, Resulting Numbers: [103]
103,56 unequal: No Solution
Exploring Operation: 93-10=83, Resulting Numbers: [83]
83,56 unequal: No Solution
Exploring Operation: 93*10=930, Resulting Numbers: [930]
930,56 unequal: No Solution
Moving to Node #0,4,2
Current State: 56:[93, 94], Operations: ['88-36=52', '42+52=94']
Exploring Operation: 94-93=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 93*94=8742, Resulting Numbers: [8742]
8742,56 unequal: No Solution
Exploring Operation: 93+94=187, Resulting Numbers: [187]
187,56 unequal: No Solution
Moving to Node #0,4,4
Current State: 56:[52, 135], Operations: ['88-36=52', '93+42=135']
Exploring Operation: 135-52=83, Resulting Numbers: [83]
83,56 unequal: No Solution
Exploring Operation: 52*135=7020, Resulting Numbers: [7020]
7020,56 unequal: No Solution
Exploring Operation: 52+135=187, Resulting Numbers: [187]
187,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
3,
8,
16,
40
] | 33 |
[
"40/8=5",
"16-5=11",
"3*11=33"
] |
Current State: 33:[3, 8, 16, 40], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [3, 16, 5]
Generated Node #2: [3, 16, 5] from Operation: 40/8=5
Current State: 33:[3, 16, 5], Operations: ['40/8=5']
Exploring Operation: 16-5=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 16-5=11
Current State: 33:[3, 11], Operations: ['40/8=5', '16-5=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
Current State: 33:[3, 8, 16, 40], Operations: []
Exploring Operation: 40-8=32, Resulting Numbers: [3, 16, 32]
Generated Node #0,0: 33:[3, 16, 32] Operation: 40-8=32
Moving to Node #0,0
Current State: 33:[3, 16, 32], Operations: ['40-8=32']
Exploring Operation: 32/16=2, Resulting Numbers: [3, 2]
Generated Node #0,0,0: 33:[3, 2] Operation: 32/16=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[3, 2], Operations: ['40-8=32', '32/16=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
38,
4,
65,
8
] | 95 |
[
"38*4=152",
"65-8=57",
"152-57=95"
] |
Current State: 95:[38, 4, 65, 8], Operations: []
Exploring Operation: 38*4=152, Resulting Numbers: [65, 8, 152]
Generated Node #2: [65, 8, 152] from Operation: 38*4=152
Current State: 95:[65, 8, 152], Operations: ['38*4=152']
Exploring Operation: 65-8=57, Resulting Numbers: [152, 57]
Generated Node #3: [152, 57] from Operation: 65-8=57
Current State: 95:[152, 57], Operations: ['38*4=152', '65-8=57']
Exploring Operation: 152-57=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[38, 4, 65, 8], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [4, 65, 30]
Generated Node #0,0: 95:[4, 65, 30] Operation: 38-8=30
Exploring Operation: 65-38=27, Resulting Numbers: [4, 8, 27]
Generated Node #0,1: 95:[4, 8, 27] Operation: 65-38=27
Exploring Operation: 38+65=103, Resulting Numbers: [4, 8, 103]
Generated Node #0,2: 95:[4, 8, 103] Operation: 38+65=103
Moving to Node #0,1
Current State: 95:[4, 8, 27], Operations: ['65-38=27']
Exploring Operation: 8-4=4, Resulting Numbers: [27, 4]
Generated Node #0,1,0: 95:[27, 4] Operation: 8-4=4
Exploring Operation: 27-4=23, Resulting Numbers: [8, 23]
Generated Node #0,1,1: 95:[8, 23] Operation: 27-4=23
Exploring Operation: 27-8=19, Resulting Numbers: [4, 19]
Generated Node #0,1,2: 95:[4, 19] Operation: 27-8=19
Moving to Node #0,2
Current State: 95:[4, 8, 103], Operations: ['38+65=103']
Exploring Operation: 103-8=95, Resulting Numbers: [4, 95]
Generated Node #0,2,0: 95:[4, 95] Operation: 103-8=95
Exploring Operation: 103-4=99, Resulting Numbers: [8, 99]
Generated Node #0,2,1: 95:[8, 99] Operation: 103-4=99
Exploring Operation: 8-4=4, Resulting Numbers: [103, 4]
Generated Node #0,2,2: 95:[103, 4] Operation: 8-4=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[4, 95], Operations: ['38+65=103', '103-8=95']
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,95 unequal: No Solution
Exploring Operation: 4*95=380, Resulting Numbers: [380]
380,95 unequal: No Solution
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[8, 99], Operations: ['38+65=103', '103-4=99']
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 8+99=107, Resulting Numbers: [107]
107,95 unequal: No Solution
Exploring Operation: 8*99=792, Resulting Numbers: [792]
792,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[103, 4], Operations: ['38+65=103', '8-4=4']
Exploring Operation: 103+4=107, Resulting Numbers: [107]
107,95 unequal: No Solution
Exploring Operation: 103*4=412, Resulting Numbers: [412]
412,95 unequal: No Solution
Exploring Operation: 103-4=99, Resulting Numbers: [99]
99,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 95:[4, 65, 30], Operations: ['38-8=30']
Exploring Operation: 65+30=95, Resulting Numbers: [4, 95]
Generated Node #0,0,0: 95:[4, 95] Operation: 65+30=95
Exploring Operation: 65-30=35, Resulting Numbers: [4, 35]
Generated Node #0,0,1: 95:[4, 35] Operation: 65-30=35
Exploring Operation: 4+65=69, Resulting Numbers: [30, 69]
Generated Node #0,0,2: 95:[30, 69] Operation: 4+65=69
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[4, 95], Operations: ['38-8=30', '65+30=95']
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,95 unequal: No Solution
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 4*95=380, Resulting Numbers: [380]
380,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[4, 35], Operations: ['38-8=30', '65-30=35']
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,95 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[30, 69], Operations: ['38-8=30', '4+65=69']
Exploring Operation: 30*69=2070, Resulting Numbers: [2070]
2070,95 unequal: No Solution
Exploring Operation: 69-30=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 30+69=99, Resulting Numbers: [99]
99,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 95:[4, 19], Operations: ['65-38=27', '27-8=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[8, 23], Operations: ['65-38=27', '27-4=23']
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,95 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[27, 4], Operations: ['65-38=27', '8-4=4']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,95 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
9,
72,
49,
10
] | 24 |
[
"72-9=63",
"49-10=39",
"63-39=24"
] |
Current State: 24:[9, 72, 49, 10], Operations: []
Exploring Operation: 72-9=63, Resulting Numbers: [49, 10, 63]
Generated Node #2: [49, 10, 63] from Operation: 72-9=63
Current State: 24:[49, 10, 63], Operations: ['72-9=63']
Exploring Operation: 49-10=39, Resulting Numbers: [63, 39]
Generated Node #3: [63, 39] from Operation: 49-10=39
Current State: 24:[63, 39], Operations: ['72-9=63', '49-10=39']
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
Current State: 24:[9, 72, 49, 10], Operations: []
Exploring Operation: 72/9=8, Resulting Numbers: [49, 10, 8]
Generated Node #0,0: 24:[49, 10, 8] Operation: 72/9=8
Exploring Operation: 72-49=23, Resulting Numbers: [9, 10, 23]
Generated Node #0,1: 24:[9, 10, 23] Operation: 72-49=23
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[9, 10, 23], Operations: ['72-49=23']
Exploring Operation: 23-10=13, Resulting Numbers: [9, 13]
Generated Node #0,1,0: 24:[9, 13] Operation: 23-10=13
Exploring Operation: 10-9=1, Resulting Numbers: [23, 1]
Generated Node #0,1,1: 24:[23, 1] Operation: 10-9=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 24:[9, 13], Operations: ['72-49=23', '23-10=13']
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 24:[23, 1], Operations: ['72-49=23', '10-9=1']
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[9, 72, 49, 10], Operations: []
Exploring Operation: 72-49=23, Resulting Numbers: [9, 10, 23]
Generated Node #0,1: 24:[9, 10, 23] Operation: 72-49=23
Moving to Node #0,1
Current State: 24:[9, 10, 23], Operations: ['72-49=23']
Exploring Operation: 10-9=1, Resulting Numbers: [23, 1]
Generated Node #0,1,1: 24:[23, 1] Operation: 10-9=1
Moving to Node #0,1,1
Current State: 24:[23, 1], Operations: ['72-49=23', '10-9=1']
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 |
hs_2
|
mult_heuristic
|
[
46,
18,
70,
64
] | 71 |
[
"46+18=64",
"64/64=1",
"70+1=71"
] |
Current State: 71:[46, 18, 70, 64], Operations: []
Exploring Operation: 46+18=64, Resulting Numbers: [70, 64, 64]
Generated Node #2: [70, 64, 64] from Operation: 46+18=64
Current State: 71:[70, 64, 64], Operations: ['46+18=64']
Exploring Operation: 64/64=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 64/64=1
Current State: 71:[70, 1], Operations: ['46+18=64', '64/64=1']
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
Current State: 71:[46, 18, 70, 64], Operations: []
Exploring Operation: 46+18=64, Resulting Numbers: [70, 64, 64]
Generated Node #0,0: 71:[70, 64, 64] Operation: 46+18=64
Moving to Node #0,0
Current State: 71:[70, 64, 64], Operations: ['46+18=64']
Exploring Operation: 64+64=128, Resulting Numbers: [70, 128]
Generated Node #0,0,0: 71:[70, 128] Operation: 64+64=128
Moving to Node #0,0,0
Current State: 71:[70, 128], Operations: ['46+18=64', '64+64=128']
Exploring Operation: 128-70=58, Resulting Numbers: [58]
58,71 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
47,
55,
24,
41
] | 92 |
[
"55*41=2255",
"2255-47=2208",
"2208/24=92"
] |
Current State: 92:[47, 55, 24, 41], Operations: []
Exploring Operation: 55*41=2255, Resulting Numbers: [47, 24, 2255]
Generated Node #2: [47, 24, 2255] from Operation: 55*41=2255
Current State: 92:[47, 24, 2255], Operations: ['55*41=2255']
Exploring Operation: 2255-47=2208, Resulting Numbers: [24, 2208]
Generated Node #3: [24, 2208] from Operation: 2255-47=2208
Current State: 92:[24, 2208], Operations: ['55*41=2255', '2255-47=2208']
Exploring Operation: 2208/24=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[47, 55, 24, 41], Operations: []
Exploring Operation: 55+41=96, Resulting Numbers: [47, 24, 96]
Generated Node #0,0: 92:[47, 24, 96] Operation: 55+41=96
Moving to Node #0,0
Current State: 92:[47, 24, 96], Operations: ['55+41=96']
Exploring Operation: 96/24=4, Resulting Numbers: [47, 4]
Generated Node #0,0,0: 92:[47, 4] Operation: 96/24=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[47, 4], Operations: ['55+41=96', '96/24=4']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
2,
31,
54,
96
] | 44 |
[
"54+96=150",
"150/2=75",
"75-31=44"
] |
Current State: 44:[2, 31, 54, 96], Operations: []
Exploring Operation: 54+96=150, Resulting Numbers: [2, 31, 150]
Generated Node #2: [2, 31, 150] from Operation: 54+96=150
Current State: 44:[2, 31, 150], Operations: ['54+96=150']
Exploring Operation: 150/2=75, Resulting Numbers: [31, 75]
Generated Node #3: [31, 75] from Operation: 150/2=75
Current State: 44:[31, 75], Operations: ['54+96=150', '150/2=75']
Exploring Operation: 75-31=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
Current State: 44:[2, 31, 54, 96], Operations: []
Exploring Operation: 96-54=42, Resulting Numbers: [2, 31, 42]
Generated Node #0,0: 44:[2, 31, 42] Operation: 96-54=42
Exploring Operation: 96/2=48, Resulting Numbers: [31, 54, 48]
Generated Node #0,1: 44:[31, 54, 48] Operation: 96/2=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[2, 31, 42], Operations: ['96-54=42']
Exploring Operation: 31-2=29, Resulting Numbers: [42, 29]
Generated Node #0,0,0: 44:[42, 29] Operation: 31-2=29
Exploring Operation: 42-31=11, Resulting Numbers: [2, 11]
Generated Node #0,0,1: 44:[2, 11] Operation: 42-31=11
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 44:[2, 11], Operations: ['96-54=42', '42-31=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[42, 29], Operations: ['96-54=42', '31-2=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[31, 54, 48], Operations: ['96/2=48']
Exploring Operation: 54-48=6, Resulting Numbers: [31, 6]
Generated Node #0,1,0: 44:[31, 6] Operation: 54-48=6
Exploring Operation: 54-31=23, Resulting Numbers: [48, 23]
Generated Node #0,1,1: 44:[48, 23] Operation: 54-31=23
Moving to Node #0,1,1
Current State: 44:[48, 23], Operations: ['96/2=48', '54-31=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[31, 6], Operations: ['96/2=48', '54-48=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,44 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
86,
22,
76,
2
] | 72 |
[
"86+2=88",
"88/22=4",
"76-4=72"
] |
Current State: 72:[86, 22, 76, 2], Operations: []
Exploring Operation: 86+2=88, Resulting Numbers: [22, 76, 88]
Generated Node #2: [22, 76, 88] from Operation: 86+2=88
Current State: 72:[22, 76, 88], Operations: ['86+2=88']
Exploring Operation: 88/22=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 88/22=4
Current State: 72:[76, 4], Operations: ['86+2=88', '88/22=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[86, 22, 76, 2], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [22, 76, 43]
Generated Node #0,0: 72:[22, 76, 43] Operation: 86/2=43
Exploring Operation: 22+2=24, Resulting Numbers: [86, 76, 24]
Generated Node #0,1: 72:[86, 76, 24] Operation: 22+2=24
Exploring Operation: 86-2=84, Resulting Numbers: [22, 76, 84]
Generated Node #0,2: 72:[22, 76, 84] Operation: 86-2=84
Exploring Operation: 86-76=10, Resulting Numbers: [22, 2, 10]
Generated Node #0,3: 72:[22, 2, 10] Operation: 86-76=10
Exploring Operation: 86-22=64, Resulting Numbers: [76, 2, 64]
Generated Node #0,4: 72:[76, 2, 64] Operation: 86-22=64
Start Sub Search at level 1: Moving to Node #0,3
Current State: 72:[22, 2, 10], Operations: ['86-76=10']
Exploring Operation: 22+2=24, Resulting Numbers: [10, 24]
Generated Node #0,3,0: 72:[10, 24] Operation: 22+2=24
Exploring Operation: 22/2=11, Resulting Numbers: [10, 11]
Generated Node #0,3,1: 72:[10, 11] Operation: 22/2=11
Exploring Operation: 22-10=12, Resulting Numbers: [2, 12]
Generated Node #0,3,2: 72:[2, 12] Operation: 22-10=12
Exploring Operation: 10-2=8, Resulting Numbers: [22, 8]
Generated Node #0,3,3: 72:[22, 8] Operation: 10-2=8
Exploring Operation: 2+10=12, Resulting Numbers: [22, 12]
Generated Node #0,3,4: 72:[22, 12] Operation: 2+10=12
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 72:[2, 12], Operations: ['86-76=10', '22-10=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,72 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 72:[10, 24], Operations: ['86-76=10', '22+2=24']
Exploring Operation: 10+24=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 10*24=240, Resulting Numbers: [240]
240,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 72:[10, 11], Operations: ['86-76=10', '22/2=11']
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 72:[22, 8], Operations: ['86-76=10', '10-2=8']
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,72 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 72:[22, 12], Operations: ['86-76=10', '2+10=12']
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 22*12=264, Resulting Numbers: [264]
264,72 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 72:[76, 2, 64], Operations: ['86-22=64']
Exploring Operation: 64/2=32, Resulting Numbers: [76, 32]
Generated Node #0,4,0: 72:[76, 32] Operation: 64/2=32
Exploring Operation: 2+64=66, Resulting Numbers: [76, 66]
Generated Node #0,4,1: 72:[76, 66] Operation: 2+64=66
Exploring Operation: 76-2=74, Resulting Numbers: [64, 74]
Generated Node #0,4,2: 72:[64, 74] Operation: 76-2=74
Exploring Operation: 76-64=12, Resulting Numbers: [2, 12]
Generated Node #0,4,3: 72:[2, 12] Operation: 76-64=12
Exploring Operation: 76/2=38, Resulting Numbers: [64, 38]
Generated Node #0,4,4: 72:[64, 38] Operation: 76/2=38
Moving to Node #0,4,3
Current State: 72:[2, 12], Operations: ['86-22=64', '76-64=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,72 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Moving to Node #0,4,0
Current State: 72:[76, 32], Operations: ['86-22=64', '64/2=32']
Exploring Operation: 76+32=108, Resulting Numbers: [108]
108,72 unequal: No Solution
Exploring Operation: 76*32=2432, Resulting Numbers: [2432]
2432,72 unequal: No Solution
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,72 unequal: No Solution
Moving to Node #0,4,1
Current State: 72:[76, 66], Operations: ['86-22=64', '2+64=66']
Exploring Operation: 76-66=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Exploring Operation: 76*66=5016, Resulting Numbers: [5016]
5016,72 unequal: No Solution
Exploring Operation: 76+66=142, Resulting Numbers: [142]
142,72 unequal: No Solution
Moving to Node #0,4,2
Current State: 72:[64, 74], Operations: ['86-22=64', '76-2=74']
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Exploring Operation: 64+74=138, Resulting Numbers: [138]
138,72 unequal: No Solution
Exploring Operation: 64*74=4736, Resulting Numbers: [4736]
4736,72 unequal: No Solution
Moving to Node #0,4,4
Current State: 72:[64, 38], Operations: ['86-22=64', '76/2=38']
Exploring Operation: 64*38=2432, Resulting Numbers: [2432]
2432,72 unequal: No Solution
Exploring Operation: 64-38=26, Resulting Numbers: [26]
26,72 unequal: No Solution
Exploring Operation: 64+38=102, Resulting Numbers: [102]
102,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[22, 76, 43], Operations: ['86/2=43']
Exploring Operation: 22+43=65, Resulting Numbers: [76, 65]
Generated Node #0,0,0: 72:[76, 65] Operation: 22+43=65
Exploring Operation: 43-22=21, Resulting Numbers: [76, 21]
Generated Node #0,0,1: 72:[76, 21] Operation: 43-22=21
Exploring Operation: 22+76=98, Resulting Numbers: [43, 98]
Generated Node #0,0,2: 72:[43, 98] Operation: 22+76=98
Exploring Operation: 76-43=33, Resulting Numbers: [22, 33]
Generated Node #0,0,3: 72:[22, 33] Operation: 76-43=33
Exploring Operation: 76-22=54, Resulting Numbers: [43, 54]
Generated Node #0,0,4: 72:[43, 54] Operation: 76-22=54
Moving to Node #0,0,3
Current State: 72:[22, 33], Operations: ['86/2=43', '76-43=33']
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 22*33=726, Resulting Numbers: [726]
726,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[76, 21], Operations: ['86/2=43', '43-22=21']
Exploring Operation: 76-21=55, Resulting Numbers: [55]
55,72 unequal: No Solution
Exploring Operation: 76+21=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 76*21=1596, Resulting Numbers: [1596]
1596,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[76, 65], Operations: ['86/2=43', '22+43=65']
Exploring Operation: 76+65=141, Resulting Numbers: [141]
141,72 unequal: No Solution
Exploring Operation: 76-65=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 76*65=4940, Resulting Numbers: [4940]
4940,72 unequal: No Solution
Moving to Node #0,0,4
Current State: 72:[43, 54], Operations: ['86/2=43', '76-22=54']
Exploring Operation: 43*54=2322, Resulting Numbers: [2322]
2322,72 unequal: No Solution
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[43, 98], Operations: ['86/2=43', '22+76=98']
Exploring Operation: 43+98=141, Resulting Numbers: [141]
141,72 unequal: No Solution
Exploring Operation: 43*98=4214, Resulting Numbers: [4214]
4214,72 unequal: No Solution
Exploring Operation: 98-43=55, Resulting Numbers: [55]
55,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[86, 76, 24], Operations: ['22+2=24']
Exploring Operation: 86-24=62, Resulting Numbers: [76, 62]
Generated Node #0,1,0: 72:[76, 62] Operation: 86-24=62
Exploring Operation: 86-76=10, Resulting Numbers: [24, 10]
Generated Node #0,1,1: 72:[24, 10] Operation: 86-76=10
Exploring Operation: 86+24=110, Resulting Numbers: [76, 110]
Generated Node #0,1,2: 72:[76, 110] Operation: 86+24=110
Exploring Operation: 76-24=52, Resulting Numbers: [86, 52]
Generated Node #0,1,3: 72:[86, 52] Operation: 76-24=52
Exploring Operation: 76+24=100, Resulting Numbers: [86, 100]
Generated Node #0,1,4: 72:[86, 100] Operation: 76+24=100
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 72:[24, 10], Operations: ['22+2=24', '86-76=10']
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,72 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 72:[76, 62], Operations: ['22+2=24', '86-24=62']
Exploring Operation: 76-62=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 76*62=4712, Resulting Numbers: [4712]
4712,72 unequal: No Solution
Exploring Operation: 76+62=138, Resulting Numbers: [138]
138,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 72:[86, 52], Operations: ['22+2=24', '76-24=52']
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 86*52=4472, Resulting Numbers: [4472]
4472,72 unequal: No Solution
Exploring Operation: 86+52=138, Resulting Numbers: [138]
138,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 72:[76, 110], Operations: ['22+2=24', '86+24=110']
Exploring Operation: 110-76=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 76+110=186, Resulting Numbers: [186]
186,72 unequal: No Solution
Exploring Operation: 76*110=8360, Resulting Numbers: [8360]
8360,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 72:[86, 100], Operations: ['22+2=24', '76+24=100']
Exploring Operation: 100-86=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 86+100=186, Resulting Numbers: [186]
186,72 unequal: No Solution
Exploring Operation: 86*100=8600, Resulting Numbers: [8600]
8600,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[22, 76, 84], Operations: ['86-2=84']
Exploring Operation: 76-22=54, Resulting Numbers: [84, 54]
Generated Node #0,2,0: 72:[84, 54] Operation: 76-22=54
Exploring Operation: 84-22=62, Resulting Numbers: [76, 62]
Generated Node #0,2,1: 72:[76, 62] Operation: 84-22=62
Exploring Operation: 22+84=106, Resulting Numbers: [76, 106]
Generated Node #0,2,2: 72:[76, 106] Operation: 22+84=106
Exploring Operation: 84-76=8, Resulting Numbers: [22, 8]
Generated Node #0,2,3: 72:[22, 8] Operation: 84-76=8
Exploring Operation: 22+76=98, Resulting Numbers: [84, 98]
Generated Node #0,2,4: 72:[84, 98] Operation: 22+76=98
Moving to Node #0,2,3
Current State: 72:[22, 8], Operations: ['86-2=84', '84-76=8']
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,72 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[76, 62], Operations: ['86-2=84', '84-22=62']
Exploring Operation: 76+62=138, Resulting Numbers: [138]
138,72 unequal: No Solution
Exploring Operation: 76-62=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 76*62=4712, Resulting Numbers: [4712]
4712,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[84, 54], Operations: ['86-2=84', '76-22=54']
Exploring Operation: 84+54=138, Resulting Numbers: [138]
138,72 unequal: No Solution
Exploring Operation: 84-54=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 84*54=4536, Resulting Numbers: [4536]
4536,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[76, 106], Operations: ['86-2=84', '22+84=106']
Exploring Operation: 76*106=8056, Resulting Numbers: [8056]
8056,72 unequal: No Solution
Exploring Operation: 106-76=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 76+106=182, Resulting Numbers: [182]
182,72 unequal: No Solution
Moving to Node #0,2,4
Current State: 72:[84, 98], Operations: ['86-2=84', '22+76=98']
Exploring Operation: 84*98=8232, Resulting Numbers: [8232]
8232,72 unequal: No Solution
Exploring Operation: 84+98=182, Resulting Numbers: [182]
182,72 unequal: No Solution
Exploring Operation: 98-84=14, Resulting Numbers: [14]
14,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
45,
46,
69,
26
] | 56 |
[
"45*46=2070",
"2070/69=30",
"26+30=56"
] |
Current State: 56:[45, 46, 69, 26], Operations: []
Exploring Operation: 45*46=2070, Resulting Numbers: [69, 26, 2070]
Generated Node #2: [69, 26, 2070] from Operation: 45*46=2070
Current State: 56:[69, 26, 2070], Operations: ['45*46=2070']
Exploring Operation: 2070/69=30, Resulting Numbers: [26, 30]
Generated Node #3: [26, 30] from Operation: 2070/69=30
Current State: 56:[26, 30], Operations: ['45*46=2070', '2070/69=30']
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
Current State: 56:[45, 46, 69, 26], Operations: []
Exploring Operation: 69-46=23, Resulting Numbers: [45, 26, 23]
Generated Node #0,0: 56:[45, 26, 23] Operation: 69-46=23
Exploring Operation: 69-45=24, Resulting Numbers: [46, 26, 24]
Generated Node #0,1: 56:[46, 26, 24] Operation: 69-45=24
Exploring Operation: 46-45=1, Resulting Numbers: [69, 26, 1]
Generated Node #0,2: 56:[69, 26, 1] Operation: 46-45=1
Moving to Node #0,1
Current State: 56:[46, 26, 24], Operations: ['69-45=24']
Exploring Operation: 46-24=22, Resulting Numbers: [26, 22]
Generated Node #0,1,0: 56:[26, 22] Operation: 46-24=22
Exploring Operation: 46-26=20, Resulting Numbers: [24, 20]
Generated Node #0,1,1: 56:[24, 20] Operation: 46-26=20
Exploring Operation: 26-24=2, Resulting Numbers: [46, 2]
Generated Node #0,1,2: 56:[46, 2] Operation: 26-24=2
Moving to Node #0,2
Current State: 56:[69, 26, 1], Operations: ['46-45=1']
Exploring Operation: 69-1=68, Resulting Numbers: [26, 68]
Generated Node #0,2,0: 56:[26, 68] Operation: 69-1=68
Exploring Operation: 69-26=43, Resulting Numbers: [1, 43]
Generated Node #0,2,1: 56:[1, 43] Operation: 69-26=43
Exploring Operation: 26+1=27, Resulting Numbers: [69, 27]
Generated Node #0,2,2: 56:[69, 27] Operation: 26+1=27
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[26, 68], Operations: ['46-45=1', '69-1=68']
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,56 unequal: No Solution
Exploring Operation: 26*68=1768, Resulting Numbers: [1768]
1768,56 unequal: No Solution
Exploring Operation: 26+68=94, Resulting Numbers: [94]
94,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 56:[1, 43], Operations: ['46-45=1', '69-26=43']
Exploring Operation: 1*43=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 1+43=44, Resulting Numbers: [44]
44,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 56:[69, 27], Operations: ['46-45=1', '26+1=27']
Exploring Operation: 69+27=96, Resulting Numbers: [96]
96,56 unequal: No Solution
Exploring Operation: 69*27=1863, Resulting Numbers: [1863]
1863,56 unequal: No Solution
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 56:[45, 26, 23], Operations: ['69-46=23']
Exploring Operation: 45-23=22, Resulting Numbers: [26, 22]
Generated Node #0,0,0: 56:[26, 22] Operation: 45-23=22
Exploring Operation: 45-26=19, Resulting Numbers: [23, 19]
Generated Node #0,0,1: 56:[23, 19] Operation: 45-26=19
Exploring Operation: 26-23=3, Resulting Numbers: [45, 3]
Generated Node #0,0,2: 56:[45, 3] Operation: 26-23=3
Moving to Node #0,1,0
Current State: 56:[26, 22], Operations: ['69-45=24', '46-24=22']
Exploring Operation: 26*22=572, Resulting Numbers: [572]
572,56 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[26, 22], Operations: ['69-46=23', '45-23=22']
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 26*22=572, Resulting Numbers: [572]
572,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[46, 2], Operations: ['69-45=24', '26-24=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,56 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[23, 19], Operations: ['69-46=23', '45-26=19']
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,56 unequal: No Solution
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[24, 20], Operations: ['69-45=24', '46-26=20']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,56 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[45, 3], Operations: ['69-46=23', '26-23=3']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,56 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
27,
47,
9,
35
] | 47 |
[
"27+9=36",
"36-35=1",
"47*1=47"
] |
Current State: 47:[27, 47, 9, 35], Operations: []
Exploring Operation: 27+9=36, Resulting Numbers: [47, 35, 36]
Generated Node #2: [47, 35, 36] from Operation: 27+9=36
Current State: 47:[47, 35, 36], Operations: ['27+9=36']
Exploring Operation: 36-35=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 36-35=1
Current State: 47:[47, 1], Operations: ['27+9=36', '36-35=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[27, 47, 9, 35], Operations: []
Exploring Operation: 27+9=36, Resulting Numbers: [47, 35, 36]
Generated Node #0,0: 47:[47, 35, 36] Operation: 27+9=36
Exploring Operation: 9+35=44, Resulting Numbers: [27, 47, 44]
Generated Node #0,1: 47:[27, 47, 44] Operation: 9+35=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[47, 35, 36], Operations: ['27+9=36']
Exploring Operation: 35+36=71, Resulting Numbers: [47, 71]
Generated Node #0,0,0: 47:[47, 71] Operation: 35+36=71
Exploring Operation: 47+35=82, Resulting Numbers: [36, 82]
Generated Node #0,0,1: 47:[36, 82] Operation: 47+35=82
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[47, 71], Operations: ['27+9=36', '35+36=71']
Exploring Operation: 47+71=118, Resulting Numbers: [118]
118,47 unequal: No Solution
Exploring Operation: 71-47=24, Resulting Numbers: [24]
24,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[36, 82], Operations: ['27+9=36', '47+35=82']
Exploring Operation: 36+82=118, Resulting Numbers: [118]
118,47 unequal: No Solution
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[27, 47, 44], Operations: ['9+35=44']
Exploring Operation: 27+44=71, Resulting Numbers: [47, 71]
Generated Node #0,1,0: 47:[47, 71] Operation: 27+44=71
Exploring Operation: 27+47=74, Resulting Numbers: [44, 74]
Generated Node #0,1,1: 47:[44, 74] Operation: 27+47=74
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[47, 71], Operations: ['9+35=44', '27+44=71']
Exploring Operation: 71-47=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Exploring Operation: 47+71=118, Resulting Numbers: [118]
118,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[44, 74], Operations: ['9+35=44', '27+47=74']
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Exploring Operation: 44+74=118, Resulting Numbers: [118]
118,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
11,
20,
6,
38
] | 71 |
[
"11+38=49",
"20*6=120",
"120-49=71"
] |
Current State: 71:[11, 20, 6, 38], Operations: []
Exploring Operation: 11+38=49, Resulting Numbers: [20, 6, 49]
Generated Node #2: [20, 6, 49] from Operation: 11+38=49
Current State: 71:[20, 6, 49], Operations: ['11+38=49']
Exploring Operation: 20*6=120, Resulting Numbers: [49, 120]
Generated Node #3: [49, 120] from Operation: 20*6=120
Current State: 71:[49, 120], Operations: ['11+38=49', '20*6=120']
Exploring Operation: 120-49=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
Current State: 71:[11, 20, 6, 38], Operations: []
Exploring Operation: 11+20=31, Resulting Numbers: [6, 38, 31]
Generated Node #0,0: 71:[6, 38, 31] Operation: 11+20=31
Exploring Operation: 11+6=17, Resulting Numbers: [20, 38, 17]
Generated Node #0,1: 71:[20, 38, 17] Operation: 11+6=17
Exploring Operation: 11*6=66, Resulting Numbers: [20, 38, 66]
Generated Node #0,2: 71:[20, 38, 66] Operation: 11*6=66
Moving to Node #0,2
Current State: 71:[20, 38, 66], Operations: ['11*6=66']
Exploring Operation: 38-20=18, Resulting Numbers: [66, 18]
Generated Node #0,2,0: 71:[66, 18] Operation: 38-20=18
Exploring Operation: 20+38=58, Resulting Numbers: [66, 58]
Generated Node #0,2,1: 71:[66, 58] Operation: 20+38=58
Exploring Operation: 20+66=86, Resulting Numbers: [38, 86]
Generated Node #0,2,2: 71:[38, 86] Operation: 20+66=86
Moving to Node #0,0
Current State: 71:[6, 38, 31], Operations: ['11+20=31']
Exploring Operation: 38+31=69, Resulting Numbers: [6, 69]
Generated Node #0,0,0: 71:[6, 69] Operation: 38+31=69
Exploring Operation: 6+38=44, Resulting Numbers: [31, 44]
Generated Node #0,0,1: 71:[31, 44] Operation: 6+38=44
Exploring Operation: 6+31=37, Resulting Numbers: [38, 37]
Generated Node #0,0,2: 71:[38, 37] Operation: 6+31=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[6, 69], Operations: ['11+20=31', '38+31=69']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,71 unequal: No Solution
Exploring Operation: 6+69=75, Resulting Numbers: [75]
75,71 unequal: No Solution
Exploring Operation: 6*69=414, Resulting Numbers: [414]
414,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[31, 44], Operations: ['11+20=31', '6+38=44']
Exploring Operation: 31*44=1364, Resulting Numbers: [1364]
1364,71 unequal: No Solution
Exploring Operation: 31+44=75, Resulting Numbers: [75]
75,71 unequal: No Solution
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 71:[38, 37], Operations: ['11+20=31', '6+31=37']
Exploring Operation: 38*37=1406, Resulting Numbers: [1406]
1406,71 unequal: No Solution
Exploring Operation: 38+37=75, Resulting Numbers: [75]
75,71 unequal: No Solution
Exploring Operation: 38-37=1, Resulting Numbers: [1]
1,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 71:[20, 38, 17], Operations: ['11+6=17']
Exploring Operation: 38+17=55, Resulting Numbers: [20, 55]
Generated Node #0,1,0: 71:[20, 55] Operation: 38+17=55
Exploring Operation: 20+38=58, Resulting Numbers: [17, 58]
Generated Node #0,1,1: 71:[17, 58] Operation: 20+38=58
Exploring Operation: 20+17=37, Resulting Numbers: [38, 37]
Generated Node #0,1,2: 71:[38, 37] Operation: 20+17=37
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[20, 55], Operations: ['11+6=17', '38+17=55']
Exploring Operation: 20*55=1100, Resulting Numbers: [1100]
1100,71 unequal: No Solution
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 20+55=75, Resulting Numbers: [75]
75,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[17, 58], Operations: ['11+6=17', '20+38=58']
Exploring Operation: 17+58=75, Resulting Numbers: [75]
75,71 unequal: No Solution
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,71 unequal: No Solution
Exploring Operation: 17*58=986, Resulting Numbers: [986]
986,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 71:[38, 37], Operations: ['11+6=17', '20+17=37']
Exploring Operation: 38-37=1, Resulting Numbers: [1]
1,71 unequal: No Solution
Exploring Operation: 38*37=1406, Resulting Numbers: [1406]
1406,71 unequal: No Solution
Exploring Operation: 38+37=75, Resulting Numbers: [75]
75,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 71:[66, 58], Operations: ['11*6=66', '20+38=58']
Exploring Operation: 66*58=3828, Resulting Numbers: [3828]
3828,71 unequal: No Solution
Exploring Operation: 66+58=124, Resulting Numbers: [124]
124,71 unequal: No Solution
Exploring Operation: 66-58=8, Resulting Numbers: [8]
8,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[38, 86], Operations: ['11*6=66', '20+66=86']
Exploring Operation: 38+86=124, Resulting Numbers: [124]
124,71 unequal: No Solution
Exploring Operation: 38*86=3268, Resulting Numbers: [3268]
3268,71 unequal: No Solution
Exploring Operation: 86-38=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[66, 18], Operations: ['11*6=66', '38-20=18']
Exploring Operation: 66*18=1188, Resulting Numbers: [1188]
1188,71 unequal: No Solution
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,71 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,71 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
89,
1,
97,
64
] | 73 |
[
"89-1=88",
"97+64=161",
"161-88=73"
] |
Current State: 73:[89, 1, 97, 64], Operations: []
Exploring Operation: 89-1=88, Resulting Numbers: [97, 64, 88]
Generated Node #2: [97, 64, 88] from Operation: 89-1=88
Current State: 73:[97, 64, 88], Operations: ['89-1=88']
Exploring Operation: 97+64=161, Resulting Numbers: [88, 161]
Generated Node #3: [88, 161] from Operation: 97+64=161
Current State: 73:[88, 161], Operations: ['89-1=88', '97+64=161']
Exploring Operation: 161-88=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[89, 1, 97, 64], Operations: []
Exploring Operation: 1+64=65, Resulting Numbers: [89, 97, 65]
Generated Node #0,0: 73:[89, 97, 65] Operation: 1+64=65
Exploring Operation: 89-1=88, Resulting Numbers: [97, 64, 88]
Generated Node #0,1: 73:[97, 64, 88] Operation: 89-1=88
Exploring Operation: 97-1=96, Resulting Numbers: [89, 64, 96]
Generated Node #0,2: 73:[89, 64, 96] Operation: 97-1=96
Exploring Operation: 89*1=89, Resulting Numbers: [97, 64, 89]
Generated Node #0,3: 73:[97, 64, 89] Operation: 89*1=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[89, 97, 65], Operations: ['1+64=65']
Exploring Operation: 89+65=154, Resulting Numbers: [97, 154]
Generated Node #0,0,0: 73:[97, 154] Operation: 89+65=154
Exploring Operation: 89-65=24, Resulting Numbers: [97, 24]
Generated Node #0,0,1: 73:[97, 24] Operation: 89-65=24
Exploring Operation: 97-89=8, Resulting Numbers: [65, 8]
Generated Node #0,0,2: 73:[65, 8] Operation: 97-89=8
Exploring Operation: 97-65=32, Resulting Numbers: [89, 32]
Generated Node #0,0,3: 73:[89, 32] Operation: 97-65=32
Moving to Node #0,0,3
Current State: 73:[89, 32], Operations: ['1+64=65', '97-65=32']
Exploring Operation: 89*32=2848, Resulting Numbers: [2848]
2848,73 unequal: No Solution
Exploring Operation: 89-32=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 89+32=121, Resulting Numbers: [121]
121,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[65, 8], Operations: ['1+64=65', '97-89=8']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,73 unequal: No Solution
Exploring Operation: 65+8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[89, 1, 97, 64], Operations: []
Exploring Operation: 1+64=65, Resulting Numbers: [89, 97, 65]
Generated Node #0,0: 73:[89, 97, 65] Operation: 1+64=65
Moving to Node #0,0
Current State: 73:[89, 97, 65], Operations: ['1+64=65']
Exploring Operation: 97-89=8, Resulting Numbers: [65, 8]
Generated Node #0,0,2: 73:[65, 8] Operation: 97-89=8
Moving to Node #0,0,2
Current State: 73:[65, 8], Operations: ['1+64=65', '97-89=8']
Exploring Operation: 65+8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_4
|
sum_heuristic
|
[
13,
75,
2,
55
] | 41 |
[
"13+55=68",
"68/2=34",
"75-34=41"
] |
Current State: 41:[13, 75, 2, 55], Operations: []
Exploring Operation: 13+55=68, Resulting Numbers: [75, 2, 68]
Generated Node #2: [75, 2, 68] from Operation: 13+55=68
Current State: 41:[75, 2, 68], Operations: ['13+55=68']
Exploring Operation: 68/2=34, Resulting Numbers: [75, 34]
Generated Node #3: [75, 34] from Operation: 68/2=34
Current State: 41:[75, 34], Operations: ['13+55=68', '68/2=34']
Exploring Operation: 75-34=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[13, 75, 2, 55], Operations: []
Exploring Operation: 13+2=15, Resulting Numbers: [75, 55, 15]
Generated Node #0,0: 41:[75, 55, 15] Operation: 13+2=15
Exploring Operation: 75-13=62, Resulting Numbers: [2, 55, 62]
Generated Node #0,1: 41:[2, 55, 62] Operation: 75-13=62
Exploring Operation: 13*2=26, Resulting Numbers: [75, 55, 26]
Generated Node #0,2: 41:[75, 55, 26] Operation: 13*2=26
Moving to Node #0,2
Current State: 41:[75, 55, 26], Operations: ['13*2=26']
Exploring Operation: 55-26=29, Resulting Numbers: [75, 29]
Generated Node #0,2,0: 41:[75, 29] Operation: 55-26=29
Exploring Operation: 75-26=49, Resulting Numbers: [55, 49]
Generated Node #0,2,1: 41:[55, 49] Operation: 75-26=49
Exploring Operation: 75-55=20, Resulting Numbers: [26, 20]
Generated Node #0,2,2: 41:[26, 20] Operation: 75-55=20
Moving to Node #0,0
Current State: 41:[75, 55, 15], Operations: ['13+2=15']
Exploring Operation: 55-15=40, Resulting Numbers: [75, 40]
Generated Node #0,0,0: 41:[75, 40] Operation: 55-15=40
Exploring Operation: 75-55=20, Resulting Numbers: [15, 20]
Generated Node #0,0,1: 41:[15, 20] Operation: 75-55=20
Exploring Operation: 75-15=60, Resulting Numbers: [55, 60]
Generated Node #0,0,2: 41:[55, 60] Operation: 75-15=60
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[55, 60], Operations: ['13+2=15', '75-15=60']
Exploring Operation: 55+60=115, Resulting Numbers: [115]
115,41 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 55*60=3300, Resulting Numbers: [3300]
3300,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[75, 40], Operations: ['13+2=15', '55-15=40']
Exploring Operation: 75+40=115, Resulting Numbers: [115]
115,41 unequal: No Solution
Exploring Operation: 75*40=3000, Resulting Numbers: [3000]
3000,41 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[15, 20], Operations: ['13+2=15', '75-55=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,41 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 41:[2, 55, 62], Operations: ['75-13=62']
Exploring Operation: 55-2=53, Resulting Numbers: [62, 53]
Generated Node #0,1,0: 41:[62, 53] Operation: 55-2=53
Exploring Operation: 62-2=60, Resulting Numbers: [55, 60]
Generated Node #0,1,1: 41:[55, 60] Operation: 62-2=60
Exploring Operation: 62/2=31, Resulting Numbers: [55, 31]
Generated Node #0,1,2: 41:[55, 31] Operation: 62/2=31
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[55, 31], Operations: ['75-13=62', '62/2=31']
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 55*31=1705, Resulting Numbers: [1705]
1705,41 unequal: No Solution
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[62, 53], Operations: ['75-13=62', '55-2=53']
Exploring Operation: 62-53=9, Resulting Numbers: [9]
9,41 unequal: No Solution
Exploring Operation: 62*53=3286, Resulting Numbers: [3286]
3286,41 unequal: No Solution
Exploring Operation: 62+53=115, Resulting Numbers: [115]
115,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[55, 60], Operations: ['75-13=62', '62-2=60']
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 55*60=3300, Resulting Numbers: [3300]
3300,41 unequal: No Solution
Exploring Operation: 55+60=115, Resulting Numbers: [115]
115,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 41:[55, 49], Operations: ['13*2=26', '75-26=49']
Exploring Operation: 55+49=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 55*49=2695, Resulting Numbers: [2695]
2695,41 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[26, 20], Operations: ['13*2=26', '75-55=20']
Exploring Operation: 26+20=46, Resulting Numbers: [46]
46,41 unequal: No Solution
Exploring Operation: 26*20=520, Resulting Numbers: [520]
520,41 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[75, 29], Operations: ['13*2=26', '55-26=29']
Exploring Operation: 75+29=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 75-29=46, Resulting Numbers: [46]
46,41 unequal: No Solution
Exploring Operation: 75*29=2175, Resulting Numbers: [2175]
2175,41 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
4,
31,
95,
16
] | 12 |
[
"95-31=64",
"64-16=48",
"48/4=12"
] |
Current State: 12:[4, 31, 95, 16], Operations: []
Exploring Operation: 95-31=64, Resulting Numbers: [4, 16, 64]
Generated Node #2: [4, 16, 64] from Operation: 95-31=64
Current State: 12:[4, 16, 64], Operations: ['95-31=64']
Exploring Operation: 64-16=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 64-16=48
Current State: 12:[4, 48], Operations: ['95-31=64', '64-16=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
Current State: 12:[4, 31, 95, 16], Operations: []
Exploring Operation: 95-16=79, Resulting Numbers: [4, 31, 79]
Generated Node #0,0: 12:[4, 31, 79] Operation: 95-16=79
Exploring Operation: 31-16=15, Resulting Numbers: [4, 95, 15]
Generated Node #0,1: 12:[4, 95, 15] Operation: 31-16=15
Exploring Operation: 95-31=64, Resulting Numbers: [4, 16, 64]
Generated Node #0,2: 12:[4, 16, 64] Operation: 95-31=64
Moving to Node #0,2
Current State: 12:[4, 16, 64], Operations: ['95-31=64']
Exploring Operation: 64/16=4, Resulting Numbers: [4, 4]
Generated Node #0,2,0: 12:[4, 4] Operation: 64/16=4
Exploring Operation: 64-16=48, Resulting Numbers: [4, 48]
Generated Node #0,2,1: 12:[4, 48] Operation: 64-16=48
Exploring Operation: 64/4=16, Resulting Numbers: [16, 16]
Generated Node #0,2,2: 12:[16, 16] Operation: 64/4=16
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 12:[4, 4], Operations: ['95-31=64', '64/16=4']
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,12 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 12:[16, 16], Operations: ['95-31=64', '64/4=16']
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,12 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 12:[4, 48], Operations: ['95-31=64', '64-16=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,12 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,12 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[4, 31, 95, 16], Operations: []
Exploring Operation: 95-31=64, Resulting Numbers: [4, 16, 64]
Generated Node #0,2: 12:[4, 16, 64] Operation: 95-31=64
Moving to Node #0,2
Current State: 12:[4, 16, 64], Operations: ['95-31=64']
Exploring Operation: 64-16=48, Resulting Numbers: [4, 48]
Generated Node #0,2,1: 12:[4, 48] Operation: 64-16=48
Moving to Node #0,2,1
Current State: 12:[4, 48], Operations: ['95-31=64', '64-16=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 |
hs_3
|
sum_heuristic
|
[
7,
47,
94,
52
] | 12 |
[
"7+47=54",
"94-52=42",
"54-42=12"
] |
Current State: 12:[7, 47, 94, 52], Operations: []
Exploring Operation: 7+47=54, Resulting Numbers: [94, 52, 54]
Generated Node #2: [94, 52, 54] from Operation: 7+47=54
Current State: 12:[94, 52, 54], Operations: ['7+47=54']
Exploring Operation: 94-52=42, Resulting Numbers: [54, 42]
Generated Node #3: [54, 42] from Operation: 94-52=42
Current State: 12:[54, 42], Operations: ['7+47=54', '94-52=42']
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
Current State: 12:[7, 47, 94, 52], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [7, 52, 2]
Generated Node #0,0: 12:[7, 52, 2] Operation: 94/47=2
Exploring Operation: 94-47=47, Resulting Numbers: [7, 52, 47]
Generated Node #0,1: 12:[7, 52, 47] Operation: 94-47=47
Exploring Operation: 52-47=5, Resulting Numbers: [7, 94, 5]
Generated Node #0,2: 12:[7, 94, 5] Operation: 52-47=5
Exploring Operation: 94-52=42, Resulting Numbers: [7, 47, 42]
Generated Node #0,3: 12:[7, 47, 42] Operation: 94-52=42
Moving to Node #0,0
Current State: 12:[7, 52, 2], Operations: ['94/47=2']
Exploring Operation: 52-7=45, Resulting Numbers: [2, 45]
Generated Node #0,0,0: 12:[2, 45] Operation: 52-7=45
Exploring Operation: 52-2=50, Resulting Numbers: [7, 50]
Generated Node #0,0,1: 12:[7, 50] Operation: 52-2=50
Exploring Operation: 52/2=26, Resulting Numbers: [7, 26]
Generated Node #0,0,2: 12:[7, 26] Operation: 52/2=26
Exploring Operation: 7-2=5, Resulting Numbers: [52, 5]
Generated Node #0,0,3: 12:[52, 5] Operation: 7-2=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 12:[7, 26], Operations: ['94/47=2', '52/2=26']
Exploring Operation: 7*26=182, Resulting Numbers: [182]
182,12 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[2, 45], Operations: ['94/47=2', '52-7=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 12:[7, 50], Operations: ['94/47=2', '52-2=50']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 7*50=350, Resulting Numbers: [350]
350,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 12:[52, 5], Operations: ['94/47=2', '7-2=5']
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 52*5=260, Resulting Numbers: [260]
260,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 12:[7, 47, 42], Operations: ['94-52=42']
Exploring Operation: 42-7=35, Resulting Numbers: [47, 35]
Generated Node #0,3,0: 12:[47, 35] Operation: 42-7=35
Exploring Operation: 42/7=6, Resulting Numbers: [47, 6]
Generated Node #0,3,1: 12:[47, 6] Operation: 42/7=6
Exploring Operation: 47-42=5, Resulting Numbers: [7, 5]
Generated Node #0,3,2: 12:[7, 5] Operation: 47-42=5
Exploring Operation: 47-7=40, Resulting Numbers: [42, 40]
Generated Node #0,3,3: 12:[42, 40] Operation: 47-7=40
Moving to Node #0,1
Current State: 12:[7, 52, 47], Operations: ['94-47=47']
Exploring Operation: 7+52=59, Resulting Numbers: [47, 59]
Generated Node #0,1,0: 12:[47, 59] Operation: 7+52=59
Exploring Operation: 52-7=45, Resulting Numbers: [47, 45]
Generated Node #0,1,1: 12:[47, 45] Operation: 52-7=45
Exploring Operation: 47-7=40, Resulting Numbers: [52, 40]
Generated Node #0,1,2: 12:[52, 40] Operation: 47-7=40
Exploring Operation: 52-47=5, Resulting Numbers: [7, 5]
Generated Node #0,1,3: 12:[7, 5] Operation: 52-47=5
Moving to Node #0,2
Current State: 12:[7, 94, 5], Operations: ['52-47=5']
Exploring Operation: 7+5=12, Resulting Numbers: [94, 12]
Generated Node #0,2,0: 12:[94, 12] Operation: 7+5=12
Exploring Operation: 7-5=2, Resulting Numbers: [94, 2]
Generated Node #0,2,1: 12:[94, 2] Operation: 7-5=2
Exploring Operation: 94-7=87, Resulting Numbers: [5, 87]
Generated Node #0,2,2: 12:[5, 87] Operation: 94-7=87
Exploring Operation: 94-5=89, Resulting Numbers: [7, 89]
Generated Node #0,2,3: 12:[7, 89] Operation: 94-5=89
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 12:[5, 87], Operations: ['52-47=5', '94-7=87']
Exploring Operation: 5*87=435, Resulting Numbers: [435]
435,12 unequal: No Solution
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,12 unequal: No Solution
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 12:[7, 89], Operations: ['52-47=5', '94-5=89']
Exploring Operation: 7+89=96, Resulting Numbers: [96]
96,12 unequal: No Solution
Exploring Operation: 7*89=623, Resulting Numbers: [623]
623,12 unequal: No Solution
Exploring Operation: 89-7=82, Resulting Numbers: [82]
82,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 12:[94, 12], Operations: ['52-47=5', '7+5=12']
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,12 unequal: No Solution
Exploring Operation: 94+12=106, Resulting Numbers: [106]
106,12 unequal: No Solution
Exploring Operation: 94*12=1128, Resulting Numbers: [1128]
1128,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 12:[94, 2], Operations: ['52-47=5', '7-5=2']
Exploring Operation: 94*2=188, Resulting Numbers: [188]
188,12 unequal: No Solution
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,12 unequal: No Solution
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 12:[7, 5], Operations: ['94-52=42', '47-42=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[7, 47, 94, 52], Operations: []
Exploring Operation: 94-52=42, Resulting Numbers: [7, 47, 42]
Generated Node #0,3: 12:[7, 47, 42] Operation: 94-52=42
Moving to Node #0,3
Current State: 12:[7, 47, 42], Operations: ['94-52=42']
Exploring Operation: 47-42=5, Resulting Numbers: [7, 5]
Generated Node #0,3,2: 12:[7, 5] Operation: 47-42=5
Moving to Node #0,3,2
Current State: 12:[7, 5], Operations: ['94-52=42', '47-42=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 0.956597 |
hs_4
|
mult_heuristic
|
[
44,
88,
6,
89
] | 87 |
[
"44*6=264",
"88+89=177",
"264-177=87"
] |
Current State: 87:[44, 88, 6, 89], Operations: []
Exploring Operation: 44*6=264, Resulting Numbers: [88, 89, 264]
Generated Node #2: [88, 89, 264] from Operation: 44*6=264
Current State: 87:[88, 89, 264], Operations: ['44*6=264']
Exploring Operation: 88+89=177, Resulting Numbers: [264, 177]
Generated Node #3: [264, 177] from Operation: 88+89=177
Current State: 87:[264, 177], Operations: ['44*6=264', '88+89=177']
Exploring Operation: 264-177=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Current State: 87:[44, 88, 6, 89], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [6, 89, 2]
Generated Node #0,0: 87:[6, 89, 2] Operation: 88/44=2
Exploring Operation: 44-6=38, Resulting Numbers: [88, 89, 38]
Generated Node #0,1: 87:[88, 89, 38] Operation: 44-6=38
Exploring Operation: 88-44=44, Resulting Numbers: [6, 89, 44]
Generated Node #0,2: 87:[6, 89, 44] Operation: 88-44=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[6, 89, 2], Operations: ['88/44=2']
Exploring Operation: 6-2=4, Resulting Numbers: [89, 4]
Generated Node #0,0,0: 87:[89, 4] Operation: 6-2=4
Exploring Operation: 89-2=87, Resulting Numbers: [6, 87]
Generated Node #0,0,1: 87:[6, 87] Operation: 89-2=87
Exploring Operation: 6/2=3, Resulting Numbers: [89, 3]
Generated Node #0,0,2: 87:[89, 3] Operation: 6/2=3
Moving to Node #0,0,2
Current State: 87:[89, 3], Operations: ['88/44=2', '6/2=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,87 unequal: No Solution
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,87 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[89, 4], Operations: ['88/44=2', '6-2=4']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,87 unequal: No Solution
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 89*4=356, Resulting Numbers: [356]
356,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[6, 87], Operations: ['88/44=2', '89-2=87']
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 6*87=522, Resulting Numbers: [522]
522,87 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[88, 89, 38], Operations: ['44-6=38']
Exploring Operation: 88-38=50, Resulting Numbers: [89, 50]
Generated Node #0,1,0: 87:[89, 50] Operation: 88-38=50
Exploring Operation: 89-88=1, Resulting Numbers: [38, 1]
Generated Node #0,1,1: 87:[38, 1] Operation: 89-88=1
Exploring Operation: 89-38=51, Resulting Numbers: [88, 51]
Generated Node #0,1,2: 87:[88, 51] Operation: 89-38=51
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[38, 1], Operations: ['44-6=38', '89-88=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[89, 50], Operations: ['44-6=38', '88-38=50']
Exploring Operation: 89+50=139, Resulting Numbers: [139]
139,87 unequal: No Solution
Exploring Operation: 89*50=4450, Resulting Numbers: [4450]
4450,87 unequal: No Solution
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 87:[88, 51], Operations: ['44-6=38', '89-38=51']
Exploring Operation: 88+51=139, Resulting Numbers: [139]
139,87 unequal: No Solution
Exploring Operation: 88*51=4488, Resulting Numbers: [4488]
4488,87 unequal: No Solution
Exploring Operation: 88-51=37, Resulting Numbers: [37]
37,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[6, 89, 44], Operations: ['88-44=44']
Exploring Operation: 89-44=45, Resulting Numbers: [6, 45]
Generated Node #0,2,0: 87:[6, 45] Operation: 89-44=45
Exploring Operation: 44-6=38, Resulting Numbers: [89, 38]
Generated Node #0,2,1: 87:[89, 38] Operation: 44-6=38
Exploring Operation: 89-6=83, Resulting Numbers: [44, 83]
Generated Node #0,2,2: 87:[44, 83] Operation: 89-6=83
Moving to Node #0,2,1
Current State: 87:[89, 38], Operations: ['88-44=44', '44-6=38']
Exploring Operation: 89*38=3382, Resulting Numbers: [3382]
3382,87 unequal: No Solution
Exploring Operation: 89+38=127, Resulting Numbers: [127]
127,87 unequal: No Solution
Exploring Operation: 89-38=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Moving to Node #0,2,0
Current State: 87:[6, 45], Operations: ['88-44=44', '89-44=45']
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,87 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,87 unequal: No Solution
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[44, 83], Operations: ['88-44=44', '89-6=83']
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,87 unequal: No Solution
Exploring Operation: 44+83=127, Resulting Numbers: [127]
127,87 unequal: No Solution
Exploring Operation: 44*83=3652, Resulting Numbers: [3652]
3652,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
86,
58,
9,
18
] | 90 |
[
"86-58=28",
"28-18=10",
"9*10=90"
] |
Current State: 90:[86, 58, 9, 18], Operations: []
Exploring Operation: 86-58=28, Resulting Numbers: [9, 18, 28]
Generated Node #2: [9, 18, 28] from Operation: 86-58=28
Current State: 90:[9, 18, 28], Operations: ['86-58=28']
Exploring Operation: 28-18=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 28-18=10
Current State: 90:[9, 10], Operations: ['86-58=28', '28-18=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[86, 58, 9, 18], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [86, 58, 2]
Generated Node #0,0: 90:[86, 58, 2] Operation: 18/9=2
Exploring Operation: 58-18=40, Resulting Numbers: [86, 9, 40]
Generated Node #0,1: 90:[86, 9, 40] Operation: 58-18=40
Exploring Operation: 58-9=49, Resulting Numbers: [86, 18, 49]
Generated Node #0,2: 90:[86, 18, 49] Operation: 58-9=49
Exploring Operation: 86-58=28, Resulting Numbers: [9, 18, 28]
Generated Node #0,3: 90:[9, 18, 28] Operation: 86-58=28
Exploring Operation: 18-9=9, Resulting Numbers: [86, 58, 9]
Generated Node #0,4: 90:[86, 58, 9] Operation: 18-9=9
Moving to Node #0,3
Current State: 90:[9, 18, 28], Operations: ['86-58=28']
Exploring Operation: 18-9=9, Resulting Numbers: [28, 9]
Generated Node #0,3,0: 90:[28, 9] Operation: 18-9=9
Exploring Operation: 18+28=46, Resulting Numbers: [9, 46]
Generated Node #0,3,1: 90:[9, 46] Operation: 18+28=46
Exploring Operation: 28-9=19, Resulting Numbers: [18, 19]
Generated Node #0,3,2: 90:[18, 19] Operation: 28-9=19
Exploring Operation: 18/9=2, Resulting Numbers: [28, 2]
Generated Node #0,3,3: 90:[28, 2] Operation: 18/9=2
Exploring Operation: 28-18=10, Resulting Numbers: [9, 10]
Generated Node #0,3,4: 90:[9, 10] Operation: 28-18=10
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 90:[9, 10], Operations: ['86-58=28', '28-18=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[86, 58, 9, 18], Operations: []
Exploring Operation: 86-58=28, Resulting Numbers: [9, 18, 28]
Generated Node #0,3: 90:[9, 18, 28] Operation: 86-58=28
Moving to Node #0,3
Current State: 90:[9, 18, 28], Operations: ['86-58=28']
Exploring Operation: 28-18=10, Resulting Numbers: [9, 10]
Generated Node #0,3,4: 90:[9, 10] Operation: 28-18=10
Moving to Node #0,3,4
Current State: 90:[9, 10], Operations: ['86-58=28', '28-18=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
sum_heuristic
|
[
75,
75,
69,
73
] | 73 |
[
"75-75=0",
"69*0=0",
"73+0=73"
] |
Current State: 73:[75, 75, 69, 73], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [69, 73, 0]
Generated Node #2: [69, 73, 0] from Operation: 75-75=0
Current State: 73:[69, 73, 0], Operations: ['75-75=0']
Exploring Operation: 69*0=0, Resulting Numbers: [73, 0]
Generated Node #3: [73, 0] from Operation: 69*0=0
Current State: 73:[73, 0], Operations: ['75-75=0', '69*0=0']
Exploring Operation: 73+0=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[75, 75, 69, 73], Operations: []
Exploring Operation: 75+69=144, Resulting Numbers: [75, 73, 144]
Generated Node #0,0: 73:[75, 73, 144] Operation: 75+69=144
Exploring Operation: 75-69=6, Resulting Numbers: [75, 73, 6]
Generated Node #0,1: 73:[75, 73, 6] Operation: 75-69=6
Exploring Operation: 75+69=144, Resulting Numbers: [75, 73, 144]
Generated Node #0,2: 73:[75, 73, 144] Operation: 75+69=144
Exploring Operation: 75-69=6, Resulting Numbers: [75, 73, 6]
Generated Node #0,3: 73:[75, 73, 6] Operation: 75-69=6
Exploring Operation: 69+73=142, Resulting Numbers: [75, 75, 142]
Generated Node #0,4: 73:[75, 75, 142] Operation: 69+73=142
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[75, 73, 6], Operations: ['75-69=6']
Exploring Operation: 73-6=67, Resulting Numbers: [75, 67]
Generated Node #0,1,0: 73:[75, 67] Operation: 73-6=67
Exploring Operation: 75+6=81, Resulting Numbers: [73, 81]
Generated Node #0,1,1: 73:[73, 81] Operation: 75+6=81
Exploring Operation: 75-6=69, Resulting Numbers: [73, 69]
Generated Node #0,1,2: 73:[73, 69] Operation: 75-6=69
Exploring Operation: 75-73=2, Resulting Numbers: [6, 2]
Generated Node #0,1,3: 73:[6, 2] Operation: 75-73=2
Exploring Operation: 73+6=79, Resulting Numbers: [75, 79]
Generated Node #0,1,4: 73:[75, 79] Operation: 73+6=79
Moving to Node #0,1,2
Current State: 73:[73, 69], Operations: ['75-69=6', '75-6=69']
Exploring Operation: 73*69=5037, Resulting Numbers: [5037]
5037,73 unequal: No Solution
Exploring Operation: 73-69=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 73+69=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[73, 81], Operations: ['75-69=6', '75+6=81']
Exploring Operation: 73*81=5913, Resulting Numbers: [5913]
5913,73 unequal: No Solution
Exploring Operation: 73+81=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Exploring Operation: 81-73=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[75, 67], Operations: ['75-69=6', '73-6=67']
Exploring Operation: 75+67=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 75*67=5025, Resulting Numbers: [5025]
5025,73 unequal: No Solution
Exploring Operation: 75-67=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Moving to Node #0,1,4
Current State: 73:[75, 79], Operations: ['75-69=6', '73+6=79']
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[6, 2], Operations: ['75-69=6', '75-73=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[75, 73, 6], Operations: ['75-69=6']
Exploring Operation: 75+6=81, Resulting Numbers: [73, 81]
Generated Node #0,3,0: 73:[73, 81] Operation: 75+6=81
Exploring Operation: 73+6=79, Resulting Numbers: [75, 79]
Generated Node #0,3,1: 73:[75, 79] Operation: 73+6=79
Exploring Operation: 75-73=2, Resulting Numbers: [6, 2]
Generated Node #0,3,2: 73:[6, 2] Operation: 75-73=2
Exploring Operation: 73-6=67, Resulting Numbers: [75, 67]
Generated Node #0,3,3: 73:[75, 67] Operation: 73-6=67
Exploring Operation: 75-6=69, Resulting Numbers: [73, 69]
Generated Node #0,3,4: 73:[73, 69] Operation: 75-6=69
Moving to Node #0,3,4
Current State: 73:[73, 69], Operations: ['75-69=6', '75-6=69']
Exploring Operation: 73+69=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 73-69=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 73*69=5037, Resulting Numbers: [5037]
5037,73 unequal: No Solution
Moving to Node #0,3,1
Current State: 73:[75, 79], Operations: ['75-69=6', '73+6=79']
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,73 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[73, 81], Operations: ['75-69=6', '75+6=81']
Exploring Operation: 73*81=5913, Resulting Numbers: [5913]
5913,73 unequal: No Solution
Exploring Operation: 81-73=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 73+81=154, Resulting Numbers: [154]
154,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[75, 67], Operations: ['75-69=6', '73-6=67']
Exploring Operation: 75+67=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 75-67=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 75*67=5025, Resulting Numbers: [5025]
5025,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[6, 2], Operations: ['75-69=6', '75-73=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[75, 73, 144], Operations: ['75+69=144']
Exploring Operation: 75+73=148, Resulting Numbers: [144, 148]
Generated Node #0,0,0: 73:[144, 148] Operation: 75+73=148
Exploring Operation: 144-75=69, Resulting Numbers: [73, 69]
Generated Node #0,0,1: 73:[73, 69] Operation: 144-75=69
Exploring Operation: 75+144=219, Resulting Numbers: [73, 219]
Generated Node #0,0,2: 73:[73, 219] Operation: 75+144=219
Exploring Operation: 144-73=71, Resulting Numbers: [75, 71]
Generated Node #0,0,3: 73:[75, 71] Operation: 144-73=71
Exploring Operation: 75-73=2, Resulting Numbers: [144, 2]
Generated Node #0,0,4: 73:[144, 2] Operation: 75-73=2
Moving to Node #0,0,1
Current State: 73:[73, 69], Operations: ['75+69=144', '144-75=69']
Exploring Operation: 73+69=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 73-69=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 73*69=5037, Resulting Numbers: [5037]
5037,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[75, 71], Operations: ['75+69=144', '144-73=71']
Exploring Operation: 75+71=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 75*71=5325, Resulting Numbers: [5325]
5325,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[144, 2], Operations: ['75+69=144', '75-73=2']
Exploring Operation: 144*2=288, Resulting Numbers: [288]
288,73 unequal: No Solution
Exploring Operation: 144+2=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 144/2=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 144-2=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[144, 148], Operations: ['75+69=144', '75+73=148']
Exploring Operation: 148-144=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 144*148=21312, Resulting Numbers: [21312]
21312,73 unequal: No Solution
Exploring Operation: 144+148=292, Resulting Numbers: [292]
292,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[73, 219], Operations: ['75+69=144', '75+144=219']
Exploring Operation: 219-73=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 73*219=15987, Resulting Numbers: [15987]
15987,73 unequal: No Solution
Exploring Operation: 73+219=292, Resulting Numbers: [292]
292,73 unequal: No Solution
Exploring Operation: 219/73=3, Resulting Numbers: [3]
3,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[75, 73, 144], Operations: ['75+69=144']
Exploring Operation: 75+144=219, Resulting Numbers: [73, 219]
Generated Node #0,2,0: 73:[73, 219] Operation: 75+144=219
Exploring Operation: 75-73=2, Resulting Numbers: [144, 2]
Generated Node #0,2,1: 73:[144, 2] Operation: 75-73=2
Exploring Operation: 144-75=69, Resulting Numbers: [73, 69]
Generated Node #0,2,2: 73:[73, 69] Operation: 144-75=69
Exploring Operation: 75+73=148, Resulting Numbers: [144, 148]
Generated Node #0,2,3: 73:[144, 148] Operation: 75+73=148
Exploring Operation: 144-73=71, Resulting Numbers: [75, 71]
Generated Node #0,2,4: 73:[75, 71] Operation: 144-73=71
Moving to Node #0,2,2
Current State: 73:[73, 69], Operations: ['75+69=144', '144-75=69']
Exploring Operation: 73-69=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 73*69=5037, Resulting Numbers: [5037]
5037,73 unequal: No Solution
Exploring Operation: 73+69=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[75, 71], Operations: ['75+69=144', '144-73=71']
Exploring Operation: 75*71=5325, Resulting Numbers: [5325]
5325,73 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 75+71=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[144, 2], Operations: ['75+69=144', '75-73=2']
Exploring Operation: 144+2=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Exploring Operation: 144-2=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 144/2=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 144*2=288, Resulting Numbers: [288]
288,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[73, 219], Operations: ['75+69=144', '75+144=219']
Exploring Operation: 73+219=292, Resulting Numbers: [292]
292,73 unequal: No Solution
Exploring Operation: 73*219=15987, Resulting Numbers: [15987]
15987,73 unequal: No Solution
Exploring Operation: 219/73=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 219-73=146, Resulting Numbers: [146]
146,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[144, 148], Operations: ['75+69=144', '75+73=148']
Exploring Operation: 144*148=21312, Resulting Numbers: [21312]
21312,73 unequal: No Solution
Exploring Operation: 148-144=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 144+148=292, Resulting Numbers: [292]
292,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 73:[75, 75, 142], Operations: ['69+73=142']
Exploring Operation: 75+75=150, Resulting Numbers: [142, 150]
Generated Node #0,4,0: 73:[142, 150] Operation: 75+75=150
Exploring Operation: 142-75=67, Resulting Numbers: [75, 67]
Generated Node #0,4,1: 73:[75, 67] Operation: 142-75=67
Exploring Operation: 75-75=0, Resulting Numbers: [142, 0]
Generated Node #0,4,2: 73:[142, 0] Operation: 75-75=0
Exploring Operation: 75/75=1, Resulting Numbers: [142, 1]
Generated Node #0,4,3: 73:[142, 1] Operation: 75/75=1
Exploring Operation: 142-75=67, Resulting Numbers: [75, 67]
Generated Node #0,4,4: 73:[75, 67] Operation: 142-75=67
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 73:[75, 67], Operations: ['69+73=142', '142-75=67']
Exploring Operation: 75-67=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 75+67=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 75*67=5025, Resulting Numbers: [5025]
5025,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 73:[75, 67], Operations: ['69+73=142', '142-75=67']
Exploring Operation: 75+67=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 75-67=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 75*67=5025, Resulting Numbers: [5025]
5025,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 73:[142, 1], Operations: ['69+73=142', '75/75=1']
Exploring Operation: 142*1=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 142-1=141, Resulting Numbers: [141]
141,73 unequal: No Solution
Exploring Operation: 142+1=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 142/1=142, Resulting Numbers: [142]
142,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 73:[142, 0], Operations: ['69+73=142', '75-75=0']
Exploring Operation: 142+0=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 142-0=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 142*0=0, Resulting Numbers: [0]
0,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 73:[142, 150], Operations: ['69+73=142', '75+75=150']
Exploring Operation: 150-142=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 142*150=21300, Resulting Numbers: [21300]
21300,73 unequal: No Solution
Exploring Operation: 142+150=292, Resulting Numbers: [292]
292,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
14,
38,
8,
19
] | 84 |
[
"38/19=2",
"8-2=6",
"14*6=84"
] |
Current State: 84:[14, 38, 8, 19], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [14, 8, 2]
Generated Node #2: [14, 8, 2] from Operation: 38/19=2
Current State: 84:[14, 8, 2], Operations: ['38/19=2']
Exploring Operation: 8-2=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 8-2=6
Current State: 84:[14, 6], Operations: ['38/19=2', '8-2=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[14, 38, 8, 19], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [14, 19, 30]
Generated Node #0,0: 84:[14, 19, 30] Operation: 38-8=30
Exploring Operation: 8+19=27, Resulting Numbers: [14, 38, 27]
Generated Node #0,1: 84:[14, 38, 27] Operation: 8+19=27
Exploring Operation: 38/19=2, Resulting Numbers: [14, 8, 2]
Generated Node #0,2: 84:[14, 8, 2] Operation: 38/19=2
Exploring Operation: 38-19=19, Resulting Numbers: [14, 8, 19]
Generated Node #0,3: 84:[14, 8, 19] Operation: 38-19=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[14, 8, 2], Operations: ['38/19=2']
Exploring Operation: 8/2=4, Resulting Numbers: [14, 4]
Generated Node #0,2,0: 84:[14, 4] Operation: 8/2=4
Exploring Operation: 14-8=6, Resulting Numbers: [2, 6]
Generated Node #0,2,1: 84:[2, 6] Operation: 14-8=6
Exploring Operation: 14+8=22, Resulting Numbers: [2, 22]
Generated Node #0,2,2: 84:[2, 22] Operation: 14+8=22
Exploring Operation: 8-2=6, Resulting Numbers: [14, 6]
Generated Node #0,2,3: 84:[14, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[14, 4], Operations: ['38/19=2', '8/2=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 84:[2, 6], Operations: ['38/19=2', '14-8=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 84:[14, 6], Operations: ['38/19=2', '8-2=6']
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[14, 38, 8, 19], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [14, 8, 2]
Generated Node #0,2: 84:[14, 8, 2] Operation: 38/19=2
Moving to Node #0,2
Current State: 84:[14, 8, 2], Operations: ['38/19=2']
Exploring Operation: 8-2=6, Resulting Numbers: [14, 6]
Generated Node #0,2,3: 84:[14, 6] Operation: 8-2=6
Moving to Node #0,2,3
Current State: 84:[14, 6], Operations: ['38/19=2', '8-2=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 |
hs_4
|
sum_heuristic
|
[
20,
98,
94,
3
] | 48 |
[
"98-20=78",
"94-78=16",
"3*16=48"
] |
Current State: 48:[20, 98, 94, 3], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [94, 3, 78]
Generated Node #2: [94, 3, 78] from Operation: 98-20=78
Current State: 48:[94, 3, 78], Operations: ['98-20=78']
Exploring Operation: 94-78=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 94-78=16
Current State: 48:[3, 16], Operations: ['98-20=78', '94-78=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
Current State: 48:[20, 98, 94, 3], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [94, 3, 78]
Generated Node #0,0: 48:[94, 3, 78] Operation: 98-20=78
Exploring Operation: 94-20=74, Resulting Numbers: [98, 3, 74]
Generated Node #0,1: 48:[98, 3, 74] Operation: 94-20=74
Exploring Operation: 20+3=23, Resulting Numbers: [98, 94, 23]
Generated Node #0,2: 48:[98, 94, 23] Operation: 20+3=23
Exploring Operation: 98-94=4, Resulting Numbers: [20, 3, 4]
Generated Node #0,3: 48:[20, 3, 4] Operation: 98-94=4
Exploring Operation: 20-3=17, Resulting Numbers: [98, 94, 17]
Generated Node #0,4: 48:[98, 94, 17] Operation: 20-3=17
Start Sub Search at level 1: Moving to Node #0,3
Current State: 48:[20, 3, 4], Operations: ['98-94=4']
Exploring Operation: 20/4=5, Resulting Numbers: [3, 5]
Generated Node #0,3,0: 48:[3, 5] Operation: 20/4=5
Exploring Operation: 20+4=24, Resulting Numbers: [3, 24]
Generated Node #0,3,1: 48:[3, 24] Operation: 20+4=24
Exploring Operation: 20-4=16, Resulting Numbers: [3, 16]
Generated Node #0,3,2: 48:[3, 16] Operation: 20-4=16
Exploring Operation: 20-3=17, Resulting Numbers: [4, 17]
Generated Node #0,3,3: 48:[4, 17] Operation: 20-3=17
Exploring Operation: 20+3=23, Resulting Numbers: [4, 23]
Generated Node #0,3,4: 48:[4, 23] Operation: 20+3=23
Moving to Node #0,3,1
Current State: 48:[3, 24], Operations: ['98-94=4', '20+4=24']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,48 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[3, 16], Operations: ['98-94=4', '20-4=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,48 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[20, 98, 94, 3], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [20, 3, 4]
Generated Node #0,3: 48:[20, 3, 4] Operation: 98-94=4
Moving to Node #0,3
Current State: 48:[20, 3, 4], Operations: ['98-94=4']
Exploring Operation: 20-4=16, Resulting Numbers: [3, 16]
Generated Node #0,3,2: 48:[3, 16] Operation: 20-4=16
Moving to Node #0,3,2
Current State: 48:[3, 16], Operations: ['98-94=4', '20-4=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 |
hs_5
|
sum_heuristic
|
[
18,
56,
26,
86
] | 22 |
[
"56-18=38",
"86-26=60",
"60-38=22"
] |
Current State: 22:[18, 56, 26, 86], Operations: []
Exploring Operation: 56-18=38, Resulting Numbers: [26, 86, 38]
Generated Node #2: [26, 86, 38] from Operation: 56-18=38
Current State: 22:[26, 86, 38], Operations: ['56-18=38']
Exploring Operation: 86-26=60, Resulting Numbers: [38, 60]
Generated Node #3: [38, 60] from Operation: 86-26=60
Current State: 22:[38, 60], Operations: ['56-18=38', '86-26=60']
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[18, 56, 26, 86], Operations: []
Exploring Operation: 56-18=38, Resulting Numbers: [26, 86, 38]
Generated Node #0,0: 22:[26, 86, 38] Operation: 56-18=38
Exploring Operation: 86-26=60, Resulting Numbers: [18, 56, 60]
Generated Node #0,1: 22:[18, 56, 60] Operation: 86-26=60
Exploring Operation: 56-26=30, Resulting Numbers: [18, 86, 30]
Generated Node #0,2: 22:[18, 86, 30] Operation: 56-26=30
Exploring Operation: 86-56=30, Resulting Numbers: [18, 26, 30]
Generated Node #0,3: 22:[18, 26, 30] Operation: 86-56=30
Moving to Node #0,3
Current State: 22:[18, 26, 30], Operations: ['86-56=30']
Exploring Operation: 18+26=44, Resulting Numbers: [30, 44]
Generated Node #0,3,0: 22:[30, 44] Operation: 18+26=44
Exploring Operation: 30-26=4, Resulting Numbers: [18, 4]
Generated Node #0,3,1: 22:[18, 4] Operation: 30-26=4
Exploring Operation: 26-18=8, Resulting Numbers: [30, 8]
Generated Node #0,3,2: 22:[30, 8] Operation: 26-18=8
Exploring Operation: 30-18=12, Resulting Numbers: [26, 12]
Generated Node #0,3,3: 22:[26, 12] Operation: 30-18=12
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 22:[26, 12], Operations: ['86-56=30', '30-18=12']
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,22 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Exploring Operation: 26*12=312, Resulting Numbers: [312]
312,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 22:[18, 4], Operations: ['86-56=30', '30-26=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[18, 56, 26, 86], Operations: []
Exploring Operation: 86-56=30, Resulting Numbers: [18, 26, 30]
Generated Node #0,3: 22:[18, 26, 30] Operation: 86-56=30
Moving to Node #0,3
Current State: 22:[18, 26, 30], Operations: ['86-56=30']
Exploring Operation: 30-26=4, Resulting Numbers: [18, 4]
Generated Node #0,3,1: 22:[18, 4] Operation: 30-26=4
Moving to Node #0,3,1
Current State: 22:[18, 4], Operations: ['86-56=30', '30-26=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_4
|
mult_heuristic
|
[
11,
65,
16,
16
] | 11 |
[
"16-16=0",
"65*0=0",
"11+0=11"
] |
Current State: 11:[11, 65, 16, 16], Operations: []
Exploring Operation: 16-16=0, Resulting Numbers: [11, 65, 0]
Generated Node #2: [11, 65, 0] from Operation: 16-16=0
Current State: 11:[11, 65, 0], Operations: ['16-16=0']
Exploring Operation: 65*0=0, Resulting Numbers: [11, 0]
Generated Node #3: [11, 0] from Operation: 65*0=0
Current State: 11:[11, 0], Operations: ['16-16=0', '65*0=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[11, 65, 16, 16], Operations: []
Exploring Operation: 65-16=49, Resulting Numbers: [11, 16, 49]
Generated Node #0,0: 11:[11, 16, 49] Operation: 65-16=49
Exploring Operation: 65-16=49, Resulting Numbers: [11, 16, 49]
Generated Node #0,1: 11:[11, 16, 49] Operation: 65-16=49
Moving to Node #0,0
Current State: 11:[11, 16, 49], Operations: ['65-16=49']
Exploring Operation: 49-11=38, Resulting Numbers: [16, 38]
Generated Node #0,0,0: 11:[16, 38] Operation: 49-11=38
Exploring Operation: 49-16=33, Resulting Numbers: [11, 33]
Generated Node #0,0,1: 11:[11, 33] Operation: 49-16=33
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[11, 33], Operations: ['65-16=49', '49-16=33']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[16, 38], Operations: ['65-16=49', '49-11=38']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 11:[11, 16, 49], Operations: ['65-16=49']
Exploring Operation: 49-16=33, Resulting Numbers: [11, 33]
Generated Node #0,1,0: 11:[11, 33] Operation: 49-16=33
Exploring Operation: 49-11=38, Resulting Numbers: [16, 38]
Generated Node #0,1,1: 11:[16, 38] Operation: 49-11=38
Moving to Node #0,1,0
Current State: 11:[11, 33], Operations: ['65-16=49', '49-16=33']
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[16, 38], Operations: ['65-16=49', '49-11=38']
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,11 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,11 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
32,
61,
40,
66
] | 67 |
[
"32+61=93",
"66-40=26",
"93-26=67"
] |
Current State: 67:[32, 61, 40, 66], Operations: []
Exploring Operation: 32+61=93, Resulting Numbers: [40, 66, 93]
Generated Node #2: [40, 66, 93] from Operation: 32+61=93
Current State: 67:[40, 66, 93], Operations: ['32+61=93']
Exploring Operation: 66-40=26, Resulting Numbers: [93, 26]
Generated Node #3: [93, 26] from Operation: 66-40=26
Current State: 67:[93, 26], Operations: ['32+61=93', '66-40=26']
Exploring Operation: 93-26=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[32, 61, 40, 66], Operations: []
Exploring Operation: 32+40=72, Resulting Numbers: [61, 66, 72]
Generated Node #0,0: 67:[61, 66, 72] Operation: 32+40=72
Moving to Node #0,0
Current State: 67:[61, 66, 72], Operations: ['32+40=72']
Exploring Operation: 72-61=11, Resulting Numbers: [66, 11]
Generated Node #0,0,0: 67:[66, 11] Operation: 72-61=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[66, 11], Operations: ['32+40=72', '72-61=11']
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
57,
75,
63,
1
] | 69 |
[
"57+75=132",
"63*1=63",
"132-63=69"
] |
Current State: 69:[57, 75, 63, 1], Operations: []
Exploring Operation: 57+75=132, Resulting Numbers: [63, 1, 132]
Generated Node #2: [63, 1, 132] from Operation: 57+75=132
Current State: 69:[63, 1, 132], Operations: ['57+75=132']
Exploring Operation: 63*1=63, Resulting Numbers: [132, 63]
Generated Node #3: [132, 63] from Operation: 63*1=63
Current State: 69:[132, 63], Operations: ['57+75=132', '63*1=63']
Exploring Operation: 132-63=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[57, 75, 63, 1], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [75, 1, 6]
Generated Node #0,0: 69:[75, 1, 6] Operation: 63-57=6
Exploring Operation: 75-57=18, Resulting Numbers: [63, 1, 18]
Generated Node #0,1: 69:[63, 1, 18] Operation: 75-57=18
Moving to Node #0,0
Current State: 69:[75, 1, 6], Operations: ['63-57=6']
Exploring Operation: 75-6=69, Resulting Numbers: [1, 69]
Generated Node #0,0,0: 69:[1, 69] Operation: 75-6=69
Exploring Operation: 75-1=74, Resulting Numbers: [6, 74]
Generated Node #0,0,1: 69:[6, 74] Operation: 75-1=74
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[1, 69], Operations: ['63-57=6', '75-6=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[57, 75, 63, 1], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [75, 1, 6]
Generated Node #0,0: 69:[75, 1, 6] Operation: 63-57=6
Moving to Node #0,0
Current State: 69:[75, 1, 6], Operations: ['63-57=6']
Exploring Operation: 75-6=69, Resulting Numbers: [1, 69]
Generated Node #0,0,0: 69:[1, 69] Operation: 75-6=69
Moving to Node #0,0,0
Current State: 69:[1, 69], Operations: ['63-57=6', '75-6=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
sum_heuristic
|
[
27,
24,
61,
37
] | 75 |
[
"27+24=51",
"61-37=24",
"51+24=75"
] |
Current State: 75:[27, 24, 61, 37], Operations: []
Exploring Operation: 27+24=51, Resulting Numbers: [61, 37, 51]
Generated Node #2: [61, 37, 51] from Operation: 27+24=51
Current State: 75:[61, 37, 51], Operations: ['27+24=51']
Exploring Operation: 61-37=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 61-37=24
Current State: 75:[51, 24], Operations: ['27+24=51', '61-37=24']
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[27, 24, 61, 37], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [27, 61, 13]
Generated Node #0,0: 75:[27, 61, 13] Operation: 37-24=13
Exploring Operation: 61-37=24, Resulting Numbers: [27, 24, 24]
Generated Node #0,1: 75:[27, 24, 24] Operation: 61-37=24
Moving to Node #0,1
Current State: 75:[27, 24, 24], Operations: ['61-37=24']
Exploring Operation: 27-24=3, Resulting Numbers: [24, 3]
Generated Node #0,1,0: 75:[24, 3] Operation: 27-24=3
Exploring Operation: 27-24=3, Resulting Numbers: [24, 3]
Generated Node #0,1,1: 75:[24, 3] Operation: 27-24=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[24, 3], Operations: ['61-37=24', '27-24=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[24, 3], Operations: ['61-37=24', '27-24=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 75:[27, 61, 13], Operations: ['37-24=13']
Exploring Operation: 61+13=74, Resulting Numbers: [27, 74]
Generated Node #0,0,0: 75:[27, 74] Operation: 61+13=74
Exploring Operation: 61-27=34, Resulting Numbers: [13, 34]
Generated Node #0,0,1: 75:[13, 34] Operation: 61-27=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[27, 74], Operations: ['37-24=13', '61+13=74']
Exploring Operation: 27+74=101, Resulting Numbers: [101]
101,75 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[13, 34], Operations: ['37-24=13', '61-27=34']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 13+34=47, Resulting Numbers: [47]
47,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
88,
75,
61,
42
] | 91 |
[
"75-61=14",
"42/14=3",
"88+3=91"
] |
Current State: 91:[88, 75, 61, 42], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [88, 42, 14]
Generated Node #2: [88, 42, 14] from Operation: 75-61=14
Current State: 91:[88, 42, 14], Operations: ['75-61=14']
Exploring Operation: 42/14=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 42/14=3
Current State: 91:[88, 3], Operations: ['75-61=14', '42/14=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
Current State: 91:[88, 75, 61, 42], Operations: []
Exploring Operation: 61+42=103, Resulting Numbers: [88, 75, 103]
Generated Node #0,0: 91:[88, 75, 103] Operation: 61+42=103
Exploring Operation: 61-42=19, Resulting Numbers: [88, 75, 19]
Generated Node #0,1: 91:[88, 75, 19] Operation: 61-42=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[88, 75, 19], Operations: ['61-42=19']
Exploring Operation: 88-75=13, Resulting Numbers: [19, 13]
Generated Node #0,1,0: 91:[19, 13] Operation: 88-75=13
Exploring Operation: 75+19=94, Resulting Numbers: [88, 94]
Generated Node #0,1,1: 91:[88, 94] Operation: 75+19=94
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 91:[19, 13], Operations: ['61-42=19', '88-75=13']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 91:[88, 94], Operations: ['61-42=19', '75+19=94']
Exploring Operation: 88+94=182, Resulting Numbers: [182]
182,91 unequal: No Solution
Exploring Operation: 94-88=6, Resulting Numbers: [6]
6,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[88, 75, 103], Operations: ['61+42=103']
Exploring Operation: 103-88=15, Resulting Numbers: [75, 15]
Generated Node #0,0,0: 91:[75, 15] Operation: 103-88=15
Exploring Operation: 88-75=13, Resulting Numbers: [103, 13]
Generated Node #0,0,1: 91:[103, 13] Operation: 88-75=13
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[103, 13], Operations: ['61+42=103', '88-75=13']
Exploring Operation: 103-13=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 103+13=116, Resulting Numbers: [116]
116,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[75, 15], Operations: ['61+42=103', '103-88=15']
Exploring Operation: 75+15=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
45,
75,
3,
99
] | 39 |
[
"45*3=135",
"75+99=174",
"174-135=39"
] |
Current State: 39:[45, 75, 3, 99], Operations: []
Exploring Operation: 45*3=135, Resulting Numbers: [75, 99, 135]
Generated Node #2: [75, 99, 135] from Operation: 45*3=135
Current State: 39:[75, 99, 135], Operations: ['45*3=135']
Exploring Operation: 75+99=174, Resulting Numbers: [135, 174]
Generated Node #3: [135, 174] from Operation: 75+99=174
Current State: 39:[135, 174], Operations: ['45*3=135', '75+99=174']
Exploring Operation: 174-135=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[45, 75, 3, 99], Operations: []
Exploring Operation: 99-75=24, Resulting Numbers: [45, 3, 24]
Generated Node #0,0: 39:[45, 3, 24] Operation: 99-75=24
Moving to Node #0,0
Current State: 39:[45, 3, 24], Operations: ['99-75=24']
Exploring Operation: 45-24=21, Resulting Numbers: [3, 21]
Generated Node #0,0,0: 39:[3, 21] Operation: 45-24=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[3, 21], Operations: ['99-75=24', '45-24=21']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
34,
10,
82,
40
] | 52 |
[
"82-34=48",
"40/10=4",
"48+4=52"
] |
Current State: 52:[34, 10, 82, 40], Operations: []
Exploring Operation: 82-34=48, Resulting Numbers: [10, 40, 48]
Generated Node #2: [10, 40, 48] from Operation: 82-34=48
Current State: 52:[10, 40, 48], Operations: ['82-34=48']
Exploring Operation: 40/10=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 40/10=4
Current State: 52:[48, 4], Operations: ['82-34=48', '40/10=4']
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[34, 10, 82, 40], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [10, 82, 6]
Generated Node #0,0: 52:[10, 82, 6] Operation: 40-34=6
Exploring Operation: 40/10=4, Resulting Numbers: [34, 82, 4]
Generated Node #0,1: 52:[34, 82, 4] Operation: 40/10=4
Exploring Operation: 82-10=72, Resulting Numbers: [34, 40, 72]
Generated Node #0,2: 52:[34, 40, 72] Operation: 82-10=72
Exploring Operation: 82-34=48, Resulting Numbers: [10, 40, 48]
Generated Node #0,3: 52:[10, 40, 48] Operation: 82-34=48
Exploring Operation: 82-40=42, Resulting Numbers: [34, 10, 42]
Generated Node #0,4: 52:[34, 10, 42] Operation: 82-40=42
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[10, 40, 48], Operations: ['82-34=48']
Exploring Operation: 40-10=30, Resulting Numbers: [48, 30]
Generated Node #0,3,0: 52:[48, 30] Operation: 40-10=30
Exploring Operation: 10+48=58, Resulting Numbers: [40, 58]
Generated Node #0,3,1: 52:[40, 58] Operation: 10+48=58
Exploring Operation: 10+40=50, Resulting Numbers: [48, 50]
Generated Node #0,3,2: 52:[48, 50] Operation: 10+40=50
Exploring Operation: 40/10=4, Resulting Numbers: [48, 4]
Generated Node #0,3,3: 52:[48, 4] Operation: 40/10=4
Exploring Operation: 48-40=8, Resulting Numbers: [10, 8]
Generated Node #0,3,4: 52:[10, 8] Operation: 48-40=8
Moving to Node #0,3,3
Current State: 52:[48, 4], Operations: ['82-34=48', '40/10=4']
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,52 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[34, 10, 82, 40], Operations: []
Exploring Operation: 82-34=48, Resulting Numbers: [10, 40, 48]
Generated Node #0,3: 52:[10, 40, 48] Operation: 82-34=48
Moving to Node #0,3
Current State: 52:[10, 40, 48], Operations: ['82-34=48']
Exploring Operation: 40/10=4, Resulting Numbers: [48, 4]
Generated Node #0,3,3: 52:[48, 4] Operation: 40/10=4
Moving to Node #0,3,3
Current State: 52:[48, 4], Operations: ['82-34=48', '40/10=4']
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
mult_heuristic
|
[
31,
2,
74,
63
] | 83 |
[
"74-31=43",
"2*63=126",
"126-43=83"
] |
Current State: 83:[31, 2, 74, 63], Operations: []
Exploring Operation: 74-31=43, Resulting Numbers: [2, 63, 43]
Generated Node #2: [2, 63, 43] from Operation: 74-31=43
Current State: 83:[2, 63, 43], Operations: ['74-31=43']
Exploring Operation: 2*63=126, Resulting Numbers: [43, 126]
Generated Node #3: [43, 126] from Operation: 2*63=126
Current State: 83:[43, 126], Operations: ['74-31=43', '2*63=126']
Exploring Operation: 126-43=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
Current State: 83:[31, 2, 74, 63], Operations: []
Exploring Operation: 2+74=76, Resulting Numbers: [31, 63, 76]
Generated Node #0,0: 83:[31, 63, 76] Operation: 2+74=76
Exploring Operation: 31*2=62, Resulting Numbers: [74, 63, 62]
Generated Node #0,1: 83:[74, 63, 62] Operation: 31*2=62
Exploring Operation: 31+2=33, Resulting Numbers: [74, 63, 33]
Generated Node #0,2: 83:[74, 63, 33] Operation: 31+2=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[74, 63, 62], Operations: ['31*2=62']
Exploring Operation: 74+63=137, Resulting Numbers: [62, 137]
Generated Node #0,1,0: 83:[62, 137] Operation: 74+63=137
Exploring Operation: 63+62=125, Resulting Numbers: [74, 125]
Generated Node #0,1,1: 83:[74, 125] Operation: 63+62=125
Exploring Operation: 74+62=136, Resulting Numbers: [63, 136]
Generated Node #0,1,2: 83:[63, 136] Operation: 74+62=136
Moving to Node #0,1,1
Current State: 83:[74, 125], Operations: ['31*2=62', '63+62=125']
Exploring Operation: 125-74=51, Resulting Numbers: [51]
51,83 unequal: No Solution
Exploring Operation: 74+125=199, Resulting Numbers: [199]
199,83 unequal: No Solution
Exploring Operation: 74*125=9250, Resulting Numbers: [9250]
9250,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[63, 136], Operations: ['31*2=62', '74+62=136']
Exploring Operation: 136-63=73, Resulting Numbers: [73]
73,83 unequal: No Solution
Exploring Operation: 63+136=199, Resulting Numbers: [199]
199,83 unequal: No Solution
Exploring Operation: 63*136=8568, Resulting Numbers: [8568]
8568,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[62, 137], Operations: ['31*2=62', '74+63=137']
Exploring Operation: 137-62=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 62*137=8494, Resulting Numbers: [8494]
8494,83 unequal: No Solution
Exploring Operation: 62+137=199, Resulting Numbers: [199]
199,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[31, 63, 76], Operations: ['2+74=76']
Exploring Operation: 31+63=94, Resulting Numbers: [76, 94]
Generated Node #0,0,0: 83:[76, 94] Operation: 31+63=94
Exploring Operation: 31+76=107, Resulting Numbers: [63, 107]
Generated Node #0,0,1: 83:[63, 107] Operation: 31+76=107
Exploring Operation: 63-31=32, Resulting Numbers: [76, 32]
Generated Node #0,0,2: 83:[76, 32] Operation: 63-31=32
Moving to Node #0,0,0
Current State: 83:[76, 94], Operations: ['2+74=76', '31+63=94']
Exploring Operation: 94-76=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 76*94=7144, Resulting Numbers: [7144]
7144,83 unequal: No Solution
Exploring Operation: 76+94=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[63, 107], Operations: ['2+74=76', '31+76=107']
Exploring Operation: 63+107=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Exploring Operation: 107-63=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 63*107=6741, Resulting Numbers: [6741]
6741,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[76, 32], Operations: ['2+74=76', '63-31=32']
Exploring Operation: 76+32=108, Resulting Numbers: [108]
108,83 unequal: No Solution
Exploring Operation: 76*32=2432, Resulting Numbers: [2432]
2432,83 unequal: No Solution
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[74, 63, 33], Operations: ['31+2=33']
Exploring Operation: 74-33=41, Resulting Numbers: [63, 41]
Generated Node #0,2,0: 83:[63, 41] Operation: 74-33=41
Exploring Operation: 74+33=107, Resulting Numbers: [63, 107]
Generated Node #0,2,1: 83:[63, 107] Operation: 74+33=107
Exploring Operation: 63+33=96, Resulting Numbers: [74, 96]
Generated Node #0,2,2: 83:[74, 96] Operation: 63+33=96
Moving to Node #0,2,2
Current State: 83:[74, 96], Operations: ['31+2=33', '63+33=96']
Exploring Operation: 74*96=7104, Resulting Numbers: [7104]
7104,83 unequal: No Solution
Exploring Operation: 74+96=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[63, 107], Operations: ['31+2=33', '74+33=107']
Exploring Operation: 63*107=6741, Resulting Numbers: [6741]
6741,83 unequal: No Solution
Exploring Operation: 63+107=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Exploring Operation: 107-63=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[63, 41], Operations: ['31+2=33', '74-33=41']
Exploring Operation: 63+41=104, Resulting Numbers: [104]
104,83 unequal: No Solution
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 63*41=2583, Resulting Numbers: [2583]
2583,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
8,
94,
25,
50
] | 27 |
[
"8+94=102",
"25+50=75",
"102-75=27"
] |
Current State: 27:[8, 94, 25, 50], Operations: []
Exploring Operation: 8+94=102, Resulting Numbers: [25, 50, 102]
Generated Node #2: [25, 50, 102] from Operation: 8+94=102
Current State: 27:[25, 50, 102], Operations: ['8+94=102']
Exploring Operation: 25+50=75, Resulting Numbers: [102, 75]
Generated Node #3: [102, 75] from Operation: 25+50=75
Current State: 27:[102, 75], Operations: ['8+94=102', '25+50=75']
Exploring Operation: 102-75=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
Current State: 27:[8, 94, 25, 50], Operations: []
Exploring Operation: 94-25=69, Resulting Numbers: [8, 50, 69]
Generated Node #0,0: 27:[8, 50, 69] Operation: 94-25=69
Exploring Operation: 50/25=2, Resulting Numbers: [8, 94, 2]
Generated Node #0,1: 27:[8, 94, 2] Operation: 50/25=2
Exploring Operation: 50-25=25, Resulting Numbers: [8, 94, 25]
Generated Node #0,2: 27:[8, 94, 25] Operation: 50-25=25
Exploring Operation: 94-50=44, Resulting Numbers: [8, 25, 44]
Generated Node #0,3: 27:[8, 25, 44] Operation: 94-50=44
Moving to Node #0,3
Current State: 27:[8, 25, 44], Operations: ['94-50=44']
Exploring Operation: 25-8=17, Resulting Numbers: [44, 17]
Generated Node #0,3,0: 27:[44, 17] Operation: 25-8=17
Exploring Operation: 8+25=33, Resulting Numbers: [44, 33]
Generated Node #0,3,1: 27:[44, 33] Operation: 8+25=33
Exploring Operation: 44-8=36, Resulting Numbers: [25, 36]
Generated Node #0,3,2: 27:[25, 36] Operation: 44-8=36
Exploring Operation: 44-25=19, Resulting Numbers: [8, 19]
Generated Node #0,3,3: 27:[8, 19] Operation: 44-25=19
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 27:[8, 19], Operations: ['94-50=44', '44-25=19']
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[8, 94, 25, 50], Operations: []
Exploring Operation: 94-50=44, Resulting Numbers: [8, 25, 44]
Generated Node #0,3: 27:[8, 25, 44] Operation: 94-50=44
Moving to Node #0,3
Current State: 27:[8, 25, 44], Operations: ['94-50=44']
Exploring Operation: 44-25=19, Resulting Numbers: [8, 19]
Generated Node #0,3,3: 27:[8, 19] Operation: 44-25=19
Moving to Node #0,3,3
Current State: 27:[8, 19], Operations: ['94-50=44', '44-25=19']
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_4
|
mult_heuristic
|
[
37,
12,
8,
11
] | 75 |
[
"37-12=25",
"11-8=3",
"25*3=75"
] |
Current State: 75:[37, 12, 8, 11], Operations: []
Exploring Operation: 37-12=25, Resulting Numbers: [8, 11, 25]
Generated Node #2: [8, 11, 25] from Operation: 37-12=25
Current State: 75:[8, 11, 25], Operations: ['37-12=25']
Exploring Operation: 11-8=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 11-8=3
Current State: 75:[25, 3], Operations: ['37-12=25', '11-8=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[37, 12, 8, 11], Operations: []
Exploring Operation: 37-12=25, Resulting Numbers: [8, 11, 25]
Generated Node #0,0: 75:[8, 11, 25] Operation: 37-12=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[8, 11, 25], Operations: ['37-12=25']
Exploring Operation: 11-8=3, Resulting Numbers: [25, 3]
Generated Node #0,0,0: 75:[25, 3] Operation: 11-8=3
Moving to Node #0,0,0
Current State: 75:[25, 3], Operations: ['37-12=25', '11-8=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[37, 12, 8, 11], Operations: []
Exploring Operation: 37-12=25, Resulting Numbers: [8, 11, 25]
Generated Node #0,0: 75:[8, 11, 25] Operation: 37-12=25
Moving to Node #0,0
Current State: 75:[8, 11, 25], Operations: ['37-12=25']
Exploring Operation: 11-8=3, Resulting Numbers: [25, 3]
Generated Node #0,0,0: 75:[25, 3] Operation: 11-8=3
Moving to Node #0,0,0
Current State: 75:[25, 3], Operations: ['37-12=25', '11-8=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
35,
43,
85,
90
] | 97 |
[
"35+43=78",
"85+90=175",
"175-78=97"
] |
Current State: 97:[35, 43, 85, 90], Operations: []
Exploring Operation: 35+43=78, Resulting Numbers: [85, 90, 78]
Generated Node #2: [85, 90, 78] from Operation: 35+43=78
Current State: 97:[85, 90, 78], Operations: ['35+43=78']
Exploring Operation: 85+90=175, Resulting Numbers: [78, 175]
Generated Node #3: [78, 175] from Operation: 85+90=175
Current State: 97:[78, 175], Operations: ['35+43=78', '85+90=175']
Exploring Operation: 175-78=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[35, 43, 85, 90], Operations: []
Exploring Operation: 35+43=78, Resulting Numbers: [85, 90, 78]
Generated Node #0,0: 97:[85, 90, 78] Operation: 35+43=78
Exploring Operation: 35+85=120, Resulting Numbers: [43, 90, 120]
Generated Node #0,1: 97:[43, 90, 120] Operation: 35+85=120
Exploring Operation: 35+90=125, Resulting Numbers: [43, 85, 125]
Generated Node #0,2: 97:[43, 85, 125] Operation: 35+90=125
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[85, 90, 78], Operations: ['35+43=78']
Exploring Operation: 85+78=163, Resulting Numbers: [90, 163]
Generated Node #0,0,0: 97:[90, 163] Operation: 85+78=163
Exploring Operation: 85+90=175, Resulting Numbers: [78, 175]
Generated Node #0,0,1: 97:[78, 175] Operation: 85+90=175
Exploring Operation: 90+78=168, Resulting Numbers: [85, 168]
Generated Node #0,0,2: 97:[85, 168] Operation: 90+78=168
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[90, 163], Operations: ['35+43=78', '85+78=163']
Exploring Operation: 90+163=253, Resulting Numbers: [253]
253,97 unequal: No Solution
Exploring Operation: 90*163=14670, Resulting Numbers: [14670]
14670,97 unequal: No Solution
Exploring Operation: 163-90=73, Resulting Numbers: [73]
73,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[85, 168], Operations: ['35+43=78', '90+78=168']
Exploring Operation: 85+168=253, Resulting Numbers: [253]
253,97 unequal: No Solution
Exploring Operation: 168-85=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 85*168=14280, Resulting Numbers: [14280]
14280,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[78, 175], Operations: ['35+43=78', '85+90=175']
Exploring Operation: 175-78=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[35, 43, 85, 90], Operations: []
Exploring Operation: 35+43=78, Resulting Numbers: [85, 90, 78]
Generated Node #0,0: 97:[85, 90, 78] Operation: 35+43=78
Moving to Node #0,0
Current State: 97:[85, 90, 78], Operations: ['35+43=78']
Exploring Operation: 85+90=175, Resulting Numbers: [78, 175]
Generated Node #0,0,1: 97:[78, 175] Operation: 85+90=175
Moving to Node #0,0,1
Current State: 97:[78, 175], Operations: ['35+43=78', '85+90=175']
Exploring Operation: 175-78=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 |
hs_3
|
sum_heuristic
|
[
7,
5,
20,
15
] | 20 |
[
"15-7=8",
"5*8=40",
"40-20=20"
] |
Current State: 20:[7, 5, 20, 15], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [5, 20, 8]
Generated Node #2: [5, 20, 8] from Operation: 15-7=8
Current State: 20:[5, 20, 8], Operations: ['15-7=8']
Exploring Operation: 5*8=40, Resulting Numbers: [20, 40]
Generated Node #3: [20, 40] from Operation: 5*8=40
Current State: 20:[20, 40], Operations: ['15-7=8', '5*8=40']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
Current State: 20:[7, 5, 20, 15], Operations: []
Exploring Operation: 7+15=22, Resulting Numbers: [5, 20, 22]
Generated Node #0,0: 20:[5, 20, 22] Operation: 7+15=22
Exploring Operation: 15-7=8, Resulting Numbers: [5, 20, 8]
Generated Node #0,1: 20:[5, 20, 8] Operation: 15-7=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[5, 20, 22], Operations: ['7+15=22']
Exploring Operation: 22-20=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 20:[5, 2] Operation: 22-20=2
Exploring Operation: 20/5=4, Resulting Numbers: [22, 4]
Generated Node #0,0,1: 20:[22, 4] Operation: 20/5=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[5, 2], Operations: ['7+15=22', '22-20=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 20:[22, 4], Operations: ['7+15=22', '20/5=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[5, 20, 8], Operations: ['15-7=8']
Exploring Operation: 20/5=4, Resulting Numbers: [8, 4]
Generated Node #0,1,0: 20:[8, 4] Operation: 20/5=4
Exploring Operation: 8-5=3, Resulting Numbers: [20, 3]
Generated Node #0,1,1: 20:[20, 3] Operation: 8-5=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[20, 3], Operations: ['15-7=8', '8-5=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 20:[8, 4], Operations: ['15-7=8', '20/5=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
57,
14,
94,
46
] | 67 |
[
"94+46=140",
"140/14=10",
"57+10=67"
] |
Current State: 67:[57, 14, 94, 46], Operations: []
Exploring Operation: 94+46=140, Resulting Numbers: [57, 14, 140]
Generated Node #2: [57, 14, 140] from Operation: 94+46=140
Current State: 67:[57, 14, 140], Operations: ['94+46=140']
Exploring Operation: 140/14=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 140/14=10
Current State: 67:[57, 10], Operations: ['94+46=140', '140/14=10']
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[57, 14, 94, 46], Operations: []
Exploring Operation: 57+14=71, Resulting Numbers: [94, 46, 71]
Generated Node #0,0: 67:[94, 46, 71] Operation: 57+14=71
Exploring Operation: 57-14=43, Resulting Numbers: [94, 46, 43]
Generated Node #0,1: 67:[94, 46, 43] Operation: 57-14=43
Exploring Operation: 14+94=108, Resulting Numbers: [57, 46, 108]
Generated Node #0,2: 67:[57, 46, 108] Operation: 14+94=108
Exploring Operation: 94-14=80, Resulting Numbers: [57, 46, 80]
Generated Node #0,3: 67:[57, 46, 80] Operation: 94-14=80
Exploring Operation: 14+46=60, Resulting Numbers: [57, 94, 60]
Generated Node #0,4: 67:[57, 94, 60] Operation: 14+46=60
Moving to Node #0,3
Current State: 67:[57, 46, 80], Operations: ['94-14=80']
Exploring Operation: 57-46=11, Resulting Numbers: [80, 11]
Generated Node #0,3,0: 67:[80, 11] Operation: 57-46=11
Exploring Operation: 57+46=103, Resulting Numbers: [80, 103]
Generated Node #0,3,1: 67:[80, 103] Operation: 57+46=103
Exploring Operation: 80-46=34, Resulting Numbers: [57, 34]
Generated Node #0,3,2: 67:[57, 34] Operation: 80-46=34
Exploring Operation: 80-57=23, Resulting Numbers: [46, 23]
Generated Node #0,3,3: 67:[46, 23] Operation: 80-57=23
Exploring Operation: 46+80=126, Resulting Numbers: [57, 126]
Generated Node #0,3,4: 67:[57, 126] Operation: 46+80=126
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 67:[57, 34], Operations: ['94-14=80', '80-46=34']
Exploring Operation: 57+34=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 57-34=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 57*34=1938, Resulting Numbers: [1938]
1938,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 67:[80, 103], Operations: ['94-14=80', '57+46=103']
Exploring Operation: 80*103=8240, Resulting Numbers: [8240]
8240,67 unequal: No Solution
Exploring Operation: 80+103=183, Resulting Numbers: [183]
183,67 unequal: No Solution
Exploring Operation: 103-80=23, Resulting Numbers: [23]
23,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 67:[46, 23], Operations: ['94-14=80', '80-57=23']
Exploring Operation: 46+23=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 46*23=1058, Resulting Numbers: [1058]
1058,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 67:[80, 11], Operations: ['94-14=80', '57-46=11']
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 80*11=880, Resulting Numbers: [880]
880,67 unequal: No Solution
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 67:[57, 126], Operations: ['94-14=80', '46+80=126']
Exploring Operation: 126-57=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 57+126=183, Resulting Numbers: [183]
183,67 unequal: No Solution
Exploring Operation: 57*126=7182, Resulting Numbers: [7182]
7182,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 67:[57, 94, 60], Operations: ['14+46=60']
Exploring Operation: 57+60=117, Resulting Numbers: [94, 117]
Generated Node #0,4,0: 67:[94, 117] Operation: 57+60=117
Exploring Operation: 60-57=3, Resulting Numbers: [94, 3]
Generated Node #0,4,1: 67:[94, 3] Operation: 60-57=3
Exploring Operation: 57+94=151, Resulting Numbers: [60, 151]
Generated Node #0,4,2: 67:[60, 151] Operation: 57+94=151
Exploring Operation: 94-57=37, Resulting Numbers: [60, 37]
Generated Node #0,4,3: 67:[60, 37] Operation: 94-57=37
Exploring Operation: 94-60=34, Resulting Numbers: [57, 34]
Generated Node #0,4,4: 67:[57, 34] Operation: 94-60=34
Moving to Node #0,0
Current State: 67:[94, 46, 71], Operations: ['57+14=71']
Exploring Operation: 71-46=25, Resulting Numbers: [94, 25]
Generated Node #0,0,0: 67:[94, 25] Operation: 71-46=25
Exploring Operation: 46+71=117, Resulting Numbers: [94, 117]
Generated Node #0,0,1: 67:[94, 117] Operation: 46+71=117
Exploring Operation: 94-46=48, Resulting Numbers: [71, 48]
Generated Node #0,0,2: 67:[71, 48] Operation: 94-46=48
Exploring Operation: 94+46=140, Resulting Numbers: [71, 140]
Generated Node #0,0,3: 67:[71, 140] Operation: 94+46=140
Exploring Operation: 94-71=23, Resulting Numbers: [46, 23]
Generated Node #0,0,4: 67:[46, 23] Operation: 94-71=23
Moving to Node #0,1
Current State: 67:[94, 46, 43], Operations: ['57-14=43']
Exploring Operation: 94-46=48, Resulting Numbers: [43, 48]
Generated Node #0,1,0: 67:[43, 48] Operation: 94-46=48
Exploring Operation: 94-43=51, Resulting Numbers: [46, 51]
Generated Node #0,1,1: 67:[46, 51] Operation: 94-43=51
Exploring Operation: 46+43=89, Resulting Numbers: [94, 89]
Generated Node #0,1,2: 67:[94, 89] Operation: 46+43=89
Exploring Operation: 94+43=137, Resulting Numbers: [46, 137]
Generated Node #0,1,3: 67:[46, 137] Operation: 94+43=137
Exploring Operation: 46-43=3, Resulting Numbers: [94, 3]
Generated Node #0,1,4: 67:[94, 3] Operation: 46-43=3
Moving to Node #0,2
Current State: 67:[57, 46, 108], Operations: ['14+94=108']
Exploring Operation: 57+46=103, Resulting Numbers: [108, 103]
Generated Node #0,2,0: 67:[108, 103] Operation: 57+46=103
Exploring Operation: 108-57=51, Resulting Numbers: [46, 51]
Generated Node #0,2,1: 67:[46, 51] Operation: 108-57=51
Exploring Operation: 108-46=62, Resulting Numbers: [57, 62]
Generated Node #0,2,2: 67:[57, 62] Operation: 108-46=62
Exploring Operation: 46+108=154, Resulting Numbers: [57, 154]
Generated Node #0,2,3: 67:[57, 154] Operation: 46+108=154
Exploring Operation: 57-46=11, Resulting Numbers: [108, 11]
Generated Node #0,2,4: 67:[108, 11] Operation: 57-46=11
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 67:[57, 62], Operations: ['14+94=108', '108-46=62']
Exploring Operation: 62-57=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 57+62=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 57*62=3534, Resulting Numbers: [3534]
3534,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 67:[46, 51], Operations: ['14+94=108', '108-57=51']
Exploring Operation: 46+51=97, Resulting Numbers: [97]
97,67 unequal: No Solution
Exploring Operation: 46*51=2346, Resulting Numbers: [2346]
2346,67 unequal: No Solution
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 67:[108, 103], Operations: ['14+94=108', '57+46=103']
Exploring Operation: 108*103=11124, Resulting Numbers: [11124]
11124,67 unequal: No Solution
Exploring Operation: 108-103=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 108+103=211, Resulting Numbers: [211]
211,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 67:[57, 154], Operations: ['14+94=108', '46+108=154']
Exploring Operation: 154-57=97, Resulting Numbers: [97]
97,67 unequal: No Solution
Exploring Operation: 57*154=8778, Resulting Numbers: [8778]
8778,67 unequal: No Solution
Exploring Operation: 57+154=211, Resulting Numbers: [211]
211,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 67:[108, 11], Operations: ['14+94=108', '57-46=11']
Exploring Operation: 108*11=1188, Resulting Numbers: [1188]
1188,67 unequal: No Solution
Exploring Operation: 108+11=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 108-11=97, Resulting Numbers: [97]
97,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 67:[71, 48], Operations: ['57+14=71', '94-46=48']
Exploring Operation: 71*48=3408, Resulting Numbers: [3408]
3408,67 unequal: No Solution
Exploring Operation: 71+48=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 71-48=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Moving to Node #0,4,3
Current State: 67:[60, 37], Operations: ['14+46=60', '94-57=37']
Exploring Operation: 60-37=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 60*37=2220, Resulting Numbers: [2220]
2220,67 unequal: No Solution
Exploring Operation: 60+37=97, Resulting Numbers: [97]
97,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[46, 51], Operations: ['57-14=43', '94-43=51']
Exploring Operation: 46*51=2346, Resulting Numbers: [2346]
2346,67 unequal: No Solution
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 46+51=97, Resulting Numbers: [97]
97,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[43, 48], Operations: ['57-14=43', '94-46=48']
Exploring Operation: 43+48=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 43*48=2064, Resulting Numbers: [2064]
2064,67 unequal: No Solution
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Moving to Node #0,4,4
Current State: 67:[57, 34], Operations: ['14+46=60', '94-60=34']
Exploring Operation: 57+34=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 57-34=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 57*34=1938, Resulting Numbers: [1938]
1938,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[94, 89], Operations: ['57-14=43', '46+43=89']
Exploring Operation: 94-89=5, Resulting Numbers: [5]
5,67 unequal: No Solution
Exploring Operation: 94*89=8366, Resulting Numbers: [8366]
8366,67 unequal: No Solution
Exploring Operation: 94+89=183, Resulting Numbers: [183]
183,67 unequal: No Solution
Moving to Node #0,0,4
Current State: 67:[46, 23], Operations: ['57+14=71', '94-71=23']
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 46*23=1058, Resulting Numbers: [1058]
1058,67 unequal: No Solution
Exploring Operation: 46+23=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[94, 25], Operations: ['57+14=71', '71-46=25']
Exploring Operation: 94+25=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 94*25=2350, Resulting Numbers: [2350]
2350,67 unequal: No Solution
Exploring Operation: 94-25=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Moving to Node #0,4,0
Current State: 67:[94, 117], Operations: ['14+46=60', '57+60=117']
Exploring Operation: 94*117=10998, Resulting Numbers: [10998]
10998,67 unequal: No Solution
Exploring Operation: 117-94=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Exploring Operation: 94+117=211, Resulting Numbers: [211]
211,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[71, 140], Operations: ['57+14=71', '94+46=140']
Exploring Operation: 71*140=9940, Resulting Numbers: [9940]
9940,67 unequal: No Solution
Exploring Operation: 140-71=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 71+140=211, Resulting Numbers: [211]
211,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[94, 117], Operations: ['57+14=71', '46+71=117']
Exploring Operation: 94+117=211, Resulting Numbers: [211]
211,67 unequal: No Solution
Exploring Operation: 94*117=10998, Resulting Numbers: [10998]
10998,67 unequal: No Solution
Exploring Operation: 117-94=23, Resulting Numbers: [23]
23,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[46, 137], Operations: ['57-14=43', '94+43=137']
Exploring Operation: 137-46=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 46*137=6302, Resulting Numbers: [6302]
6302,67 unequal: No Solution
Exploring Operation: 46+137=183, Resulting Numbers: [183]
183,67 unequal: No Solution
Moving to Node #0,4,2
Current State: 67:[60, 151], Operations: ['14+46=60', '57+94=151']
Exploring Operation: 151-60=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 60+151=211, Resulting Numbers: [211]
211,67 unequal: No Solution
Exploring Operation: 60*151=9060, Resulting Numbers: [9060]
9060,67 unequal: No Solution
Moving to Node #0,1,4
Current State: 67:[94, 3], Operations: ['57-14=43', '46-43=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,67 unequal: No Solution
Exploring Operation: 94*3=282, Resulting Numbers: [282]
282,67 unequal: No Solution
Moving to Node #0,4,1
Current State: 67:[94, 3], Operations: ['14+46=60', '60-57=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 94*3=282, Resulting Numbers: [282]
282,67 unequal: No Solution
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,67 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
18,
2,
9,
1
] | 53 |
[
"18+9=27",
"2*27=54",
"54-1=53"
] |
Current State: 53:[18, 2, 9, 1], Operations: []
Exploring Operation: 18+9=27, Resulting Numbers: [2, 1, 27]
Generated Node #2: [2, 1, 27] from Operation: 18+9=27
Current State: 53:[2, 1, 27], Operations: ['18+9=27']
Exploring Operation: 2*27=54, Resulting Numbers: [1, 54]
Generated Node #3: [1, 54] from Operation: 2*27=54
Current State: 53:[1, 54], Operations: ['18+9=27', '2*27=54']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
Current State: 53:[18, 2, 9, 1], Operations: []
Exploring Operation: 18+9=27, Resulting Numbers: [2, 1, 27]
Generated Node #0,0: 53:[2, 1, 27] Operation: 18+9=27
Exploring Operation: 18+1=19, Resulting Numbers: [2, 9, 19]
Generated Node #0,1: 53:[2, 9, 19] Operation: 18+1=19
Exploring Operation: 18*2=36, Resulting Numbers: [9, 1, 36]
Generated Node #0,2: 53:[9, 1, 36] Operation: 18*2=36
Exploring Operation: 18+2=20, Resulting Numbers: [9, 1, 20]
Generated Node #0,3: 53:[9, 1, 20] Operation: 18+2=20
Exploring Operation: 2*9=18, Resulting Numbers: [18, 1, 18]
Generated Node #0,4: 53:[18, 1, 18] Operation: 2*9=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[9, 1, 36], Operations: ['18*2=36']
Exploring Operation: 9+36=45, Resulting Numbers: [1, 45]
Generated Node #0,2,0: 53:[1, 45] Operation: 9+36=45
Exploring Operation: 9/1=9, Resulting Numbers: [36, 9]
Generated Node #0,2,1: 53:[36, 9] Operation: 9/1=9
Exploring Operation: 9+1=10, Resulting Numbers: [36, 10]
Generated Node #0,2,2: 53:[36, 10] Operation: 9+1=10
Exploring Operation: 9*1=9, Resulting Numbers: [36, 9]
Generated Node #0,2,3: 53:[36, 9] Operation: 9*1=9
Exploring Operation: 1+36=37, Resulting Numbers: [9, 37]
Generated Node #0,2,4: 53:[9, 37] Operation: 1+36=37
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 53:[1, 45], Operations: ['18*2=36', '9+36=45']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,53 unequal: No Solution
Exploring Operation: 1+45=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Exploring Operation: 1*45=45, Resulting Numbers: [45]
45,53 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 53:[36, 10], Operations: ['18*2=36', '9+1=10']
Exploring Operation: 36*10=360, Resulting Numbers: [360]
360,53 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,53 unequal: No Solution
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 53:[9, 37], Operations: ['18*2=36', '1+36=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,53 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 53:[36, 9], Operations: ['18*2=36', '9/1=9']
Exploring Operation: 36*9=324, Resulting Numbers: [324]
324,53 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,53 unequal: No Solution
Exploring Operation: 36+9=45, Resulting Numbers: [45]
45,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 53:[36, 9], Operations: ['18*2=36', '9*1=9']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,53 unequal: No Solution
Exploring Operation: 36+9=45, Resulting Numbers: [45]
45,53 unequal: No Solution
Exploring Operation: 36*9=324, Resulting Numbers: [324]
324,53 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 53:[18, 1, 18], Operations: ['2*9=18']
Exploring Operation: 18+1=19, Resulting Numbers: [18, 19]
Generated Node #0,4,0: 53:[18, 19] Operation: 18+1=19
Exploring Operation: 18+18=36, Resulting Numbers: [1, 36]
Generated Node #0,4,1: 53:[1, 36] Operation: 18+18=36
Exploring Operation: 18/1=18, Resulting Numbers: [18, 18]
Generated Node #0,4,2: 53:[18, 18] Operation: 18/1=18
Exploring Operation: 18*1=18, Resulting Numbers: [18, 18]
Generated Node #0,4,3: 53:[18, 18] Operation: 18*1=18
Exploring Operation: 1+18=19, Resulting Numbers: [18, 19]
Generated Node #0,4,4: 53:[18, 19] Operation: 1+18=19
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 53:[18, 19], Operations: ['2*9=18', '18+1=19']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,53 unequal: No Solution
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 53:[1, 36], Operations: ['2*9=18', '18+18=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 1+36=37, Resulting Numbers: [37]
37,53 unequal: No Solution
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 53:[18, 19], Operations: ['2*9=18', '1+18=19']
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,53 unequal: No Solution
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,53 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 53:[18, 18], Operations: ['2*9=18', '18/1=18']
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,53 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,53 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 53:[18, 18], Operations: ['2*9=18', '18*1=18']
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,53 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,53 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[2, 1, 27], Operations: ['18+9=27']
Exploring Operation: 2+1=3, Resulting Numbers: [27, 3]
Generated Node #0,0,0: 53:[27, 3] Operation: 2+1=3
Exploring Operation: 2*1=2, Resulting Numbers: [27, 2]
Generated Node #0,0,1: 53:[27, 2] Operation: 2*1=2
Exploring Operation: 1+27=28, Resulting Numbers: [2, 28]
Generated Node #0,0,2: 53:[2, 28] Operation: 1+27=28
Exploring Operation: 2*27=54, Resulting Numbers: [1, 54]
Generated Node #0,0,3: 53:[1, 54] Operation: 2*27=54
Exploring Operation: 2+27=29, Resulting Numbers: [1, 29]
Generated Node #0,0,4: 53:[1, 29] Operation: 2+27=29
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 53:[1, 54], Operations: ['18+9=27', '2*27=54']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,53 unequal: No Solution
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,53 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[18, 2, 9, 1], Operations: []
Exploring Operation: 18+9=27, Resulting Numbers: [2, 1, 27]
Generated Node #0,0: 53:[2, 1, 27] Operation: 18+9=27
Moving to Node #0,0
Current State: 53:[2, 1, 27], Operations: ['18+9=27']
Exploring Operation: 2*27=54, Resulting Numbers: [1, 54]
Generated Node #0,0,3: 53:[1, 54] Operation: 2*27=54
Moving to Node #0,0,3
Current State: 53:[1, 54], Operations: ['18+9=27', '2*27=54']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.945313 |
hs_5
|
mult_heuristic
|
[
54,
96,
78,
24
] | 21 |
[
"96-78=18",
"54/18=3",
"24-3=21"
] |
Current State: 21:[54, 96, 78, 24], Operations: []
Exploring Operation: 96-78=18, Resulting Numbers: [54, 24, 18]
Generated Node #2: [54, 24, 18] from Operation: 96-78=18
Current State: 21:[54, 24, 18], Operations: ['96-78=18']
Exploring Operation: 54/18=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 54/18=3
Current State: 21:[24, 3], Operations: ['96-78=18', '54/18=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
Current State: 21:[54, 96, 78, 24], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [54, 78, 4]
Generated Node #0,0: 21:[54, 78, 4] Operation: 96/24=4
Exploring Operation: 78-54=24, Resulting Numbers: [96, 24, 24]
Generated Node #0,1: 21:[96, 24, 24] Operation: 78-54=24
Exploring Operation: 96-54=42, Resulting Numbers: [78, 24, 42]
Generated Node #0,2: 21:[78, 24, 42] Operation: 96-54=42
Exploring Operation: 96-78=18, Resulting Numbers: [54, 24, 18]
Generated Node #0,3: 21:[54, 24, 18] Operation: 96-78=18
Moving to Node #0,3
Current State: 21:[54, 24, 18], Operations: ['96-78=18']
Exploring Operation: 54-18=36, Resulting Numbers: [24, 36]
Generated Node #0,3,0: 21:[24, 36] Operation: 54-18=36
Exploring Operation: 54-24=30, Resulting Numbers: [18, 30]
Generated Node #0,3,1: 21:[18, 30] Operation: 54-24=30
Exploring Operation: 54/18=3, Resulting Numbers: [24, 3]
Generated Node #0,3,2: 21:[24, 3] Operation: 54/18=3
Exploring Operation: 24-18=6, Resulting Numbers: [54, 6]
Generated Node #0,3,3: 21:[54, 6] Operation: 24-18=6
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 21:[24, 3], Operations: ['96-78=18', '54/18=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[54, 96, 78, 24], Operations: []
Exploring Operation: 96-78=18, Resulting Numbers: [54, 24, 18]
Generated Node #0,3: 21:[54, 24, 18] Operation: 96-78=18
Moving to Node #0,3
Current State: 21:[54, 24, 18], Operations: ['96-78=18']
Exploring Operation: 54/18=3, Resulting Numbers: [24, 3]
Generated Node #0,3,2: 21:[24, 3] Operation: 54/18=3
Moving to Node #0,3,2
Current State: 21:[24, 3], Operations: ['96-78=18', '54/18=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_4
|
sum_heuristic
|
[
68,
12,
86,
10
] | 60 |
[
"68+12=80",
"86-80=6",
"10*6=60"
] |
Current State: 60:[68, 12, 86, 10], Operations: []
Exploring Operation: 68+12=80, Resulting Numbers: [86, 10, 80]
Generated Node #2: [86, 10, 80] from Operation: 68+12=80
Current State: 60:[86, 10, 80], Operations: ['68+12=80']
Exploring Operation: 86-80=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 86-80=6
Current State: 60:[10, 6], Operations: ['68+12=80', '86-80=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
Current State: 60:[68, 12, 86, 10], Operations: []
Exploring Operation: 86-10=76, Resulting Numbers: [68, 12, 76]
Generated Node #0,0: 60:[68, 12, 76] Operation: 86-10=76
Exploring Operation: 86-12=74, Resulting Numbers: [68, 10, 74]
Generated Node #0,1: 60:[68, 10, 74] Operation: 86-12=74
Exploring Operation: 86-68=18, Resulting Numbers: [12, 10, 18]
Generated Node #0,2: 60:[12, 10, 18] Operation: 86-68=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[12, 10, 18], Operations: ['86-68=18']
Exploring Operation: 12-10=2, Resulting Numbers: [18, 2]
Generated Node #0,2,0: 60:[18, 2] Operation: 12-10=2
Exploring Operation: 18-12=6, Resulting Numbers: [10, 6]
Generated Node #0,2,1: 60:[10, 6] Operation: 18-12=6
Exploring Operation: 12+18=30, Resulting Numbers: [10, 30]
Generated Node #0,2,2: 60:[10, 30] Operation: 12+18=30
Moving to Node #0,2,1
Current State: 60:[10, 6], Operations: ['86-68=18', '18-12=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[68, 12, 86, 10], Operations: []
Exploring Operation: 86-68=18, Resulting Numbers: [12, 10, 18]
Generated Node #0,2: 60:[12, 10, 18] Operation: 86-68=18
Moving to Node #0,2
Current State: 60:[12, 10, 18], Operations: ['86-68=18']
Exploring Operation: 18-12=6, Resulting Numbers: [10, 6]
Generated Node #0,2,1: 60:[10, 6] Operation: 18-12=6
Moving to Node #0,2,1
Current State: 60:[10, 6], Operations: ['86-68=18', '18-12=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_3
|
mult_heuristic
|
[
25,
7,
10,
28
] | 33 |
[
"25+10=35",
"35/7=5",
"28+5=33"
] |
Current State: 33:[25, 7, 10, 28], Operations: []
Exploring Operation: 25+10=35, Resulting Numbers: [7, 28, 35]
Generated Node #2: [7, 28, 35] from Operation: 25+10=35
Current State: 33:[7, 28, 35], Operations: ['25+10=35']
Exploring Operation: 35/7=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 35/7=5
Current State: 33:[28, 5], Operations: ['25+10=35', '35/7=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
Current State: 33:[25, 7, 10, 28], Operations: []
Exploring Operation: 25+10=35, Resulting Numbers: [7, 28, 35]
Generated Node #0,0: 33:[7, 28, 35] Operation: 25+10=35
Exploring Operation: 28/7=4, Resulting Numbers: [25, 10, 4]
Generated Node #0,1: 33:[25, 10, 4] Operation: 28/7=4
Exploring Operation: 28-25=3, Resulting Numbers: [7, 10, 3]
Generated Node #0,2: 33:[7, 10, 3] Operation: 28-25=3
Exploring Operation: 25+7=32, Resulting Numbers: [10, 28, 32]
Generated Node #0,3: 33:[10, 28, 32] Operation: 25+7=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[7, 10, 3], Operations: ['28-25=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10, 10]
Generated Node #0,2,0: 33:[10, 10] Operation: 7+3=10
Exploring Operation: 10-7=3, Resulting Numbers: [3, 3]
Generated Node #0,2,1: 33:[3, 3] Operation: 10-7=3
Exploring Operation: 7-3=4, Resulting Numbers: [10, 4]
Generated Node #0,2,2: 33:[10, 4] Operation: 7-3=4
Exploring Operation: 7+10=17, Resulting Numbers: [3, 17]
Generated Node #0,2,3: 33:[3, 17] Operation: 7+10=17
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 33:[3, 3], Operations: ['28-25=3', '10-7=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 33:[10, 10], Operations: ['28-25=3', '7+3=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,33 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 33:[10, 4], Operations: ['28-25=3', '7-3=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 33:[3, 17], Operations: ['28-25=3', '7+10=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,33 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[10, 28, 32], Operations: ['25+7=32']
Exploring Operation: 10+32=42, Resulting Numbers: [28, 42]
Generated Node #0,3,0: 33:[28, 42] Operation: 10+32=42
Exploring Operation: 28-10=18, Resulting Numbers: [32, 18]
Generated Node #0,3,1: 33:[32, 18] Operation: 28-10=18
Exploring Operation: 10+28=38, Resulting Numbers: [32, 38]
Generated Node #0,3,2: 33:[32, 38] Operation: 10+28=38
Exploring Operation: 32-28=4, Resulting Numbers: [10, 4]
Generated Node #0,3,3: 33:[10, 4] Operation: 32-28=4
Moving to Node #0,3,3
Current State: 33:[10, 4], Operations: ['25+7=32', '32-28=4']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[32, 38], Operations: ['25+7=32', '10+28=38']
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Exploring Operation: 32*38=1216, Resulting Numbers: [1216]
1216,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[32, 18], Operations: ['25+7=32', '28-10=18']
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,33 unequal: No Solution
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,33 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[28, 42], Operations: ['25+7=32', '10+32=42']
Exploring Operation: 28+42=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 28*42=1176, Resulting Numbers: [1176]
1176,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[25, 10, 4], Operations: ['28/7=4']
Exploring Operation: 25-10=15, Resulting Numbers: [4, 15]
Generated Node #0,1,0: 33:[4, 15] Operation: 25-10=15
Exploring Operation: 25+4=29, Resulting Numbers: [10, 29]
Generated Node #0,1,1: 33:[10, 29] Operation: 25+4=29
Exploring Operation: 25-4=21, Resulting Numbers: [10, 21]
Generated Node #0,1,2: 33:[10, 21] Operation: 25-4=21
Exploring Operation: 25+10=35, Resulting Numbers: [4, 35]
Generated Node #0,1,3: 33:[4, 35] Operation: 25+10=35
Moving to Node #0,1,3
Current State: 33:[4, 35], Operations: ['28/7=4', '25+10=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,33 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[10, 29], Operations: ['28/7=4', '25+4=29']
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,33 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[4, 15], Operations: ['28/7=4', '25-10=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,33 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[10, 21], Operations: ['28/7=4', '25-4=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[7, 28, 35], Operations: ['25+10=35']
Exploring Operation: 35-28=7, Resulting Numbers: [7, 7]
Generated Node #0,0,0: 33:[7, 7] Operation: 35-28=7
Exploring Operation: 35/7=5, Resulting Numbers: [28, 5]
Generated Node #0,0,1: 33:[28, 5] Operation: 35/7=5
Exploring Operation: 7+28=35, Resulting Numbers: [35, 35]
Generated Node #0,0,2: 33:[35, 35] Operation: 7+28=35
Exploring Operation: 28/7=4, Resulting Numbers: [35, 4]
Generated Node #0,0,3: 33:[35, 4] Operation: 28/7=4
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 33:[35, 4], Operations: ['25+10=35', '28/7=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 35*4=140, Resulting Numbers: [140]
140,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 33:[35, 35], Operations: ['25+10=35', '7+28=35']
Exploring Operation: 35*35=1225, Resulting Numbers: [1225]
1225,33 unequal: No Solution
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 35-35=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 33:[28, 5], Operations: ['25+10=35', '35/7=5']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,33 unequal: No Solution
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[25, 7, 10, 28], Operations: []
Exploring Operation: 25+10=35, Resulting Numbers: [7, 28, 35]
Generated Node #0,0: 33:[7, 28, 35] Operation: 25+10=35
Moving to Node #0,0
Current State: 33:[7, 28, 35], Operations: ['25+10=35']
Exploring Operation: 35/7=5, Resulting Numbers: [28, 5]
Generated Node #0,0,1: 33:[28, 5] Operation: 35/7=5
Moving to Node #0,0,1
Current State: 33:[28, 5], Operations: ['25+10=35', '35/7=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.938368 |
hs_4
|
sum_heuristic
|
[
11,
93,
14,
1
] | 30 |
[
"14-11=3",
"93/3=31",
"31-1=30"
] |
Current State: 30:[11, 93, 14, 1], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [93, 1, 3]
Generated Node #2: [93, 1, 3] from Operation: 14-11=3
Current State: 30:[93, 1, 3], Operations: ['14-11=3']
Exploring Operation: 93/3=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 93/3=31
Current State: 30:[1, 31], Operations: ['14-11=3', '93/3=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
Current State: 30:[11, 93, 14, 1], Operations: []
Exploring Operation: 93-11=82, Resulting Numbers: [14, 1, 82]
Generated Node #0,0: 30:[14, 1, 82] Operation: 93-11=82
Exploring Operation: 14-11=3, Resulting Numbers: [93, 1, 3]
Generated Node #0,1: 30:[93, 1, 3] Operation: 14-11=3
Exploring Operation: 11-1=10, Resulting Numbers: [93, 14, 10]
Generated Node #0,2: 30:[93, 14, 10] Operation: 11-1=10
Exploring Operation: 93-14=79, Resulting Numbers: [11, 1, 79]
Generated Node #0,3: 30:[11, 1, 79] Operation: 93-14=79
Start Sub Search at level 1: Moving to Node #0,3
Current State: 30:[11, 1, 79], Operations: ['93-14=79']
Exploring Operation: 11*1=11, Resulting Numbers: [79, 11]
Generated Node #0,3,0: 30:[79, 11] Operation: 11*1=11
Exploring Operation: 79-1=78, Resulting Numbers: [11, 78]
Generated Node #0,3,1: 30:[11, 78] Operation: 79-1=78
Exploring Operation: 11-1=10, Resulting Numbers: [79, 10]
Generated Node #0,3,2: 30:[79, 10] Operation: 11-1=10
Exploring Operation: 79-11=68, Resulting Numbers: [1, 68]
Generated Node #0,3,3: 30:[1, 68] Operation: 79-11=68
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 30:[1, 68], Operations: ['93-14=79', '79-11=68']
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,30 unequal: No Solution
Exploring Operation: 1*68=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 68/1=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 30:[11, 78], Operations: ['93-14=79', '79-1=78']
Exploring Operation: 11*78=858, Resulting Numbers: [858]
858,30 unequal: No Solution
Exploring Operation: 11+78=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 30:[79, 10], Operations: ['93-14=79', '11-1=10']
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,30 unequal: No Solution
Exploring Operation: 79+10=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Exploring Operation: 79*10=790, Resulting Numbers: [790]
790,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 30:[79, 11], Operations: ['93-14=79', '11*1=11']
Exploring Operation: 79*11=869, Resulting Numbers: [869]
869,30 unequal: No Solution
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[14, 1, 82], Operations: ['93-11=82']
Exploring Operation: 14*1=14, Resulting Numbers: [82, 14]
Generated Node #0,0,0: 30:[82, 14] Operation: 14*1=14
Exploring Operation: 14+1=15, Resulting Numbers: [82, 15]
Generated Node #0,0,1: 30:[82, 15] Operation: 14+1=15
Exploring Operation: 82-1=81, Resulting Numbers: [14, 81]
Generated Node #0,0,2: 30:[14, 81] Operation: 82-1=81
Exploring Operation: 82-14=68, Resulting Numbers: [1, 68]
Generated Node #0,0,3: 30:[1, 68] Operation: 82-14=68
Moving to Node #0,0,3
Current State: 30:[1, 68], Operations: ['93-11=82', '82-14=68']
Exploring Operation: 68/1=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,30 unequal: No Solution
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,30 unequal: No Solution
Exploring Operation: 1*68=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[14, 81], Operations: ['93-11=82', '82-1=81']
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,30 unequal: No Solution
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,30 unequal: No Solution
Exploring Operation: 14*81=1134, Resulting Numbers: [1134]
1134,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[82, 15], Operations: ['93-11=82', '14+1=15']
Exploring Operation: 82*15=1230, Resulting Numbers: [1230]
1230,30 unequal: No Solution
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,30 unequal: No Solution
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[82, 14], Operations: ['93-11=82', '14*1=14']
Exploring Operation: 82*14=1148, Resulting Numbers: [1148]
1148,30 unequal: No Solution
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 82+14=96, Resulting Numbers: [96]
96,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[93, 1, 3], Operations: ['14-11=3']
Exploring Operation: 93*1=93, Resulting Numbers: [3, 93]
Generated Node #0,1,0: 30:[3, 93] Operation: 93*1=93
Exploring Operation: 93-3=90, Resulting Numbers: [1, 90]
Generated Node #0,1,1: 30:[1, 90] Operation: 93-3=90
Exploring Operation: 93/3=31, Resulting Numbers: [1, 31]
Generated Node #0,1,2: 30:[1, 31] Operation: 93/3=31
Exploring Operation: 93-1=92, Resulting Numbers: [3, 92]
Generated Node #0,1,3: 30:[3, 92] Operation: 93-1=92
Moving to Node #0,1,2
Current State: 30:[1, 31], Operations: ['14-11=3', '93/3=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[11, 93, 14, 1], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [93, 1, 3]
Generated Node #0,1: 30:[93, 1, 3] Operation: 14-11=3
Moving to Node #0,1
Current State: 30:[93, 1, 3], Operations: ['14-11=3']
Exploring Operation: 93/3=31, Resulting Numbers: [1, 31]
Generated Node #0,1,2: 30:[1, 31] Operation: 93/3=31
Moving to Node #0,1,2
Current State: 30:[1, 31], Operations: ['14-11=3', '93/3=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 |
hs_4
|
sum_heuristic
|
[
7,
2,
5,
13
] | 79 |
[
"7*2=14",
"5*13=65",
"14+65=79"
] |
Current State: 79:[7, 2, 5, 13], Operations: []
Exploring Operation: 7*2=14, Resulting Numbers: [5, 13, 14]
Generated Node #2: [5, 13, 14] from Operation: 7*2=14
Current State: 79:[5, 13, 14], Operations: ['7*2=14']
Exploring Operation: 5*13=65, Resulting Numbers: [14, 65]
Generated Node #3: [14, 65] from Operation: 5*13=65
Current State: 79:[14, 65], Operations: ['7*2=14', '5*13=65']
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[7, 2, 5, 13], Operations: []
Exploring Operation: 7*13=91, Resulting Numbers: [2, 5, 91]
Generated Node #0,0: 79:[2, 5, 91] Operation: 7*13=91
Exploring Operation: 5*13=65, Resulting Numbers: [7, 2, 65]
Generated Node #0,1: 79:[7, 2, 65] Operation: 5*13=65
Exploring Operation: 7*5=35, Resulting Numbers: [2, 13, 35]
Generated Node #0,2: 79:[2, 13, 35] Operation: 7*5=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[2, 5, 91], Operations: ['7*13=91']
Exploring Operation: 91-2=89, Resulting Numbers: [5, 89]
Generated Node #0,0,0: 79:[5, 89] Operation: 91-2=89
Exploring Operation: 2+5=7, Resulting Numbers: [91, 7]
Generated Node #0,0,1: 79:[91, 7] Operation: 2+5=7
Exploring Operation: 2*5=10, Resulting Numbers: [91, 10]
Generated Node #0,0,2: 79:[91, 10] Operation: 2*5=10
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 79:[91, 10], Operations: ['7*13=91', '2*5=10']
Exploring Operation: 91*10=910, Resulting Numbers: [910]
910,79 unequal: No Solution
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,79 unequal: No Solution
Exploring Operation: 91+10=101, Resulting Numbers: [101]
101,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[5, 89], Operations: ['7*13=91', '91-2=89']
Exploring Operation: 5*89=445, Resulting Numbers: [445]
445,79 unequal: No Solution
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,79 unequal: No Solution
Exploring Operation: 5+89=94, Resulting Numbers: [94]
94,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[91, 7], Operations: ['7*13=91', '2+5=7']
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,79 unequal: No Solution
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[7, 2, 65], Operations: ['5*13=65']
Exploring Operation: 7+2=9, Resulting Numbers: [65, 9]
Generated Node #0,1,0: 79:[65, 9] Operation: 7+2=9
Exploring Operation: 7+65=72, Resulting Numbers: [2, 72]
Generated Node #0,1,1: 79:[2, 72] Operation: 7+65=72
Exploring Operation: 7*2=14, Resulting Numbers: [65, 14]
Generated Node #0,1,2: 79:[65, 14] Operation: 7*2=14
Moving to Node #0,1,2
Current State: 79:[65, 14], Operations: ['5*13=65', '7*2=14']
Exploring Operation: 65+14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[7, 2, 5, 13], Operations: []
Exploring Operation: 5*13=65, Resulting Numbers: [7, 2, 65]
Generated Node #0,1: 79:[7, 2, 65] Operation: 5*13=65
Moving to Node #0,1
Current State: 79:[7, 2, 65], Operations: ['5*13=65']
Exploring Operation: 7*2=14, Resulting Numbers: [65, 14]
Generated Node #0,1,2: 79:[65, 14] Operation: 7*2=14
Moving to Node #0,1,2
Current State: 79:[65, 14], Operations: ['5*13=65', '7*2=14']
Exploring Operation: 65+14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 |
hs_3
|
mult_heuristic
|
[
70,
58,
44,
2
] | 86 |
[
"70+58=128",
"44-2=42",
"128-42=86"
] |
Current State: 86:[70, 58, 44, 2], Operations: []
Exploring Operation: 70+58=128, Resulting Numbers: [44, 2, 128]
Generated Node #2: [44, 2, 128] from Operation: 70+58=128
Current State: 86:[44, 2, 128], Operations: ['70+58=128']
Exploring Operation: 44-2=42, Resulting Numbers: [128, 42]
Generated Node #3: [128, 42] from Operation: 44-2=42
Current State: 86:[128, 42], Operations: ['70+58=128', '44-2=42']
Exploring Operation: 128-42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
Current State: 86:[70, 58, 44, 2], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [58, 44, 35]
Generated Node #0,0: 86:[58, 44, 35] Operation: 70/2=35
Exploring Operation: 70-58=12, Resulting Numbers: [44, 2, 12]
Generated Node #0,1: 86:[44, 2, 12] Operation: 70-58=12
Exploring Operation: 58-44=14, Resulting Numbers: [70, 2, 14]
Generated Node #0,2: 86:[70, 2, 14] Operation: 58-44=14
Moving to Node #0,1
Current State: 86:[44, 2, 12], Operations: ['70-58=12']
Exploring Operation: 44-2=42, Resulting Numbers: [12, 42]
Generated Node #0,1,0: 86:[12, 42] Operation: 44-2=42
Exploring Operation: 12/2=6, Resulting Numbers: [44, 6]
Generated Node #0,1,1: 86:[44, 6] Operation: 12/2=6
Exploring Operation: 12-2=10, Resulting Numbers: [44, 10]
Generated Node #0,1,2: 86:[44, 10] Operation: 12-2=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[44, 6], Operations: ['70-58=12', '12/2=6']
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 44*6=264, Resulting Numbers: [264]
264,86 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[44, 10], Operations: ['70-58=12', '12-2=10']
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,86 unequal: No Solution
Exploring Operation: 44*10=440, Resulting Numbers: [440]
440,86 unequal: No Solution
Exploring Operation: 44+10=54, Resulting Numbers: [54]
54,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[12, 42], Operations: ['70-58=12', '44-2=42']
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Exploring Operation: 12*42=504, Resulting Numbers: [504]
504,86 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 86:[58, 44, 35], Operations: ['70/2=35']
Exploring Operation: 58-35=23, Resulting Numbers: [44, 23]
Generated Node #0,0,0: 86:[44, 23] Operation: 58-35=23
Exploring Operation: 58+35=93, Resulting Numbers: [44, 93]
Generated Node #0,0,1: 86:[44, 93] Operation: 58+35=93
Exploring Operation: 58-44=14, Resulting Numbers: [35, 14]
Generated Node #0,0,2: 86:[35, 14] Operation: 58-44=14
Moving to Node #0,2
Current State: 86:[70, 2, 14], Operations: ['58-44=14']
Exploring Operation: 70+14=84, Resulting Numbers: [2, 84]
Generated Node #0,2,0: 86:[2, 84] Operation: 70+14=84
Exploring Operation: 70/14=5, Resulting Numbers: [2, 5]
Generated Node #0,2,1: 86:[2, 5] Operation: 70/14=5
Exploring Operation: 70-14=56, Resulting Numbers: [2, 56]
Generated Node #0,2,2: 86:[2, 56] Operation: 70-14=56
Moving to Node #0,2,0
Current State: 86:[2, 84], Operations: ['58-44=14', '70+14=84']
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[70, 58, 44, 2], Operations: []
Exploring Operation: 58-44=14, Resulting Numbers: [70, 2, 14]
Generated Node #0,2: 86:[70, 2, 14] Operation: 58-44=14
Moving to Node #0,2
Current State: 86:[70, 2, 14], Operations: ['58-44=14']
Exploring Operation: 70+14=84, Resulting Numbers: [2, 84]
Generated Node #0,2,0: 86:[2, 84] Operation: 70+14=84
Moving to Node #0,2,0
Current State: 86:[2, 84], Operations: ['58-44=14', '70+14=84']
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.977431 |
hs_3
|
sum_heuristic
|
[
85,
28,
54,
83
] | 80 |
[
"85-28=57",
"54+83=137",
"137-57=80"
] |
Current State: 80:[85, 28, 54, 83], Operations: []
Exploring Operation: 85-28=57, Resulting Numbers: [54, 83, 57]
Generated Node #2: [54, 83, 57] from Operation: 85-28=57
Current State: 80:[54, 83, 57], Operations: ['85-28=57']
Exploring Operation: 54+83=137, Resulting Numbers: [57, 137]
Generated Node #3: [57, 137] from Operation: 54+83=137
Current State: 80:[57, 137], Operations: ['85-28=57', '54+83=137']
Exploring Operation: 137-57=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[85, 28, 54, 83], Operations: []
Exploring Operation: 28+54=82, Resulting Numbers: [85, 83, 82]
Generated Node #0,0: 80:[85, 83, 82] Operation: 28+54=82
Exploring Operation: 54-28=26, Resulting Numbers: [85, 83, 26]
Generated Node #0,1: 80:[85, 83, 26] Operation: 54-28=26
Exploring Operation: 85-83=2, Resulting Numbers: [28, 54, 2]
Generated Node #0,2: 80:[28, 54, 2] Operation: 85-83=2
Exploring Operation: 83-54=29, Resulting Numbers: [85, 28, 29]
Generated Node #0,3: 80:[85, 28, 29] Operation: 83-54=29
Exploring Operation: 85-54=31, Resulting Numbers: [28, 83, 31]
Generated Node #0,4: 80:[28, 83, 31] Operation: 85-54=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[85, 83, 82], Operations: ['28+54=82']
Exploring Operation: 83-82=1, Resulting Numbers: [85, 1]
Generated Node #0,0,0: 80:[85, 1] Operation: 83-82=1
Exploring Operation: 85-83=2, Resulting Numbers: [82, 2]
Generated Node #0,0,1: 80:[82, 2] Operation: 85-83=2
Exploring Operation: 85+82=167, Resulting Numbers: [83, 167]
Generated Node #0,0,2: 80:[83, 167] Operation: 85+82=167
Exploring Operation: 85-82=3, Resulting Numbers: [83, 3]
Generated Node #0,0,3: 80:[83, 3] Operation: 85-82=3
Exploring Operation: 85+83=168, Resulting Numbers: [82, 168]
Generated Node #0,0,4: 80:[82, 168] Operation: 85+83=168
Moving to Node #0,0,1
Current State: 80:[82, 2], Operations: ['28+54=82', '85-83=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,80 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[85, 28, 54, 83], Operations: []
Exploring Operation: 28+54=82, Resulting Numbers: [85, 83, 82]
Generated Node #0,0: 80:[85, 83, 82] Operation: 28+54=82
Moving to Node #0,0
Current State: 80:[85, 83, 82], Operations: ['28+54=82']
Exploring Operation: 85-83=2, Resulting Numbers: [82, 2]
Generated Node #0,0,1: 80:[82, 2] Operation: 85-83=2
Moving to Node #0,0,1
Current State: 80:[82, 2], Operations: ['28+54=82', '85-83=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_5
|
mult_heuristic
|
[
39,
49,
61,
5
] | 11 |
[
"49-39=10",
"5*10=50",
"61-50=11"
] |
Current State: 11:[39, 49, 61, 5], Operations: []
Exploring Operation: 49-39=10, Resulting Numbers: [61, 5, 10]
Generated Node #2: [61, 5, 10] from Operation: 49-39=10
Current State: 11:[61, 5, 10], Operations: ['49-39=10']
Exploring Operation: 5*10=50, Resulting Numbers: [61, 50]
Generated Node #3: [61, 50] from Operation: 5*10=50
Current State: 11:[61, 50], Operations: ['49-39=10', '5*10=50']
Exploring Operation: 61-50=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[39, 49, 61, 5], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [39, 5, 12]
Generated Node #0,0: 11:[39, 5, 12] Operation: 61-49=12
Exploring Operation: 49-5=44, Resulting Numbers: [39, 61, 44]
Generated Node #0,1: 11:[39, 61, 44] Operation: 49-5=44
Exploring Operation: 61-39=22, Resulting Numbers: [49, 5, 22]
Generated Node #0,2: 11:[49, 5, 22] Operation: 61-39=22
Exploring Operation: 39-5=34, Resulting Numbers: [49, 61, 34]
Generated Node #0,3: 11:[49, 61, 34] Operation: 39-5=34
Exploring Operation: 49-39=10, Resulting Numbers: [61, 5, 10]
Generated Node #0,4: 11:[61, 5, 10] Operation: 49-39=10
Moving to Node #0,0
Current State: 11:[39, 5, 12], Operations: ['61-49=12']
Exploring Operation: 39-5=34, Resulting Numbers: [12, 34]
Generated Node #0,0,0: 11:[12, 34] Operation: 39-5=34
Exploring Operation: 39-12=27, Resulting Numbers: [5, 27]
Generated Node #0,0,1: 11:[5, 27] Operation: 39-12=27
Exploring Operation: 39+5=44, Resulting Numbers: [12, 44]
Generated Node #0,0,2: 11:[12, 44] Operation: 39+5=44
Exploring Operation: 12-5=7, Resulting Numbers: [39, 7]
Generated Node #0,0,3: 11:[39, 7] Operation: 12-5=7
Exploring Operation: 5+12=17, Resulting Numbers: [39, 17]
Generated Node #0,0,4: 11:[39, 17] Operation: 5+12=17
Moving to Node #0,2
Current State: 11:[49, 5, 22], Operations: ['61-39=22']
Exploring Operation: 49-5=44, Resulting Numbers: [22, 44]
Generated Node #0,2,0: 11:[22, 44] Operation: 49-5=44
Exploring Operation: 5+22=27, Resulting Numbers: [49, 27]
Generated Node #0,2,1: 11:[49, 27] Operation: 5+22=27
Exploring Operation: 49-22=27, Resulting Numbers: [5, 27]
Generated Node #0,2,2: 11:[5, 27] Operation: 49-22=27
Exploring Operation: 49+5=54, Resulting Numbers: [22, 54]
Generated Node #0,2,3: 11:[22, 54] Operation: 49+5=54
Exploring Operation: 22-5=17, Resulting Numbers: [49, 17]
Generated Node #0,2,4: 11:[49, 17] Operation: 22-5=17
Moving to Node #0,4
Current State: 11:[61, 5, 10], Operations: ['49-39=10']
Exploring Operation: 5+10=15, Resulting Numbers: [61, 15]
Generated Node #0,4,0: 11:[61, 15] Operation: 5+10=15
Exploring Operation: 61-10=51, Resulting Numbers: [5, 51]
Generated Node #0,4,1: 11:[5, 51] Operation: 61-10=51
Exploring Operation: 10-5=5, Resulting Numbers: [61, 5]
Generated Node #0,4,2: 11:[61, 5] Operation: 10-5=5
Exploring Operation: 61-5=56, Resulting Numbers: [10, 56]
Generated Node #0,4,3: 11:[10, 56] Operation: 61-5=56
Exploring Operation: 61+5=66, Resulting Numbers: [10, 66]
Generated Node #0,4,4: 11:[10, 66] Operation: 61+5=66
Moving to Node #0,1
Current State: 11:[39, 61, 44], Operations: ['49-5=44']
Exploring Operation: 39+61=100, Resulting Numbers: [44, 100]
Generated Node #0,1,0: 11:[44, 100] Operation: 39+61=100
Exploring Operation: 39+44=83, Resulting Numbers: [61, 83]
Generated Node #0,1,1: 11:[61, 83] Operation: 39+44=83
Exploring Operation: 44-39=5, Resulting Numbers: [61, 5]
Generated Node #0,1,2: 11:[61, 5] Operation: 44-39=5
Exploring Operation: 61-44=17, Resulting Numbers: [39, 17]
Generated Node #0,1,3: 11:[39, 17] Operation: 61-44=17
Exploring Operation: 61-39=22, Resulting Numbers: [44, 22]
Generated Node #0,1,4: 11:[44, 22] Operation: 61-39=22
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 11:[39, 17], Operations: ['49-5=44', '61-44=17']
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 39*17=663, Resulting Numbers: [663]
663,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 11:[44, 22], Operations: ['49-5=44', '61-39=22']
Exploring Operation: 44+22=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 44*22=968, Resulting Numbers: [968]
968,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[61, 5], Operations: ['49-5=44', '44-39=5']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 61*5=305, Resulting Numbers: [305]
305,11 unequal: No Solution
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[44, 100], Operations: ['49-5=44', '39+61=100']
Exploring Operation: 44+100=144, Resulting Numbers: [144]
144,11 unequal: No Solution
Exploring Operation: 44*100=4400, Resulting Numbers: [4400]
4400,11 unequal: No Solution
Exploring Operation: 100-44=56, Resulting Numbers: [56]
56,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[61, 83], Operations: ['49-5=44', '39+44=83']
Exploring Operation: 61*83=5063, Resulting Numbers: [5063]
5063,11 unequal: No Solution
Exploring Operation: 61+83=144, Resulting Numbers: [144]
144,11 unequal: No Solution
Exploring Operation: 83-61=22, Resulting Numbers: [22]
22,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 11:[49, 61, 34], Operations: ['39-5=34']
Exploring Operation: 61-34=27, Resulting Numbers: [49, 27]
Generated Node #0,3,0: 11:[49, 27] Operation: 61-34=27
Exploring Operation: 49+61=110, Resulting Numbers: [34, 110]
Generated Node #0,3,1: 11:[34, 110] Operation: 49+61=110
Exploring Operation: 49-34=15, Resulting Numbers: [61, 15]
Generated Node #0,3,2: 11:[61, 15] Operation: 49-34=15
Exploring Operation: 49+34=83, Resulting Numbers: [61, 83]
Generated Node #0,3,3: 11:[61, 83] Operation: 49+34=83
Exploring Operation: 61-49=12, Resulting Numbers: [34, 12]
Generated Node #0,3,4: 11:[34, 12] Operation: 61-49=12
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 11:[34, 12], Operations: ['39-5=34', '61-49=12']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,11 unequal: No Solution
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[49, 27], Operations: ['39-5=34', '61-34=27']
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,11 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[61, 15], Operations: ['39-5=34', '49-34=15']
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 61*15=915, Resulting Numbers: [915]
915,11 unequal: No Solution
Exploring Operation: 61+15=76, Resulting Numbers: [76]
76,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[34, 110], Operations: ['39-5=34', '49+61=110']
Exploring Operation: 34+110=144, Resulting Numbers: [144]
144,11 unequal: No Solution
Exploring Operation: 110-34=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 34*110=3740, Resulting Numbers: [3740]
3740,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[61, 83], Operations: ['39-5=34', '49+34=83']
Exploring Operation: 61+83=144, Resulting Numbers: [144]
144,11 unequal: No Solution
Exploring Operation: 61*83=5063, Resulting Numbers: [5063]
5063,11 unequal: No Solution
Exploring Operation: 83-61=22, Resulting Numbers: [22]
22,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 11:[5, 27], Operations: ['61-49=12', '39-12=27']
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,11 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[5, 27], Operations: ['61-39=22', '49-22=27']
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,11 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[12, 34], Operations: ['61-49=12', '39-5=34']
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 12*34=408, Resulting Numbers: [408]
408,11 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[39, 7], Operations: ['61-49=12', '12-5=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,11 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Moving to Node #0,0,4
Current State: 11:[39, 17], Operations: ['61-49=12', '5+12=17']
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 39*17=663, Resulting Numbers: [663]
663,11 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[12, 44], Operations: ['61-49=12', '39+5=44']
Exploring Operation: 12*44=528, Resulting Numbers: [528]
528,11 unequal: No Solution
Exploring Operation: 12+44=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[22, 44], Operations: ['61-39=22', '49-5=44']
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 22+44=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 22*44=968, Resulting Numbers: [968]
968,11 unequal: No Solution
Moving to Node #0,2,4
Current State: 11:[49, 17], Operations: ['61-39=22', '22-5=17']
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 49*17=833, Resulting Numbers: [833]
833,11 unequal: No Solution
Exploring Operation: 49+17=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Moving to Node #0,4,3
Current State: 11:[10, 56], Operations: ['49-39=10', '61-5=56']
Exploring Operation: 10*56=560, Resulting Numbers: [560]
560,11 unequal: No Solution
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 10+56=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Moving to Node #0,4,1
Current State: 11:[5, 51], Operations: ['49-39=10', '61-10=51']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 5*51=255, Resulting Numbers: [255]
255,11 unequal: No Solution
Moving to Node #0,4,0
Current State: 11:[61, 15], Operations: ['49-39=10', '5+10=15']
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 61+15=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 61*15=915, Resulting Numbers: [915]
915,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[22, 54], Operations: ['61-39=22', '49+5=54']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 22*54=1188, Resulting Numbers: [1188]
1188,11 unequal: No Solution
Exploring Operation: 22+54=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[49, 27], Operations: ['61-39=22', '5+22=27']
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,11 unequal: No Solution
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Moving to Node #0,4,4
Current State: 11:[10, 66], Operations: ['49-39=10', '61+5=66']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,11 unequal: No Solution
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 10*66=660, Resulting Numbers: [660]
660,11 unequal: No Solution
Moving to Node #0,4,2
Current State: 11:[61, 5], Operations: ['49-39=10', '10-5=5']
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 61*5=305, Resulting Numbers: [305]
305,11 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,11 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
68,
46,
56,
29
] | 87 |
[
"68+46=114",
"56-29=27",
"114-27=87"
] |
Current State: 87:[68, 46, 56, 29], Operations: []
Exploring Operation: 68+46=114, Resulting Numbers: [56, 29, 114]
Generated Node #2: [56, 29, 114] from Operation: 68+46=114
Current State: 87:[56, 29, 114], Operations: ['68+46=114']
Exploring Operation: 56-29=27, Resulting Numbers: [114, 27]
Generated Node #3: [114, 27] from Operation: 56-29=27
Current State: 87:[114, 27], Operations: ['68+46=114', '56-29=27']
Exploring Operation: 114-27=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Current State: 87:[68, 46, 56, 29], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [46, 29, 12]
Generated Node #0,0: 87:[46, 29, 12] Operation: 68-56=12
Moving to Node #0,0
Current State: 87:[46, 29, 12], Operations: ['68-56=12']
Exploring Operation: 46-12=34, Resulting Numbers: [29, 34]
Generated Node #0,0,0: 87:[29, 34] Operation: 46-12=34
Moving to Node #0,0,0
Current State: 87:[29, 34], Operations: ['68-56=12', '46-12=34']
Exploring Operation: 34-29=5, Resulting Numbers: [5]
5,87 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
75,
48,
3,
69
] | 84 |
[
"75+48=123",
"3*69=207",
"207-123=84"
] |
Current State: 84:[75, 48, 3, 69], Operations: []
Exploring Operation: 75+48=123, Resulting Numbers: [3, 69, 123]
Generated Node #2: [3, 69, 123] from Operation: 75+48=123
Current State: 84:[3, 69, 123], Operations: ['75+48=123']
Exploring Operation: 3*69=207, Resulting Numbers: [123, 207]
Generated Node #3: [123, 207] from Operation: 3*69=207
Current State: 84:[123, 207], Operations: ['75+48=123', '3*69=207']
Exploring Operation: 207-123=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[75, 48, 3, 69], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [75, 3, 21]
Generated Node #0,0: 84:[75, 3, 21] Operation: 69-48=21
Exploring Operation: 75-69=6, Resulting Numbers: [48, 3, 6]
Generated Node #0,1: 84:[48, 3, 6] Operation: 75-69=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[48, 3, 6], Operations: ['75-69=6']
Exploring Operation: 48/6=8, Resulting Numbers: [3, 8]
Generated Node #0,1,0: 84:[3, 8] Operation: 48/6=8
Exploring Operation: 48-6=42, Resulting Numbers: [3, 42]
Generated Node #0,1,1: 84:[3, 42] Operation: 48-6=42
Moving to Node #0,1,1
Current State: 84:[3, 42], Operations: ['75-69=6', '48-6=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[3, 8], Operations: ['75-69=6', '48/6=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[75, 3, 21], Operations: ['69-48=21']
Exploring Operation: 75/3=25, Resulting Numbers: [21, 25]
Generated Node #0,0,0: 84:[21, 25] Operation: 75/3=25
Exploring Operation: 75+3=78, Resulting Numbers: [21, 78]
Generated Node #0,0,1: 84:[21, 78] Operation: 75+3=78
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[21, 25], Operations: ['69-48=21', '75/3=25']
Exploring Operation: 21+25=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 84:[21, 78], Operations: ['69-48=21', '75+3=78']
Exploring Operation: 21+78=99, Resulting Numbers: [99]
99,84 unequal: No Solution
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
45,
79,
63,
8
] | 83 |
[
"79-63=16",
"8*16=128",
"128-45=83"
] |
Current State: 83:[45, 79, 63, 8], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [45, 8, 16]
Generated Node #2: [45, 8, 16] from Operation: 79-63=16
Current State: 83:[45, 8, 16], Operations: ['79-63=16']
Exploring Operation: 8*16=128, Resulting Numbers: [45, 128]
Generated Node #3: [45, 128] from Operation: 8*16=128
Current State: 83:[45, 128], Operations: ['79-63=16', '8*16=128']
Exploring Operation: 128-45=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
Current State: 83:[45, 79, 63, 8], Operations: []
Exploring Operation: 63+8=71, Resulting Numbers: [45, 79, 71]
Generated Node #0,0: 83:[45, 79, 71] Operation: 63+8=71
Exploring Operation: 45+8=53, Resulting Numbers: [79, 63, 53]
Generated Node #0,1: 83:[79, 63, 53] Operation: 45+8=53
Exploring Operation: 45-8=37, Resulting Numbers: [79, 63, 37]
Generated Node #0,2: 83:[79, 63, 37] Operation: 45-8=37
Exploring Operation: 79+8=87, Resulting Numbers: [45, 63, 87]
Generated Node #0,3: 83:[45, 63, 87] Operation: 79+8=87
Exploring Operation: 79-8=71, Resulting Numbers: [45, 63, 71]
Generated Node #0,4: 83:[45, 63, 71] Operation: 79-8=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[45, 79, 71], Operations: ['63+8=71']
Exploring Operation: 79+71=150, Resulting Numbers: [45, 150]
Generated Node #0,0,0: 83:[45, 150] Operation: 79+71=150
Exploring Operation: 71-45=26, Resulting Numbers: [79, 26]
Generated Node #0,0,1: 83:[79, 26] Operation: 71-45=26
Exploring Operation: 45+79=124, Resulting Numbers: [71, 124]
Generated Node #0,0,2: 83:[71, 124] Operation: 45+79=124
Exploring Operation: 45+71=116, Resulting Numbers: [79, 116]
Generated Node #0,0,3: 83:[79, 116] Operation: 45+71=116
Exploring Operation: 79-45=34, Resulting Numbers: [71, 34]
Generated Node #0,0,4: 83:[71, 34] Operation: 79-45=34
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[79, 116], Operations: ['63+8=71', '45+71=116']
Exploring Operation: 116-79=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 79+116=195, Resulting Numbers: [195]
195,83 unequal: No Solution
Exploring Operation: 79*116=9164, Resulting Numbers: [9164]
9164,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[71, 124], Operations: ['63+8=71', '45+79=124']
Exploring Operation: 124-71=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 71*124=8804, Resulting Numbers: [8804]
8804,83 unequal: No Solution
Exploring Operation: 71+124=195, Resulting Numbers: [195]
195,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[79, 26], Operations: ['63+8=71', '71-45=26']
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 79*26=2054, Resulting Numbers: [2054]
2054,83 unequal: No Solution
Exploring Operation: 79+26=105, Resulting Numbers: [105]
105,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 83:[71, 34], Operations: ['63+8=71', '79-45=34']
Exploring Operation: 71+34=105, Resulting Numbers: [105]
105,83 unequal: No Solution
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 71*34=2414, Resulting Numbers: [2414]
2414,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[45, 150], Operations: ['63+8=71', '79+71=150']
Exploring Operation: 45*150=6750, Resulting Numbers: [6750]
6750,83 unequal: No Solution
Exploring Operation: 45+150=195, Resulting Numbers: [195]
195,83 unequal: No Solution
Exploring Operation: 150-45=105, Resulting Numbers: [105]
105,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[79, 63, 53], Operations: ['45+8=53']
Exploring Operation: 63-53=10, Resulting Numbers: [79, 10]
Generated Node #0,1,0: 83:[79, 10] Operation: 63-53=10
Exploring Operation: 63+53=116, Resulting Numbers: [79, 116]
Generated Node #0,1,1: 83:[79, 116] Operation: 63+53=116
Exploring Operation: 79-53=26, Resulting Numbers: [63, 26]
Generated Node #0,1,2: 83:[63, 26] Operation: 79-53=26
Exploring Operation: 79+53=132, Resulting Numbers: [63, 132]
Generated Node #0,1,3: 83:[63, 132] Operation: 79+53=132
Exploring Operation: 79+63=142, Resulting Numbers: [53, 142]
Generated Node #0,1,4: 83:[53, 142] Operation: 79+63=142
Moving to Node #0,1,1
Current State: 83:[79, 116], Operations: ['45+8=53', '63+53=116']
Exploring Operation: 79+116=195, Resulting Numbers: [195]
195,83 unequal: No Solution
Exploring Operation: 116-79=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 79*116=9164, Resulting Numbers: [9164]
9164,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[63, 132], Operations: ['45+8=53', '79+53=132']
Exploring Operation: 63*132=8316, Resulting Numbers: [8316]
8316,83 unequal: No Solution
Exploring Operation: 132-63=69, Resulting Numbers: [69]
69,83 unequal: No Solution
Exploring Operation: 63+132=195, Resulting Numbers: [195]
195,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[79, 10], Operations: ['45+8=53', '63-53=10']
Exploring Operation: 79*10=790, Resulting Numbers: [790]
790,83 unequal: No Solution
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,83 unequal: No Solution
Exploring Operation: 79+10=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[63, 26], Operations: ['45+8=53', '79-53=26']
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,83 unequal: No Solution
Moving to Node #0,1,4
Current State: 83:[53, 142], Operations: ['45+8=53', '79+63=142']
Exploring Operation: 53*142=7526, Resulting Numbers: [7526]
7526,83 unequal: No Solution
Exploring Operation: 142-53=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 53+142=195, Resulting Numbers: [195]
195,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[45, 63, 87], Operations: ['79+8=87']
Exploring Operation: 63-45=18, Resulting Numbers: [87, 18]
Generated Node #0,3,0: 83:[87, 18] Operation: 63-45=18
Exploring Operation: 45+63=108, Resulting Numbers: [87, 108]
Generated Node #0,3,1: 83:[87, 108] Operation: 45+63=108
Exploring Operation: 87-63=24, Resulting Numbers: [45, 24]
Generated Node #0,3,2: 83:[45, 24] Operation: 87-63=24
Exploring Operation: 87-45=42, Resulting Numbers: [63, 42]
Generated Node #0,3,3: 83:[63, 42] Operation: 87-45=42
Exploring Operation: 45+87=132, Resulting Numbers: [63, 132]
Generated Node #0,3,4: 83:[63, 132] Operation: 45+87=132
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 83:[87, 108], Operations: ['79+8=87', '45+63=108']
Exploring Operation: 87*108=9396, Resulting Numbers: [9396]
9396,83 unequal: No Solution
Exploring Operation: 87+108=195, Resulting Numbers: [195]
195,83 unequal: No Solution
Exploring Operation: 108-87=21, Resulting Numbers: [21]
21,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 83:[63, 42], Operations: ['79+8=87', '87-45=42']
Exploring Operation: 63+42=105, Resulting Numbers: [105]
105,83 unequal: No Solution
Exploring Operation: 63*42=2646, Resulting Numbers: [2646]
2646,83 unequal: No Solution
Exploring Operation: 63-42=21, Resulting Numbers: [21]
21,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 83:[87, 18], Operations: ['79+8=87', '63-45=18']
Exploring Operation: 87*18=1566, Resulting Numbers: [1566]
1566,83 unequal: No Solution
Exploring Operation: 87+18=105, Resulting Numbers: [105]
105,83 unequal: No Solution
Exploring Operation: 87-18=69, Resulting Numbers: [69]
69,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 83:[63, 132], Operations: ['79+8=87', '45+87=132']
Exploring Operation: 63*132=8316, Resulting Numbers: [8316]
8316,83 unequal: No Solution
Exploring Operation: 63+132=195, Resulting Numbers: [195]
195,83 unequal: No Solution
Exploring Operation: 132-63=69, Resulting Numbers: [69]
69,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 83:[45, 24], Operations: ['79+8=87', '87-63=24']
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,83 unequal: No Solution
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 45*24=1080, Resulting Numbers: [1080]
1080,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[79, 63, 37], Operations: ['45-8=37']
Exploring Operation: 63-37=26, Resulting Numbers: [79, 26]
Generated Node #0,2,0: 83:[79, 26] Operation: 63-37=26
Exploring Operation: 79+37=116, Resulting Numbers: [63, 116]
Generated Node #0,2,1: 83:[63, 116] Operation: 79+37=116
Exploring Operation: 79+63=142, Resulting Numbers: [37, 142]
Generated Node #0,2,2: 83:[37, 142] Operation: 79+63=142
Exploring Operation: 63+37=100, Resulting Numbers: [79, 100]
Generated Node #0,2,3: 83:[79, 100] Operation: 63+37=100
Exploring Operation: 79-37=42, Resulting Numbers: [63, 42]
Generated Node #0,2,4: 83:[63, 42] Operation: 79-37=42
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 83:[79, 100], Operations: ['45-8=37', '63+37=100']
Exploring Operation: 100-79=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 79*100=7900, Resulting Numbers: [7900]
7900,83 unequal: No Solution
Exploring Operation: 79+100=179, Resulting Numbers: [179]
179,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 83:[63, 116], Operations: ['45-8=37', '79+37=116']
Exploring Operation: 116-63=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 63+116=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Exploring Operation: 63*116=7308, Resulting Numbers: [7308]
7308,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[79, 26], Operations: ['45-8=37', '63-37=26']
Exploring Operation: 79+26=105, Resulting Numbers: [105]
105,83 unequal: No Solution
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 79*26=2054, Resulting Numbers: [2054]
2054,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 83:[63, 42], Operations: ['45-8=37', '79-37=42']
Exploring Operation: 63-42=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 63+42=105, Resulting Numbers: [105]
105,83 unequal: No Solution
Exploring Operation: 63*42=2646, Resulting Numbers: [2646]
2646,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 83:[37, 142], Operations: ['45-8=37', '79+63=142']
Exploring Operation: 142-37=105, Resulting Numbers: [105]
105,83 unequal: No Solution
Exploring Operation: 37*142=5254, Resulting Numbers: [5254]
5254,83 unequal: No Solution
Exploring Operation: 37+142=179, Resulting Numbers: [179]
179,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 83:[45, 63, 71], Operations: ['79-8=71']
Exploring Operation: 63-45=18, Resulting Numbers: [71, 18]
Generated Node #0,4,0: 83:[71, 18] Operation: 63-45=18
Exploring Operation: 71-45=26, Resulting Numbers: [63, 26]
Generated Node #0,4,1: 83:[63, 26] Operation: 71-45=26
Exploring Operation: 45+71=116, Resulting Numbers: [63, 116]
Generated Node #0,4,2: 83:[63, 116] Operation: 45+71=116
Exploring Operation: 45+63=108, Resulting Numbers: [71, 108]
Generated Node #0,4,3: 83:[71, 108] Operation: 45+63=108
Exploring Operation: 63+71=134, Resulting Numbers: [45, 134]
Generated Node #0,4,4: 83:[45, 134] Operation: 63+71=134
Moving to Node #0,4,3
Current State: 83:[71, 108], Operations: ['79-8=71', '45+63=108']
Exploring Operation: 108-71=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 71*108=7668, Resulting Numbers: [7668]
7668,83 unequal: No Solution
Exploring Operation: 71+108=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Moving to Node #0,4,2
Current State: 83:[63, 116], Operations: ['79-8=71', '45+71=116']
Exploring Operation: 116-63=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 63+116=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Exploring Operation: 63*116=7308, Resulting Numbers: [7308]
7308,83 unequal: No Solution
Moving to Node #0,4,0
Current State: 83:[71, 18], Operations: ['79-8=71', '63-45=18']
Exploring Operation: 71*18=1278, Resulting Numbers: [1278]
1278,83 unequal: No Solution
Exploring Operation: 71+18=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Moving to Node #0,4,1
Current State: 83:[63, 26], Operations: ['79-8=71', '71-45=26']
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,83 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Moving to Node #0,4,4
Current State: 83:[45, 134], Operations: ['79-8=71', '63+71=134']
Exploring Operation: 45+134=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Exploring Operation: 134-45=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 45*134=6030, Resulting Numbers: [6030]
6030,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
35,
21,
69,
29
] | 86 |
[
"35*69=2415",
"2415/21=115",
"115-29=86"
] |
Current State: 86:[35, 21, 69, 29], Operations: []
Exploring Operation: 35*69=2415, Resulting Numbers: [21, 29, 2415]
Generated Node #2: [21, 29, 2415] from Operation: 35*69=2415
Current State: 86:[21, 29, 2415], Operations: ['35*69=2415']
Exploring Operation: 2415/21=115, Resulting Numbers: [29, 115]
Generated Node #3: [29, 115] from Operation: 2415/21=115
Current State: 86:[29, 115], Operations: ['35*69=2415', '2415/21=115']
Exploring Operation: 115-29=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
Current State: 86:[35, 21, 69, 29], Operations: []
Exploring Operation: 21+69=90, Resulting Numbers: [35, 29, 90]
Generated Node #0,0: 86:[35, 29, 90] Operation: 21+69=90
Exploring Operation: 69-21=48, Resulting Numbers: [35, 29, 48]
Generated Node #0,1: 86:[35, 29, 48] Operation: 69-21=48
Exploring Operation: 69-29=40, Resulting Numbers: [35, 21, 40]
Generated Node #0,2: 86:[35, 21, 40] Operation: 69-29=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[35, 29, 90], Operations: ['21+69=90']
Exploring Operation: 35-29=6, Resulting Numbers: [90, 6]
Generated Node #0,0,0: 86:[90, 6] Operation: 35-29=6
Exploring Operation: 90-35=55, Resulting Numbers: [29, 55]
Generated Node #0,0,1: 86:[29, 55] Operation: 90-35=55
Exploring Operation: 35+29=64, Resulting Numbers: [90, 64]
Generated Node #0,0,2: 86:[90, 64] Operation: 35+29=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[90, 6], Operations: ['21+69=90', '35-29=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,86 unequal: No Solution
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 86:[90, 64], Operations: ['21+69=90', '35+29=64']
Exploring Operation: 90-64=26, Resulting Numbers: [26]
26,86 unequal: No Solution
Exploring Operation: 90*64=5760, Resulting Numbers: [5760]
5760,86 unequal: No Solution
Exploring Operation: 90+64=154, Resulting Numbers: [154]
154,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[29, 55], Operations: ['21+69=90', '90-35=55']
Exploring Operation: 29*55=1595, Resulting Numbers: [1595]
1595,86 unequal: No Solution
Exploring Operation: 29+55=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Exploring Operation: 55-29=26, Resulting Numbers: [26]
26,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[35, 29, 48], Operations: ['69-21=48']
Exploring Operation: 29+48=77, Resulting Numbers: [35, 77]
Generated Node #0,1,0: 86:[35, 77] Operation: 29+48=77
Exploring Operation: 35+48=83, Resulting Numbers: [29, 83]
Generated Node #0,1,1: 86:[29, 83] Operation: 35+48=83
Exploring Operation: 35-29=6, Resulting Numbers: [48, 6]
Generated Node #0,1,2: 86:[48, 6] Operation: 35-29=6
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 86:[48, 6], Operations: ['69-21=48', '35-29=6']
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[35, 77], Operations: ['69-21=48', '29+48=77']
Exploring Operation: 35*77=2695, Resulting Numbers: [2695]
2695,86 unequal: No Solution
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 35+77=112, Resulting Numbers: [112]
112,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[29, 83], Operations: ['69-21=48', '35+48=83']
Exploring Operation: 29+83=112, Resulting Numbers: [112]
112,86 unequal: No Solution
Exploring Operation: 29*83=2407, Resulting Numbers: [2407]
2407,86 unequal: No Solution
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[35, 21, 40], Operations: ['69-29=40']
Exploring Operation: 40-35=5, Resulting Numbers: [21, 5]
Generated Node #0,2,0: 86:[21, 5] Operation: 40-35=5
Exploring Operation: 35+21=56, Resulting Numbers: [40, 56]
Generated Node #0,2,1: 86:[40, 56] Operation: 35+21=56
Exploring Operation: 35-21=14, Resulting Numbers: [40, 14]
Generated Node #0,2,2: 86:[40, 14] Operation: 35-21=14
Moving to Node #0,2,2
Current State: 86:[40, 14], Operations: ['69-29=40', '35-21=14']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,86 unequal: No Solution
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,86 unequal: No Solution
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[40, 56], Operations: ['69-29=40', '35+21=56']
Exploring Operation: 40*56=2240, Resulting Numbers: [2240]
2240,86 unequal: No Solution
Exploring Operation: 40+56=96, Resulting Numbers: [96]
96,86 unequal: No Solution
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[21, 5], Operations: ['69-29=40', '40-35=5']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,86 unequal: No Solution
Exploring Operation: 21*5=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
48,
91,
91,
55
] | 55 |
[
"91-91=0",
"48*0=0",
"55+0=55"
] |
Current State: 55:[48, 91, 91, 55], Operations: []
Exploring Operation: 91-91=0, Resulting Numbers: [48, 55, 0]
Generated Node #2: [48, 55, 0] from Operation: 91-91=0
Current State: 55:[48, 55, 0], Operations: ['91-91=0']
Exploring Operation: 48*0=0, Resulting Numbers: [55, 0]
Generated Node #3: [55, 0] from Operation: 48*0=0
Current State: 55:[55, 0], Operations: ['91-91=0', '48*0=0']
Exploring Operation: 55+0=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
Current State: 55:[48, 91, 91, 55], Operations: []
Exploring Operation: 91/91=1, Resulting Numbers: [48, 55, 1]
Generated Node #0,0: 55:[48, 55, 1] Operation: 91/91=1
Exploring Operation: 91-48=43, Resulting Numbers: [91, 55, 43]
Generated Node #0,1: 55:[91, 55, 43] Operation: 91-48=43
Exploring Operation: 91-48=43, Resulting Numbers: [91, 55, 43]
Generated Node #0,2: 55:[91, 55, 43] Operation: 91-48=43
Exploring Operation: 91-91=0, Resulting Numbers: [48, 55, 0]
Generated Node #0,3: 55:[48, 55, 0] Operation: 91-91=0
Exploring Operation: 91-55=36, Resulting Numbers: [48, 91, 36]
Generated Node #0,4: 55:[48, 91, 36] Operation: 91-55=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[48, 55, 1], Operations: ['91/91=1']
Exploring Operation: 48+1=49, Resulting Numbers: [55, 49]
Generated Node #0,0,0: 55:[55, 49] Operation: 48+1=49
Exploring Operation: 55-48=7, Resulting Numbers: [1, 7]
Generated Node #0,0,1: 55:[1, 7] Operation: 55-48=7
Exploring Operation: 48/1=48, Resulting Numbers: [55, 48]
Generated Node #0,0,2: 55:[55, 48] Operation: 48/1=48
Exploring Operation: 48*1=48, Resulting Numbers: [55, 48]
Generated Node #0,0,3: 55:[55, 48] Operation: 48*1=48
Exploring Operation: 55*1=55, Resulting Numbers: [48, 55]
Generated Node #0,0,4: 55:[48, 55] Operation: 55*1=55
Moving to Node #0,0,0
Current State: 55:[55, 49], Operations: ['91/91=1', '48+1=49']
Exploring Operation: 55+49=104, Resulting Numbers: [104]
104,55 unequal: No Solution
Exploring Operation: 55*49=2695, Resulting Numbers: [2695]
2695,55 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[1, 7], Operations: ['91/91=1', '55-48=7']
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Exploring Operation: 1*7=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[55, 48], Operations: ['91/91=1', '48/1=48']
Exploring Operation: 55+48=103, Resulting Numbers: [103]
103,55 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Exploring Operation: 55*48=2640, Resulting Numbers: [2640]
2640,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[55, 48], Operations: ['91/91=1', '48*1=48']
Exploring Operation: 55+48=103, Resulting Numbers: [103]
103,55 unequal: No Solution
Exploring Operation: 55*48=2640, Resulting Numbers: [2640]
2640,55 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,55 unequal: No Solution
Moving to Node #0,0,4
Current State: 55:[48, 55], Operations: ['91/91=1', '55*1=55']
Exploring Operation: 48+55=103, Resulting Numbers: [103]
103,55 unequal: No Solution
Exploring Operation: 48*55=2640, Resulting Numbers: [2640]
2640,55 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[48, 55, 0], Operations: ['91-91=0']
Exploring Operation: 55+0=55, Resulting Numbers: [48, 55]
Generated Node #0,3,0: 55:[48, 55] Operation: 55+0=55
Exploring Operation: 48-0=48, Resulting Numbers: [55, 48]
Generated Node #0,3,1: 55:[55, 48] Operation: 48-0=48
Exploring Operation: 48+0=48, Resulting Numbers: [55, 48]
Generated Node #0,3,2: 55:[55, 48] Operation: 48+0=48
Exploring Operation: 55-48=7, Resulting Numbers: [0, 7]
Generated Node #0,3,3: 55:[0, 7] Operation: 55-48=7
Exploring Operation: 48*0=0, Resulting Numbers: [55, 0]
Generated Node #0,3,4: 55:[55, 0] Operation: 48*0=0
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 55:[55, 0], Operations: ['91-91=0', '48*0=0']
Exploring Operation: 55+0=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[48, 91, 91, 55], Operations: []
Exploring Operation: 91-91=0, Resulting Numbers: [48, 55, 0]
Generated Node #0,3: 55:[48, 55, 0] Operation: 91-91=0
Moving to Node #0,3
Current State: 55:[48, 55, 0], Operations: ['91-91=0']
Exploring Operation: 48*0=0, Resulting Numbers: [55, 0]
Generated Node #0,3,4: 55:[55, 0] Operation: 48*0=0
Moving to Node #0,3,4
Current State: 55:[55, 0], Operations: ['91-91=0', '48*0=0']
Exploring Operation: 55+0=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 |
hs_5
|
sum_heuristic
|
[
92,
1,
10,
17
] | 85 |
[
"92*1=92",
"17-10=7",
"92-7=85"
] |
Current State: 85:[92, 1, 10, 17], Operations: []
Exploring Operation: 92*1=92, Resulting Numbers: [10, 17, 92]
Generated Node #2: [10, 17, 92] from Operation: 92*1=92
Current State: 85:[10, 17, 92], Operations: ['92*1=92']
Exploring Operation: 17-10=7, Resulting Numbers: [92, 7]
Generated Node #3: [92, 7] from Operation: 17-10=7
Current State: 85:[92, 7], Operations: ['92*1=92', '17-10=7']
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
Current State: 85:[92, 1, 10, 17], Operations: []
Exploring Operation: 10-1=9, Resulting Numbers: [92, 17, 9]
Generated Node #0,0: 85:[92, 17, 9] Operation: 10-1=9
Exploring Operation: 92-10=82, Resulting Numbers: [1, 17, 82]
Generated Node #0,1: 85:[1, 17, 82] Operation: 92-10=82
Exploring Operation: 92-1=91, Resulting Numbers: [10, 17, 91]
Generated Node #0,2: 85:[10, 17, 91] Operation: 92-1=91
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[1, 17, 82], Operations: ['92-10=82']
Exploring Operation: 17/1=17, Resulting Numbers: [82, 17]
Generated Node #0,1,0: 85:[82, 17] Operation: 17/1=17
Exploring Operation: 1*17=17, Resulting Numbers: [82, 17]
Generated Node #0,1,1: 85:[82, 17] Operation: 1*17=17
Exploring Operation: 1+82=83, Resulting Numbers: [17, 83]
Generated Node #0,1,2: 85:[17, 83] Operation: 1+82=83
Moving to Node #0,1,2
Current State: 85:[17, 83], Operations: ['92-10=82', '1+82=83']
Exploring Operation: 17+83=100, Resulting Numbers: [100]
100,85 unequal: No Solution
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,85 unequal: No Solution
Exploring Operation: 17*83=1411, Resulting Numbers: [1411]
1411,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[82, 17], Operations: ['92-10=82', '17/1=17']
Exploring Operation: 82+17=99, Resulting Numbers: [99]
99,85 unequal: No Solution
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,85 unequal: No Solution
Exploring Operation: 82*17=1394, Resulting Numbers: [1394]
1394,85 unequal: No Solution
Moving to Node #0,1,1
Current State: 85:[82, 17], Operations: ['92-10=82', '1*17=17']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,85 unequal: No Solution
Exploring Operation: 82+17=99, Resulting Numbers: [99]
99,85 unequal: No Solution
Exploring Operation: 82*17=1394, Resulting Numbers: [1394]
1394,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[92, 17, 9], Operations: ['10-1=9']
Exploring Operation: 92-17=75, Resulting Numbers: [9, 75]
Generated Node #0,0,0: 85:[9, 75] Operation: 92-17=75
Exploring Operation: 17-9=8, Resulting Numbers: [92, 8]
Generated Node #0,0,1: 85:[92, 8] Operation: 17-9=8
Exploring Operation: 92-9=83, Resulting Numbers: [17, 83]
Generated Node #0,0,2: 85:[17, 83] Operation: 92-9=83
Moving to Node #0,0,2
Current State: 85:[17, 83], Operations: ['10-1=9', '92-9=83']
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,85 unequal: No Solution
Exploring Operation: 17+83=100, Resulting Numbers: [100]
100,85 unequal: No Solution
Exploring Operation: 17*83=1411, Resulting Numbers: [1411]
1411,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[92, 8], Operations: ['10-1=9', '17-9=8']
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,85 unequal: No Solution
Exploring Operation: 92*8=736, Resulting Numbers: [736]
736,85 unequal: No Solution
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[9, 75], Operations: ['10-1=9', '92-17=75']
Exploring Operation: 9*75=675, Resulting Numbers: [675]
675,85 unequal: No Solution
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,85 unequal: No Solution
Exploring Operation: 9+75=84, Resulting Numbers: [84]
84,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[10, 17, 91], Operations: ['92-1=91']
Exploring Operation: 91-10=81, Resulting Numbers: [17, 81]
Generated Node #0,2,0: 85:[17, 81] Operation: 91-10=81
Exploring Operation: 17-10=7, Resulting Numbers: [91, 7]
Generated Node #0,2,1: 85:[91, 7] Operation: 17-10=7
Exploring Operation: 10+17=27, Resulting Numbers: [91, 27]
Generated Node #0,2,2: 85:[91, 27] Operation: 10+17=27
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 85:[17, 81], Operations: ['92-1=91', '91-10=81']
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,85 unequal: No Solution
Exploring Operation: 17+81=98, Resulting Numbers: [98]
98,85 unequal: No Solution
Exploring Operation: 17*81=1377, Resulting Numbers: [1377]
1377,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 85:[91, 7], Operations: ['92-1=91', '17-10=7']
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,85 unequal: No Solution
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 85:[91, 27], Operations: ['92-1=91', '10+17=27']
Exploring Operation: 91*27=2457, Resulting Numbers: [2457]
2457,85 unequal: No Solution
Exploring Operation: 91+27=118, Resulting Numbers: [118]
118,85 unequal: No Solution
Exploring Operation: 91-27=64, Resulting Numbers: [64]
64,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
85,
82,
74,
40
] | 80 |
[
"82-74=8",
"40/8=5",
"85-5=80"
] |
Current State: 80:[85, 82, 74, 40], Operations: []
Exploring Operation: 82-74=8, Resulting Numbers: [85, 40, 8]
Generated Node #2: [85, 40, 8] from Operation: 82-74=8
Current State: 80:[85, 40, 8], Operations: ['82-74=8']
Exploring Operation: 40/8=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 40/8=5
Current State: 80:[85, 5], Operations: ['82-74=8', '40/8=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[85, 82, 74, 40], Operations: []
Exploring Operation: 85-74=11, Resulting Numbers: [82, 40, 11]
Generated Node #0,0: 80:[82, 40, 11] Operation: 85-74=11
Exploring Operation: 82-74=8, Resulting Numbers: [85, 40, 8]
Generated Node #0,1: 80:[85, 40, 8] Operation: 82-74=8
Exploring Operation: 85-82=3, Resulting Numbers: [74, 40, 3]
Generated Node #0,2: 80:[74, 40, 3] Operation: 85-82=3
Moving to Node #0,0
Current State: 80:[82, 40, 11], Operations: ['85-74=11']
Exploring Operation: 82-40=42, Resulting Numbers: [11, 42]
Generated Node #0,0,0: 80:[11, 42] Operation: 82-40=42
Exploring Operation: 82-11=71, Resulting Numbers: [40, 71]
Generated Node #0,0,1: 80:[40, 71] Operation: 82-11=71
Exploring Operation: 40-11=29, Resulting Numbers: [82, 29]
Generated Node #0,0,2: 80:[82, 29] Operation: 40-11=29
Moving to Node #0,1
Current State: 80:[85, 40, 8], Operations: ['82-74=8']
Exploring Operation: 85-8=77, Resulting Numbers: [40, 77]
Generated Node #0,1,0: 80:[40, 77] Operation: 85-8=77
Exploring Operation: 40/8=5, Resulting Numbers: [85, 5]
Generated Node #0,1,1: 80:[85, 5] Operation: 40/8=5
Exploring Operation: 85-40=45, Resulting Numbers: [8, 45]
Generated Node #0,1,2: 80:[8, 45] Operation: 85-40=45
Moving to Node #0,2
Current State: 80:[74, 40, 3], Operations: ['85-82=3']
Exploring Operation: 74-40=34, Resulting Numbers: [3, 34]
Generated Node #0,2,0: 80:[3, 34] Operation: 74-40=34
Exploring Operation: 74-3=71, Resulting Numbers: [40, 71]
Generated Node #0,2,1: 80:[40, 71] Operation: 74-3=71
Exploring Operation: 74+3=77, Resulting Numbers: [40, 77]
Generated Node #0,2,2: 80:[40, 77] Operation: 74+3=77
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 80:[40, 77], Operations: ['85-82=3', '74+3=77']
Exploring Operation: 40*77=3080, Resulting Numbers: [3080]
3080,80 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 40+77=117, Resulting Numbers: [117]
117,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[3, 34], Operations: ['85-82=3', '74-40=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,80 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[40, 71], Operations: ['85-82=3', '74-3=71']
Exploring Operation: 40*71=2840, Resulting Numbers: [2840]
2840,80 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,80 unequal: No Solution
Exploring Operation: 40+71=111, Resulting Numbers: [111]
111,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 80:[11, 42], Operations: ['85-74=11', '82-40=42']
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,80 unequal: No Solution
Exploring Operation: 11*42=462, Resulting Numbers: [462]
462,80 unequal: No Solution
Exploring Operation: 11+42=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[40, 77], Operations: ['82-74=8', '85-8=77']
Exploring Operation: 40+77=117, Resulting Numbers: [117]
117,80 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 40*77=3080, Resulting Numbers: [3080]
3080,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[8, 45], Operations: ['82-74=8', '85-40=45']
Exploring Operation: 8*45=360, Resulting Numbers: [360]
360,80 unequal: No Solution
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[85, 5], Operations: ['82-74=8', '40/8=5']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[85, 82, 74, 40], Operations: []
Exploring Operation: 82-74=8, Resulting Numbers: [85, 40, 8]
Generated Node #0,1: 80:[85, 40, 8] Operation: 82-74=8
Moving to Node #0,1
Current State: 80:[85, 40, 8], Operations: ['82-74=8']
Exploring Operation: 40/8=5, Resulting Numbers: [85, 5]
Generated Node #0,1,1: 80:[85, 5] Operation: 40/8=5
Moving to Node #0,1,1
Current State: 80:[85, 5], Operations: ['82-74=8', '40/8=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.967882 |
hs_3
|
mult_heuristic
|
[
86,
50,
55,
70
] | 89 |
[
"86-50=36",
"55+70=125",
"125-36=89"
] |
Current State: 89:[86, 50, 55, 70], Operations: []
Exploring Operation: 86-50=36, Resulting Numbers: [55, 70, 36]
Generated Node #2: [55, 70, 36] from Operation: 86-50=36
Current State: 89:[55, 70, 36], Operations: ['86-50=36']
Exploring Operation: 55+70=125, Resulting Numbers: [36, 125]
Generated Node #3: [36, 125] from Operation: 55+70=125
Current State: 89:[36, 125], Operations: ['86-50=36', '55+70=125']
Exploring Operation: 125-36=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
Current State: 89:[86, 50, 55, 70], Operations: []
Exploring Operation: 50+55=105, Resulting Numbers: [86, 70, 105]
Generated Node #0,0: 89:[86, 70, 105] Operation: 50+55=105
Exploring Operation: 50+70=120, Resulting Numbers: [86, 55, 120]
Generated Node #0,1: 89:[86, 55, 120] Operation: 50+70=120
Moving to Node #0,0
Current State: 89:[86, 70, 105], Operations: ['50+55=105']
Exploring Operation: 86+70=156, Resulting Numbers: [105, 156]
Generated Node #0,0,0: 89:[105, 156] Operation: 86+70=156
Exploring Operation: 105-70=35, Resulting Numbers: [86, 35]
Generated Node #0,0,1: 89:[86, 35] Operation: 105-70=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[86, 35], Operations: ['50+55=105', '105-70=35']
Exploring Operation: 86+35=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[105, 156], Operations: ['50+55=105', '86+70=156']
Exploring Operation: 105+156=261, Resulting Numbers: [261]
261,89 unequal: No Solution
Exploring Operation: 156-105=51, Resulting Numbers: [51]
51,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 89:[86, 55, 120], Operations: ['50+70=120']
Exploring Operation: 86+55=141, Resulting Numbers: [120, 141]
Generated Node #0,1,0: 89:[120, 141] Operation: 86+55=141
Exploring Operation: 120-55=65, Resulting Numbers: [86, 65]
Generated Node #0,1,1: 89:[86, 65] Operation: 120-55=65
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[86, 65], Operations: ['50+70=120', '120-55=65']
Exploring Operation: 86+65=151, Resulting Numbers: [151]
151,89 unequal: No Solution
Exploring Operation: 86-65=21, Resulting Numbers: [21]
21,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[120, 141], Operations: ['50+70=120', '86+55=141']
Exploring Operation: 120+141=261, Resulting Numbers: [261]
261,89 unequal: No Solution
Exploring Operation: 141-120=21, Resulting Numbers: [21]
21,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
98,
44,
70,
68
] | 93 |
[
"70-68=2",
"98/2=49",
"44+49=93"
] |
Current State: 93:[98, 44, 70, 68], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [98, 44, 2]
Generated Node #2: [98, 44, 2] from Operation: 70-68=2
Current State: 93:[98, 44, 2], Operations: ['70-68=2']
Exploring Operation: 98/2=49, Resulting Numbers: [44, 49]
Generated Node #3: [44, 49] from Operation: 98/2=49
Current State: 93:[44, 49], Operations: ['70-68=2', '98/2=49']
Exploring Operation: 44+49=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[98, 44, 70, 68], Operations: []
Exploring Operation: 68-44=24, Resulting Numbers: [98, 70, 24]
Generated Node #0,0: 93:[98, 70, 24] Operation: 68-44=24
Exploring Operation: 98-68=30, Resulting Numbers: [44, 70, 30]
Generated Node #0,1: 93:[44, 70, 30] Operation: 98-68=30
Exploring Operation: 70-44=26, Resulting Numbers: [98, 68, 26]
Generated Node #0,2: 93:[98, 68, 26] Operation: 70-44=26
Exploring Operation: 70-68=2, Resulting Numbers: [98, 44, 2]
Generated Node #0,3: 93:[98, 44, 2] Operation: 70-68=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[98, 44, 2], Operations: ['70-68=2']
Exploring Operation: 98-2=96, Resulting Numbers: [44, 96]
Generated Node #0,3,0: 93:[44, 96] Operation: 98-2=96
Exploring Operation: 44-2=42, Resulting Numbers: [98, 42]
Generated Node #0,3,1: 93:[98, 42] Operation: 44-2=42
Exploring Operation: 44/2=22, Resulting Numbers: [98, 22]
Generated Node #0,3,2: 93:[98, 22] Operation: 44/2=22
Exploring Operation: 44*2=88, Resulting Numbers: [98, 88]
Generated Node #0,3,3: 93:[98, 88] Operation: 44*2=88
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 93:[98, 88], Operations: ['70-68=2', '44*2=88']
Exploring Operation: 98*88=8624, Resulting Numbers: [8624]
8624,93 unequal: No Solution
Exploring Operation: 98-88=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 98+88=186, Resulting Numbers: [186]
186,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 93:[98, 22], Operations: ['70-68=2', '44/2=22']
Exploring Operation: 98-22=76, Resulting Numbers: [76]
76,93 unequal: No Solution
Exploring Operation: 98+22=120, Resulting Numbers: [120]
120,93 unequal: No Solution
Exploring Operation: 98*22=2156, Resulting Numbers: [2156]
2156,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 93:[44, 96], Operations: ['70-68=2', '98-2=96']
Exploring Operation: 44+96=140, Resulting Numbers: [140]
140,93 unequal: No Solution
Exploring Operation: 44*96=4224, Resulting Numbers: [4224]
4224,93 unequal: No Solution
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 93:[98, 42], Operations: ['70-68=2', '44-2=42']
Exploring Operation: 98+42=140, Resulting Numbers: [140]
140,93 unequal: No Solution
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 98*42=4116, Resulting Numbers: [4116]
4116,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[98, 70, 24], Operations: ['68-44=24']
Exploring Operation: 70+24=94, Resulting Numbers: [98, 94]
Generated Node #0,0,0: 93:[98, 94] Operation: 70+24=94
Exploring Operation: 98-24=74, Resulting Numbers: [70, 74]
Generated Node #0,0,1: 93:[70, 74] Operation: 98-24=74
Exploring Operation: 70-24=46, Resulting Numbers: [98, 46]
Generated Node #0,0,2: 93:[98, 46] Operation: 70-24=46
Exploring Operation: 98-70=28, Resulting Numbers: [24, 28]
Generated Node #0,0,3: 93:[24, 28] Operation: 98-70=28
Moving to Node #0,0,0
Current State: 93:[98, 94], Operations: ['68-44=24', '70+24=94']
Exploring Operation: 98+94=192, Resulting Numbers: [192]
192,93 unequal: No Solution
Exploring Operation: 98*94=9212, Resulting Numbers: [9212]
9212,93 unequal: No Solution
Exploring Operation: 98-94=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[24, 28], Operations: ['68-44=24', '98-70=28']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 24*28=672, Resulting Numbers: [672]
672,93 unequal: No Solution
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[98, 46], Operations: ['68-44=24', '70-24=46']
Exploring Operation: 98*46=4508, Resulting Numbers: [4508]
4508,93 unequal: No Solution
Exploring Operation: 98+46=144, Resulting Numbers: [144]
144,93 unequal: No Solution
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[70, 74], Operations: ['68-44=24', '98-24=74']
Exploring Operation: 74-70=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 70+74=144, Resulting Numbers: [144]
144,93 unequal: No Solution
Exploring Operation: 70*74=5180, Resulting Numbers: [5180]
5180,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[98, 68, 26], Operations: ['70-44=26']
Exploring Operation: 98-26=72, Resulting Numbers: [68, 72]
Generated Node #0,2,0: 93:[68, 72] Operation: 98-26=72
Exploring Operation: 68+26=94, Resulting Numbers: [98, 94]
Generated Node #0,2,1: 93:[98, 94] Operation: 68+26=94
Exploring Operation: 68-26=42, Resulting Numbers: [98, 42]
Generated Node #0,2,2: 93:[98, 42] Operation: 68-26=42
Exploring Operation: 98-68=30, Resulting Numbers: [26, 30]
Generated Node #0,2,3: 93:[26, 30] Operation: 98-68=30
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[98, 94], Operations: ['70-44=26', '68+26=94']
Exploring Operation: 98*94=9212, Resulting Numbers: [9212]
9212,93 unequal: No Solution
Exploring Operation: 98+94=192, Resulting Numbers: [192]
192,93 unequal: No Solution
Exploring Operation: 98-94=4, Resulting Numbers: [4]
4,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 93:[26, 30], Operations: ['70-44=26', '98-68=30']
Exploring Operation: 26*30=780, Resulting Numbers: [780]
780,93 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 93:[98, 42], Operations: ['70-44=26', '68-26=42']
Exploring Operation: 98*42=4116, Resulting Numbers: [4116]
4116,93 unequal: No Solution
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 98+42=140, Resulting Numbers: [140]
140,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 93:[68, 72], Operations: ['70-44=26', '98-26=72']
Exploring Operation: 72-68=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 68*72=4896, Resulting Numbers: [4896]
4896,93 unequal: No Solution
Exploring Operation: 68+72=140, Resulting Numbers: [140]
140,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[44, 70, 30], Operations: ['98-68=30']
Exploring Operation: 70+30=100, Resulting Numbers: [44, 100]
Generated Node #0,1,0: 93:[44, 100] Operation: 70+30=100
Exploring Operation: 44+70=114, Resulting Numbers: [30, 114]
Generated Node #0,1,1: 93:[30, 114] Operation: 44+70=114
Exploring Operation: 70-44=26, Resulting Numbers: [30, 26]
Generated Node #0,1,2: 93:[30, 26] Operation: 70-44=26
Exploring Operation: 70-30=40, Resulting Numbers: [44, 40]
Generated Node #0,1,3: 93:[44, 40] Operation: 70-30=40
Moving to Node #0,1,2
Current State: 93:[30, 26], Operations: ['98-68=30', '70-44=26']
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 30*26=780, Resulting Numbers: [780]
780,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[44, 100], Operations: ['98-68=30', '70+30=100']
Exploring Operation: 100-44=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 44+100=144, Resulting Numbers: [144]
144,93 unequal: No Solution
Exploring Operation: 44*100=4400, Resulting Numbers: [4400]
4400,93 unequal: No Solution
Moving to Node #0,1,3
Current State: 93:[44, 40], Operations: ['98-68=30', '70-30=40']
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,93 unequal: No Solution
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,93 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[30, 114], Operations: ['98-68=30', '44+70=114']
Exploring Operation: 30+114=144, Resulting Numbers: [144]
144,93 unequal: No Solution
Exploring Operation: 30*114=3420, Resulting Numbers: [3420]
3420,93 unequal: No Solution
Exploring Operation: 114-30=84, Resulting Numbers: [84]
84,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
97,
95,
84,
77
] | 90 |
[
"95-84=11",
"77/11=7",
"97-7=90"
] |
Current State: 90:[97, 95, 84, 77], Operations: []
Exploring Operation: 95-84=11, Resulting Numbers: [97, 77, 11]
Generated Node #2: [97, 77, 11] from Operation: 95-84=11
Current State: 90:[97, 77, 11], Operations: ['95-84=11']
Exploring Operation: 77/11=7, Resulting Numbers: [97, 7]
Generated Node #3: [97, 7] from Operation: 77/11=7
Current State: 90:[97, 7], Operations: ['95-84=11', '77/11=7']
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[97, 95, 84, 77], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [84, 77, 2]
Generated Node #0,0: 90:[84, 77, 2] Operation: 97-95=2
Exploring Operation: 95-77=18, Resulting Numbers: [97, 84, 18]
Generated Node #0,1: 90:[97, 84, 18] Operation: 95-77=18
Exploring Operation: 84-77=7, Resulting Numbers: [97, 95, 7]
Generated Node #0,2: 90:[97, 95, 7] Operation: 84-77=7
Exploring Operation: 97-77=20, Resulting Numbers: [95, 84, 20]
Generated Node #0,3: 90:[95, 84, 20] Operation: 97-77=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[97, 84, 18], Operations: ['95-77=18']
Exploring Operation: 97-18=79, Resulting Numbers: [84, 79]
Generated Node #0,1,0: 90:[84, 79] Operation: 97-18=79
Exploring Operation: 84-18=66, Resulting Numbers: [97, 66]
Generated Node #0,1,1: 90:[97, 66] Operation: 84-18=66
Exploring Operation: 97-84=13, Resulting Numbers: [18, 13]
Generated Node #0,1,2: 90:[18, 13] Operation: 97-84=13
Exploring Operation: 84+18=102, Resulting Numbers: [97, 102]
Generated Node #0,1,3: 90:[97, 102] Operation: 84+18=102
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 90:[18, 13], Operations: ['95-77=18', '97-84=13']
Exploring Operation: 18+13=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 18*13=234, Resulting Numbers: [234]
234,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[84, 79], Operations: ['95-77=18', '97-18=79']
Exploring Operation: 84*79=6636, Resulting Numbers: [6636]
6636,90 unequal: No Solution
Exploring Operation: 84+79=163, Resulting Numbers: [163]
163,90 unequal: No Solution
Exploring Operation: 84-79=5, Resulting Numbers: [5]
5,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 90:[97, 102], Operations: ['95-77=18', '84+18=102']
Exploring Operation: 97*102=9894, Resulting Numbers: [9894]
9894,90 unequal: No Solution
Exploring Operation: 102-97=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 97+102=199, Resulting Numbers: [199]
199,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 90:[97, 66], Operations: ['95-77=18', '84-18=66']
Exploring Operation: 97-66=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Exploring Operation: 97+66=163, Resulting Numbers: [163]
163,90 unequal: No Solution
Exploring Operation: 97*66=6402, Resulting Numbers: [6402]
6402,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[97, 95, 7], Operations: ['84-77=7']
Exploring Operation: 95-7=88, Resulting Numbers: [97, 88]
Generated Node #0,2,0: 90:[97, 88] Operation: 95-7=88
Exploring Operation: 97-95=2, Resulting Numbers: [7, 2]
Generated Node #0,2,1: 90:[7, 2] Operation: 97-95=2
Exploring Operation: 97-7=90, Resulting Numbers: [95, 90]
Generated Node #0,2,2: 90:[95, 90] Operation: 97-7=90
Exploring Operation: 97+7=104, Resulting Numbers: [95, 104]
Generated Node #0,2,3: 90:[95, 104] Operation: 97+7=104
Moving to Node #0,2,1
Current State: 90:[7, 2], Operations: ['84-77=7', '97-95=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Moving to Node #0,2,2
Current State: 90:[95, 90], Operations: ['84-77=7', '97-7=90']
Exploring Operation: 95+90=185, Resulting Numbers: [185]
185,90 unequal: No Solution
Exploring Operation: 95-90=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 95*90=8550, Resulting Numbers: [8550]
8550,90 unequal: No Solution
Moving to Node #0,2,0
Current State: 90:[97, 88], Operations: ['84-77=7', '95-7=88']
Exploring Operation: 97*88=8536, Resulting Numbers: [8536]
8536,90 unequal: No Solution
Exploring Operation: 97-88=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 97+88=185, Resulting Numbers: [185]
185,90 unequal: No Solution
Moving to Node #0,2,3
Current State: 90:[95, 104], Operations: ['84-77=7', '97+7=104']
Exploring Operation: 104-95=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 95+104=199, Resulting Numbers: [199]
199,90 unequal: No Solution
Exploring Operation: 95*104=9880, Resulting Numbers: [9880]
9880,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 90:[95, 84, 20], Operations: ['97-77=20']
Exploring Operation: 84-20=64, Resulting Numbers: [95, 64]
Generated Node #0,3,0: 90:[95, 64] Operation: 84-20=64
Exploring Operation: 95-84=11, Resulting Numbers: [20, 11]
Generated Node #0,3,1: 90:[20, 11] Operation: 95-84=11
Exploring Operation: 84+20=104, Resulting Numbers: [95, 104]
Generated Node #0,3,2: 90:[95, 104] Operation: 84+20=104
Exploring Operation: 95-20=75, Resulting Numbers: [84, 75]
Generated Node #0,3,3: 90:[84, 75] Operation: 95-20=75
Moving to Node #0,3,1
Current State: 90:[20, 11], Operations: ['97-77=20', '95-84=11']
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,90 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Moving to Node #0,3,2
Current State: 90:[95, 104], Operations: ['97-77=20', '84+20=104']
Exploring Operation: 95+104=199, Resulting Numbers: [199]
199,90 unequal: No Solution
Exploring Operation: 104-95=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 95*104=9880, Resulting Numbers: [9880]
9880,90 unequal: No Solution
Moving to Node #0,3,3
Current State: 90:[84, 75], Operations: ['97-77=20', '95-20=75']
Exploring Operation: 84+75=159, Resulting Numbers: [159]
159,90 unequal: No Solution
Exploring Operation: 84*75=6300, Resulting Numbers: [6300]
6300,90 unequal: No Solution
Exploring Operation: 84-75=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,3,0
Current State: 90:[95, 64], Operations: ['97-77=20', '84-20=64']
Exploring Operation: 95+64=159, Resulting Numbers: [159]
159,90 unequal: No Solution
Exploring Operation: 95-64=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Exploring Operation: 95*64=6080, Resulting Numbers: [6080]
6080,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[84, 77, 2], Operations: ['97-95=2']
Exploring Operation: 84-77=7, Resulting Numbers: [2, 7]
Generated Node #0,0,0: 90:[2, 7] Operation: 84-77=7
Exploring Operation: 84+2=86, Resulting Numbers: [77, 86]
Generated Node #0,0,1: 90:[77, 86] Operation: 84+2=86
Exploring Operation: 77+2=79, Resulting Numbers: [84, 79]
Generated Node #0,0,2: 90:[84, 79] Operation: 77+2=79
Exploring Operation: 84/2=42, Resulting Numbers: [77, 42]
Generated Node #0,0,3: 90:[77, 42] Operation: 84/2=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[2, 7], Operations: ['97-95=2', '84-77=7']
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 90:[77, 42], Operations: ['97-95=2', '84/2=42']
Exploring Operation: 77-42=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 77*42=3234, Resulting Numbers: [3234]
3234,90 unequal: No Solution
Exploring Operation: 77+42=119, Resulting Numbers: [119]
119,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[77, 86], Operations: ['97-95=2', '84+2=86']
Exploring Operation: 77*86=6622, Resulting Numbers: [6622]
6622,90 unequal: No Solution
Exploring Operation: 86-77=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 77+86=163, Resulting Numbers: [163]
163,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 90:[84, 79], Operations: ['97-95=2', '77+2=79']
Exploring Operation: 84+79=163, Resulting Numbers: [163]
163,90 unequal: No Solution
Exploring Operation: 84-79=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 84*79=6636, Resulting Numbers: [6636]
6636,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
5,
65,
59,
77
] | 78 |
[
"65-5=60",
"77-59=18",
"60+18=78"
] |
Current State: 78:[5, 65, 59, 77], Operations: []
Exploring Operation: 65-5=60, Resulting Numbers: [59, 77, 60]
Generated Node #2: [59, 77, 60] from Operation: 65-5=60
Current State: 78:[59, 77, 60], Operations: ['65-5=60']
Exploring Operation: 77-59=18, Resulting Numbers: [60, 18]
Generated Node #3: [60, 18] from Operation: 77-59=18
Current State: 78:[60, 18], Operations: ['65-5=60', '77-59=18']
Exploring Operation: 60+18=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[5, 65, 59, 77], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [5, 77, 6]
Generated Node #0,0: 78:[5, 77, 6] Operation: 65-59=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[5, 77, 6], Operations: ['65-59=6']
Exploring Operation: 6-5=1, Resulting Numbers: [77, 1]
Generated Node #0,0,0: 78:[77, 1] Operation: 6-5=1
Moving to Node #0,0,0
Current State: 78:[77, 1], Operations: ['65-59=6', '6-5=1']
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[5, 65, 59, 77], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [5, 77, 6]
Generated Node #0,0: 78:[5, 77, 6] Operation: 65-59=6
Moving to Node #0,0
Current State: 78:[5, 77, 6], Operations: ['65-59=6']
Exploring Operation: 6-5=1, Resulting Numbers: [77, 1]
Generated Node #0,0,0: 78:[77, 1] Operation: 6-5=1
Moving to Node #0,0,0
Current State: 78:[77, 1], Operations: ['65-59=6', '6-5=1']
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
86,
29,
80,
38
] | 15 |
[
"86-29=57",
"80-38=42",
"57-42=15"
] |
Current State: 15:[86, 29, 80, 38], Operations: []
Exploring Operation: 86-29=57, Resulting Numbers: [80, 38, 57]
Generated Node #2: [80, 38, 57] from Operation: 86-29=57
Current State: 15:[80, 38, 57], Operations: ['86-29=57']
Exploring Operation: 80-38=42, Resulting Numbers: [57, 42]
Generated Node #3: [57, 42] from Operation: 80-38=42
Current State: 15:[57, 42], Operations: ['86-29=57', '80-38=42']
Exploring Operation: 57-42=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
Current State: 15:[86, 29, 80, 38], Operations: []
Exploring Operation: 80-29=51, Resulting Numbers: [86, 38, 51]
Generated Node #0,0: 15:[86, 38, 51] Operation: 80-29=51
Exploring Operation: 86-29=57, Resulting Numbers: [80, 38, 57]
Generated Node #0,1: 15:[80, 38, 57] Operation: 86-29=57
Exploring Operation: 86-80=6, Resulting Numbers: [29, 38, 6]
Generated Node #0,2: 15:[29, 38, 6] Operation: 86-80=6
Exploring Operation: 80-38=42, Resulting Numbers: [86, 29, 42]
Generated Node #0,3: 15:[86, 29, 42] Operation: 80-38=42
Exploring Operation: 86-38=48, Resulting Numbers: [29, 80, 48]
Generated Node #0,4: 15:[29, 80, 48] Operation: 86-38=48
Moving to Node #0,2
Current State: 15:[29, 38, 6], Operations: ['86-80=6']
Exploring Operation: 38-29=9, Resulting Numbers: [6, 9]
Generated Node #0,2,0: 15:[6, 9] Operation: 38-29=9
Exploring Operation: 38-6=32, Resulting Numbers: [29, 32]
Generated Node #0,2,1: 15:[29, 32] Operation: 38-6=32
Exploring Operation: 38+6=44, Resulting Numbers: [29, 44]
Generated Node #0,2,2: 15:[29, 44] Operation: 38+6=44
Exploring Operation: 29+6=35, Resulting Numbers: [38, 35]
Generated Node #0,2,3: 15:[38, 35] Operation: 29+6=35
Exploring Operation: 29-6=23, Resulting Numbers: [38, 23]
Generated Node #0,2,4: 15:[38, 23] Operation: 29-6=23
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[6, 9], Operations: ['86-80=6', '38-29=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,15 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[86, 29, 80, 38], Operations: []
Exploring Operation: 86-80=6, Resulting Numbers: [29, 38, 6]
Generated Node #0,2: 15:[29, 38, 6] Operation: 86-80=6
Moving to Node #0,2
Current State: 15:[29, 38, 6], Operations: ['86-80=6']
Exploring Operation: 38-29=9, Resulting Numbers: [6, 9]
Generated Node #0,2,0: 15:[6, 9] Operation: 38-29=9
Moving to Node #0,2,0
Current State: 15:[6, 9], Operations: ['86-80=6', '38-29=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
sum_heuristic
|
[
95,
38,
8,
62
] | 79 |
[
"95+38=133",
"62-8=54",
"133-54=79"
] |
Current State: 79:[95, 38, 8, 62], Operations: []
Exploring Operation: 95+38=133, Resulting Numbers: [8, 62, 133]
Generated Node #2: [8, 62, 133] from Operation: 95+38=133
Current State: 79:[8, 62, 133], Operations: ['95+38=133']
Exploring Operation: 62-8=54, Resulting Numbers: [133, 54]
Generated Node #3: [133, 54] from Operation: 62-8=54
Current State: 79:[133, 54], Operations: ['95+38=133', '62-8=54']
Exploring Operation: 133-54=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[95, 38, 8, 62], Operations: []
Exploring Operation: 95-8=87, Resulting Numbers: [38, 62, 87]
Generated Node #0,0: 79:[38, 62, 87] Operation: 95-8=87
Exploring Operation: 8+62=70, Resulting Numbers: [95, 38, 70]
Generated Node #0,1: 79:[95, 38, 70] Operation: 8+62=70
Exploring Operation: 38+8=46, Resulting Numbers: [95, 62, 46]
Generated Node #0,2: 79:[95, 62, 46] Operation: 38+8=46
Moving to Node #0,0
Current State: 79:[38, 62, 87], Operations: ['95-8=87']
Exploring Operation: 62-38=24, Resulting Numbers: [87, 24]
Generated Node #0,0,0: 79:[87, 24] Operation: 62-38=24
Exploring Operation: 38+62=100, Resulting Numbers: [87, 100]
Generated Node #0,0,1: 79:[87, 100] Operation: 38+62=100
Exploring Operation: 87-38=49, Resulting Numbers: [62, 49]
Generated Node #0,0,2: 79:[62, 49] Operation: 87-38=49
Moving to Node #0,1
Current State: 79:[95, 38, 70], Operations: ['8+62=70']
Exploring Operation: 95-38=57, Resulting Numbers: [70, 57]
Generated Node #0,1,0: 79:[70, 57] Operation: 95-38=57
Exploring Operation: 95+38=133, Resulting Numbers: [70, 133]
Generated Node #0,1,1: 79:[70, 133] Operation: 95+38=133
Exploring Operation: 38+70=108, Resulting Numbers: [95, 108]
Generated Node #0,1,2: 79:[95, 108] Operation: 38+70=108
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[70, 57], Operations: ['8+62=70', '95-38=57']
Exploring Operation: 70-57=13, Resulting Numbers: [13]
13,79 unequal: No Solution
Exploring Operation: 70*57=3990, Resulting Numbers: [3990]
3990,79 unequal: No Solution
Exploring Operation: 70+57=127, Resulting Numbers: [127]
127,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[95, 108], Operations: ['8+62=70', '38+70=108']
Exploring Operation: 108-95=13, Resulting Numbers: [13]
13,79 unequal: No Solution
Exploring Operation: 95+108=203, Resulting Numbers: [203]
203,79 unequal: No Solution
Exploring Operation: 95*108=10260, Resulting Numbers: [10260]
10260,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[70, 133], Operations: ['8+62=70', '95+38=133']
Exploring Operation: 70*133=9310, Resulting Numbers: [9310]
9310,79 unequal: No Solution
Exploring Operation: 70+133=203, Resulting Numbers: [203]
203,79 unequal: No Solution
Exploring Operation: 133-70=63, Resulting Numbers: [63]
63,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 79:[95, 62, 46], Operations: ['38+8=46']
Exploring Operation: 62+46=108, Resulting Numbers: [95, 108]
Generated Node #0,2,0: 79:[95, 108] Operation: 62+46=108
Exploring Operation: 95-46=49, Resulting Numbers: [62, 49]
Generated Node #0,2,1: 79:[62, 49] Operation: 95-46=49
Exploring Operation: 95-62=33, Resulting Numbers: [46, 33]
Generated Node #0,2,2: 79:[46, 33] Operation: 95-62=33
Moving to Node #0,0,1
Current State: 79:[87, 100], Operations: ['95-8=87', '38+62=100']
Exploring Operation: 100-87=13, Resulting Numbers: [13]
13,79 unequal: No Solution
Exploring Operation: 87*100=8700, Resulting Numbers: [8700]
8700,79 unequal: No Solution
Exploring Operation: 87+100=187, Resulting Numbers: [187]
187,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[95, 108], Operations: ['38+8=46', '62+46=108']
Exploring Operation: 95*108=10260, Resulting Numbers: [10260]
10260,79 unequal: No Solution
Exploring Operation: 108-95=13, Resulting Numbers: [13]
13,79 unequal: No Solution
Exploring Operation: 95+108=203, Resulting Numbers: [203]
203,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[62, 49], Operations: ['38+8=46', '95-46=49']
Exploring Operation: 62+49=111, Resulting Numbers: [111]
111,79 unequal: No Solution
Exploring Operation: 62*49=3038, Resulting Numbers: [3038]
3038,79 unequal: No Solution
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[62, 49], Operations: ['95-8=87', '87-38=49']
Exploring Operation: 62+49=111, Resulting Numbers: [111]
111,79 unequal: No Solution
Exploring Operation: 62*49=3038, Resulting Numbers: [3038]
3038,79 unequal: No Solution
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[87, 24], Operations: ['95-8=87', '62-38=24']
Exploring Operation: 87+24=111, Resulting Numbers: [111]
111,79 unequal: No Solution
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Exploring Operation: 87*24=2088, Resulting Numbers: [2088]
2088,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[46, 33], Operations: ['38+8=46', '95-62=33']
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[95, 38, 8, 62], Operations: []
Exploring Operation: 38+8=46, Resulting Numbers: [95, 62, 46]
Generated Node #0,2: 79:[95, 62, 46] Operation: 38+8=46
Moving to Node #0,2
Current State: 79:[95, 62, 46], Operations: ['38+8=46']
Exploring Operation: 95-62=33, Resulting Numbers: [46, 33]
Generated Node #0,2,2: 79:[46, 33] Operation: 95-62=33
Moving to Node #0,2,2
Current State: 79:[46, 33], Operations: ['38+8=46', '95-62=33']
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 0.96441 |
hs_3
|
sum_heuristic
|
[
48,
63,
51,
81
] | 54 |
[
"51-48=3",
"81-63=18",
"3*18=54"
] |
Current State: 54:[48, 63, 51, 81], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [63, 81, 3]
Generated Node #2: [63, 81, 3] from Operation: 51-48=3
Current State: 54:[63, 81, 3], Operations: ['51-48=3']
Exploring Operation: 81-63=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 81-63=18
Current State: 54:[3, 18], Operations: ['51-48=3', '81-63=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[48, 63, 51, 81], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [63, 51, 33]
Generated Node #0,0: 54:[63, 51, 33] Operation: 81-48=33
Exploring Operation: 81-63=18, Resulting Numbers: [48, 51, 18]
Generated Node #0,1: 54:[48, 51, 18] Operation: 81-63=18
Moving to Node #0,1
Current State: 54:[48, 51, 18], Operations: ['81-63=18']
Exploring Operation: 48-18=30, Resulting Numbers: [51, 30]
Generated Node #0,1,0: 54:[51, 30] Operation: 48-18=30
Exploring Operation: 51-48=3, Resulting Numbers: [18, 3]
Generated Node #0,1,1: 54:[18, 3] Operation: 51-48=3
Moving to Node #0,0
Current State: 54:[63, 51, 33], Operations: ['81-48=33']
Exploring Operation: 63-33=30, Resulting Numbers: [51, 30]
Generated Node #0,0,0: 54:[51, 30] Operation: 63-33=30
Exploring Operation: 63-51=12, Resulting Numbers: [33, 12]
Generated Node #0,0,1: 54:[33, 12] Operation: 63-51=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[51, 30], Operations: ['81-48=33', '63-33=30']
Exploring Operation: 51+30=81, Resulting Numbers: [81]
81,54 unequal: No Solution
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[33, 12], Operations: ['81-48=33', '63-51=12']
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,54 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 54:[18, 3], Operations: ['81-63=18', '51-48=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[48, 63, 51, 81], Operations: []
Exploring Operation: 81-63=18, Resulting Numbers: [48, 51, 18]
Generated Node #0,1: 54:[48, 51, 18] Operation: 81-63=18
Moving to Node #0,1
Current State: 54:[48, 51, 18], Operations: ['81-63=18']
Exploring Operation: 51-48=3, Resulting Numbers: [18, 3]
Generated Node #0,1,1: 54:[18, 3] Operation: 51-48=3
Moving to Node #0,1,1
Current State: 54:[18, 3], Operations: ['81-63=18', '51-48=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.986111 |
hs_2
|
sum_heuristic
|
[
69,
18,
92,
59
] | 64 |
[
"69+18=87",
"92+59=151",
"151-87=64"
] |
Current State: 64:[69, 18, 92, 59], Operations: []
Exploring Operation: 69+18=87, Resulting Numbers: [92, 59, 87]
Generated Node #2: [92, 59, 87] from Operation: 69+18=87
Current State: 64:[92, 59, 87], Operations: ['69+18=87']
Exploring Operation: 92+59=151, Resulting Numbers: [87, 151]
Generated Node #3: [87, 151] from Operation: 92+59=151
Current State: 64:[87, 151], Operations: ['69+18=87', '92+59=151']
Exploring Operation: 151-87=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
Current State: 64:[69, 18, 92, 59], Operations: []
Exploring Operation: 92-69=23, Resulting Numbers: [18, 59, 23]
Generated Node #0,0: 64:[18, 59, 23] Operation: 92-69=23
Exploring Operation: 92-59=33, Resulting Numbers: [69, 18, 33]
Generated Node #0,1: 64:[69, 18, 33] Operation: 92-59=33
Moving to Node #0,1
Current State: 64:[69, 18, 33], Operations: ['92-59=33']
Exploring Operation: 33-18=15, Resulting Numbers: [69, 15]
Generated Node #0,1,0: 64:[69, 15] Operation: 33-18=15
Exploring Operation: 69-33=36, Resulting Numbers: [18, 36]
Generated Node #0,1,1: 64:[18, 36] Operation: 69-33=36
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[69, 15], Operations: ['92-59=33', '33-18=15']
Exploring Operation: 69-15=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 69+15=84, Resulting Numbers: [84]
84,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[18, 36], Operations: ['92-59=33', '69-33=36']
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 64:[18, 59, 23], Operations: ['92-69=23']
Exploring Operation: 23-18=5, Resulting Numbers: [59, 5]
Generated Node #0,0,0: 64:[59, 5] Operation: 23-18=5
Exploring Operation: 59-23=36, Resulting Numbers: [18, 36]
Generated Node #0,0,1: 64:[18, 36] Operation: 59-23=36
Moving to Node #0,0,0
Current State: 64:[59, 5], Operations: ['92-69=23', '23-18=5']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[69, 18, 92, 59], Operations: []
Exploring Operation: 92-69=23, Resulting Numbers: [18, 59, 23]
Generated Node #0,0: 64:[18, 59, 23] Operation: 92-69=23
Moving to Node #0,0
Current State: 64:[18, 59, 23], Operations: ['92-69=23']
Exploring Operation: 23-18=5, Resulting Numbers: [59, 5]
Generated Node #0,0,0: 64:[59, 5] Operation: 23-18=5
Moving to Node #0,0,0
Current State: 64:[59, 5], Operations: ['92-69=23', '23-18=5']
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.986111 |
hs_2
|
sum_heuristic
|
[
89,
13,
75,
70
] | 69 |
[
"89-13=76",
"75+70=145",
"145-76=69"
] |
Current State: 69:[89, 13, 75, 70], Operations: []
Exploring Operation: 89-13=76, Resulting Numbers: [75, 70, 76]
Generated Node #2: [75, 70, 76] from Operation: 89-13=76
Current State: 69:[75, 70, 76], Operations: ['89-13=76']
Exploring Operation: 75+70=145, Resulting Numbers: [76, 145]
Generated Node #3: [76, 145] from Operation: 75+70=145
Current State: 69:[76, 145], Operations: ['89-13=76', '75+70=145']
Exploring Operation: 145-76=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[89, 13, 75, 70], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [13, 75, 19]
Generated Node #0,0: 69:[13, 75, 19] Operation: 89-70=19
Exploring Operation: 89-13=76, Resulting Numbers: [75, 70, 76]
Generated Node #0,1: 69:[75, 70, 76] Operation: 89-13=76
Exploring Operation: 89-75=14, Resulting Numbers: [13, 70, 14]
Generated Node #0,2: 69:[13, 70, 14] Operation: 89-75=14
Moving to Node #0,1
Current State: 69:[75, 70, 76], Operations: ['89-13=76']
Exploring Operation: 76-75=1, Resulting Numbers: [70, 1]
Generated Node #0,1,0: 69:[70, 1] Operation: 76-75=1
Exploring Operation: 76-70=6, Resulting Numbers: [75, 6]
Generated Node #0,1,1: 69:[75, 6] Operation: 76-70=6
Exploring Operation: 75-70=5, Resulting Numbers: [76, 5]
Generated Node #0,1,2: 69:[76, 5] Operation: 75-70=5
Moving to Node #0,0
Current State: 69:[13, 75, 19], Operations: ['89-70=19']
Exploring Operation: 19-13=6, Resulting Numbers: [75, 6]
Generated Node #0,0,0: 69:[75, 6] Operation: 19-13=6
Exploring Operation: 75-13=62, Resulting Numbers: [19, 62]
Generated Node #0,0,1: 69:[19, 62] Operation: 75-13=62
Exploring Operation: 13+19=32, Resulting Numbers: [75, 32]
Generated Node #0,0,2: 69:[75, 32] Operation: 13+19=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[75, 6], Operations: ['89-70=19', '19-13=6']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[89, 13, 75, 70], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [13, 75, 19]
Generated Node #0,0: 69:[13, 75, 19] Operation: 89-70=19
Moving to Node #0,0
Current State: 69:[13, 75, 19], Operations: ['89-70=19']
Exploring Operation: 19-13=6, Resulting Numbers: [75, 6]
Generated Node #0,0,0: 69:[75, 6] Operation: 19-13=6
Moving to Node #0,0,0
Current State: 69:[75, 6], Operations: ['89-70=19', '19-13=6']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 |
hs_3
|
mult_heuristic
|
[
65,
47,
62,
47
] | 62 |
[
"47-47=0",
"65*0=0",
"62+0=62"
] |
Current State: 62:[65, 47, 62, 47], Operations: []
Exploring Operation: 47-47=0, Resulting Numbers: [65, 62, 0]
Generated Node #2: [65, 62, 0] from Operation: 47-47=0
Current State: 62:[65, 62, 0], Operations: ['47-47=0']
Exploring Operation: 65*0=0, Resulting Numbers: [62, 0]
Generated Node #3: [62, 0] from Operation: 65*0=0
Current State: 62:[62, 0], Operations: ['47-47=0', '65*0=0']
Exploring Operation: 62+0=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
Current State: 62:[65, 47, 62, 47], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [47, 47, 3]
Generated Node #0,0: 62:[47, 47, 3] Operation: 65-62=3
Exploring Operation: 47/47=1, Resulting Numbers: [65, 62, 1]
Generated Node #0,1: 62:[65, 62, 1] Operation: 47/47=1
Exploring Operation: 65-47=18, Resulting Numbers: [62, 47, 18]
Generated Node #0,2: 62:[62, 47, 18] Operation: 65-47=18
Exploring Operation: 65-47=18, Resulting Numbers: [47, 62, 18]
Generated Node #0,3: 62:[47, 62, 18] Operation: 65-47=18
Exploring Operation: 47-47=0, Resulting Numbers: [65, 62, 0]
Generated Node #0,4: 62:[65, 62, 0] Operation: 47-47=0
Moving to Node #0,1
Current State: 62:[65, 62, 1], Operations: ['47/47=1']
Exploring Operation: 65*1=65, Resulting Numbers: [62, 65]
Generated Node #0,1,0: 62:[62, 65] Operation: 65*1=65
Exploring Operation: 65-1=64, Resulting Numbers: [62, 64]
Generated Node #0,1,1: 62:[62, 64] Operation: 65-1=64
Exploring Operation: 65/1=65, Resulting Numbers: [62, 65]
Generated Node #0,1,2: 62:[62, 65] Operation: 65/1=65
Exploring Operation: 62*1=62, Resulting Numbers: [65, 62]
Generated Node #0,1,3: 62:[65, 62] Operation: 62*1=62
Exploring Operation: 65-62=3, Resulting Numbers: [1, 3]
Generated Node #0,1,4: 62:[1, 3] Operation: 65-62=3
Moving to Node #0,4
Current State: 62:[65, 62, 0], Operations: ['47-47=0']
Exploring Operation: 62+0=62, Resulting Numbers: [65, 62]
Generated Node #0,4,0: 62:[65, 62] Operation: 62+0=62
Exploring Operation: 65-62=3, Resulting Numbers: [0, 3]
Generated Node #0,4,1: 62:[0, 3] Operation: 65-62=3
Exploring Operation: 65+0=65, Resulting Numbers: [62, 65]
Generated Node #0,4,2: 62:[62, 65] Operation: 65+0=65
Exploring Operation: 65*0=0, Resulting Numbers: [62, 0]
Generated Node #0,4,3: 62:[62, 0] Operation: 65*0=0
Exploring Operation: 65-0=65, Resulting Numbers: [62, 65]
Generated Node #0,4,4: 62:[62, 65] Operation: 65-0=65
Moving to Node #0,2
Current State: 62:[62, 47, 18], Operations: ['65-47=18']
Exploring Operation: 62-18=44, Resulting Numbers: [47, 44]
Generated Node #0,2,0: 62:[47, 44] Operation: 62-18=44
Exploring Operation: 62-47=15, Resulting Numbers: [18, 15]
Generated Node #0,2,1: 62:[18, 15] Operation: 62-47=15
Exploring Operation: 47+18=65, Resulting Numbers: [62, 65]
Generated Node #0,2,2: 62:[62, 65] Operation: 47+18=65
Exploring Operation: 47-18=29, Resulting Numbers: [62, 29]
Generated Node #0,2,3: 62:[62, 29] Operation: 47-18=29
Exploring Operation: 62+18=80, Resulting Numbers: [47, 80]
Generated Node #0,2,4: 62:[47, 80] Operation: 62+18=80
Moving to Node #0,3
Current State: 62:[47, 62, 18], Operations: ['65-47=18']
Exploring Operation: 62+18=80, Resulting Numbers: [47, 80]
Generated Node #0,3,0: 62:[47, 80] Operation: 62+18=80
Exploring Operation: 62-18=44, Resulting Numbers: [47, 44]
Generated Node #0,3,1: 62:[47, 44] Operation: 62-18=44
Exploring Operation: 47+18=65, Resulting Numbers: [62, 65]
Generated Node #0,3,2: 62:[62, 65] Operation: 47+18=65
Exploring Operation: 47-18=29, Resulting Numbers: [62, 29]
Generated Node #0,3,3: 62:[62, 29] Operation: 47-18=29
Exploring Operation: 62-47=15, Resulting Numbers: [18, 15]
Generated Node #0,3,4: 62:[18, 15] Operation: 62-47=15
Moving to Node #0,0
Current State: 62:[47, 47, 3], Operations: ['65-62=3']
Exploring Operation: 47+3=50, Resulting Numbers: [47, 50]
Generated Node #0,0,0: 62:[47, 50] Operation: 47+3=50
Exploring Operation: 47/47=1, Resulting Numbers: [3, 1]
Generated Node #0,0,1: 62:[3, 1] Operation: 47/47=1
Exploring Operation: 47+3=50, Resulting Numbers: [47, 50]
Generated Node #0,0,2: 62:[47, 50] Operation: 47+3=50
Exploring Operation: 47-47=0, Resulting Numbers: [3, 0]
Generated Node #0,0,3: 62:[3, 0] Operation: 47-47=0
Exploring Operation: 47-3=44, Resulting Numbers: [47, 44]
Generated Node #0,0,4: 62:[47, 44] Operation: 47-3=44
Moving to Node #0,1,1
Current State: 62:[62, 64], Operations: ['47/47=1', '65-1=64']
Exploring Operation: 62*64=3968, Resulting Numbers: [3968]
3968,62 unequal: No Solution
Exploring Operation: 62+64=126, Resulting Numbers: [126]
126,62 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Moving to Node #0,4,3
Current State: 62:[62, 0], Operations: ['47-47=0', '65*0=0']
Exploring Operation: 62+0=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[65, 47, 62, 47], Operations: []
Exploring Operation: 47-47=0, Resulting Numbers: [65, 62, 0]
Generated Node #0,4: 62:[65, 62, 0] Operation: 47-47=0
Moving to Node #0,4
Current State: 62:[65, 62, 0], Operations: ['47-47=0']
Exploring Operation: 65*0=0, Resulting Numbers: [62, 0]
Generated Node #0,4,3: 62:[62, 0] Operation: 65*0=0
Moving to Node #0,4,3
Current State: 62:[62, 0], Operations: ['47-47=0', '65*0=0']
Exploring Operation: 62+0=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.967014 |
hs_5
|
mult_heuristic
|
[
38,
67,
38,
22
] | 89 |
[
"38+67=105",
"38-22=16",
"105-16=89"
] |
Current State: 89:[38, 67, 38, 22], Operations: []
Exploring Operation: 38+67=105, Resulting Numbers: [22, 105]
Generated Node #2: [22, 105] from Operation: 38+67=105
Current State: 89:[22, 105], Operations: ['38+67=105']
Exploring Operation: 38-22=16, Resulting Numbers: [105, 16]
Generated Node #3: [105, 16] from Operation: 38-22=16
Current State: 89:[105, 16], Operations: ['38+67=105', '38-22=16']
Exploring Operation: 105-16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
Current State: 89:[38, 67, 38, 22], Operations: []
Exploring Operation: 38+22=60, Resulting Numbers: [67, 38, 60]
Generated Node #0,0: 89:[67, 38, 60] Operation: 38+22=60
Exploring Operation: 38+38=76, Resulting Numbers: [67, 22, 76]
Generated Node #0,1: 89:[67, 22, 76] Operation: 38+38=76
Exploring Operation: 67+22=89, Resulting Numbers: [38, 38, 89]
Generated Node #0,2: 89:[38, 38, 89] Operation: 67+22=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[67, 38, 60], Operations: ['38+22=60']
Exploring Operation: 67-38=29, Resulting Numbers: [60, 29]
Generated Node #0,0,0: 89:[60, 29] Operation: 67-38=29
Exploring Operation: 67+38=105, Resulting Numbers: [60, 105]
Generated Node #0,0,1: 89:[60, 105] Operation: 67+38=105
Exploring Operation: 38+60=98, Resulting Numbers: [67, 98]
Generated Node #0,0,2: 89:[67, 98] Operation: 38+60=98
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 89:[67, 98], Operations: ['38+22=60', '38+60=98']
Exploring Operation: 67+98=165, Resulting Numbers: [165]
165,89 unequal: No Solution
Exploring Operation: 98-67=31, Resulting Numbers: [31]
31,89 unequal: No Solution
Exploring Operation: 67*98=6566, Resulting Numbers: [6566]
6566,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[60, 105], Operations: ['38+22=60', '67+38=105']
Exploring Operation: 60*105=6300, Resulting Numbers: [6300]
6300,89 unequal: No Solution
Exploring Operation: 60+105=165, Resulting Numbers: [165]
165,89 unequal: No Solution
Exploring Operation: 105-60=45, Resulting Numbers: [45]
45,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[60, 29], Operations: ['38+22=60', '67-38=29']
Exploring Operation: 60*29=1740, Resulting Numbers: [1740]
1740,89 unequal: No Solution
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,89 unequal: No Solution
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[38, 67, 38, 22], Operations: []
Exploring Operation: 38+22=60, Resulting Numbers: [67, 38, 60]
Generated Node #0,0: 89:[67, 38, 60] Operation: 38+22=60
Moving to Node #0,0
Current State: 89:[67, 38, 60], Operations: ['38+22=60']
Exploring Operation: 67-38=29, Resulting Numbers: [60, 29]
Generated Node #0,0,0: 89:[60, 29] Operation: 67-38=29
Moving to Node #0,0,0
Current State: 89:[60, 29], Operations: ['38+22=60', '67-38=29']
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 |
hs_3
|
mult_heuristic
|
[
1,
58,
11,
49
] | 97 |
[
"1+58=59",
"49-11=38",
"59+38=97"
] |
Current State: 97:[1, 58, 11, 49], Operations: []
Exploring Operation: 1+58=59, Resulting Numbers: [11, 49, 59]
Generated Node #2: [11, 49, 59] from Operation: 1+58=59
Current State: 97:[11, 49, 59], Operations: ['1+58=59']
Exploring Operation: 49-11=38, Resulting Numbers: [59, 38]
Generated Node #3: [59, 38] from Operation: 49-11=38
Current State: 97:[59, 38], Operations: ['1+58=59', '49-11=38']
Exploring Operation: 59+38=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[1, 58, 11, 49], Operations: []
Exploring Operation: 1+11=12, Resulting Numbers: [58, 49, 12]
Generated Node #0,0: 97:[58, 49, 12] Operation: 1+11=12
Exploring Operation: 1+58=59, Resulting Numbers: [11, 49, 59]
Generated Node #0,1: 97:[11, 49, 59] Operation: 1+58=59
Moving to Node #0,0
Current State: 97:[58, 49, 12], Operations: ['1+11=12']
Exploring Operation: 49+12=61, Resulting Numbers: [58, 61]
Generated Node #0,0,0: 97:[58, 61] Operation: 49+12=61
Exploring Operation: 58+12=70, Resulting Numbers: [49, 70]
Generated Node #0,0,1: 97:[49, 70] Operation: 58+12=70
Moving to Node #0,1
Current State: 97:[11, 49, 59], Operations: ['1+58=59']
Exploring Operation: 11+59=70, Resulting Numbers: [49, 70]
Generated Node #0,1,0: 97:[49, 70] Operation: 11+59=70
Exploring Operation: 11+49=60, Resulting Numbers: [59, 60]
Generated Node #0,1,1: 97:[59, 60] Operation: 11+49=60
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[49, 70], Operations: ['1+58=59', '11+59=70']
Exploring Operation: 49+70=119, Resulting Numbers: [119]
119,97 unequal: No Solution
Exploring Operation: 70-49=21, Resulting Numbers: [21]
21,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[59, 60], Operations: ['1+58=59', '11+49=60']
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,97 unequal: No Solution
Exploring Operation: 59+60=119, Resulting Numbers: [119]
119,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 97:[58, 61], Operations: ['1+11=12', '49+12=61']
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Exploring Operation: 58+61=119, Resulting Numbers: [119]
119,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[49, 70], Operations: ['1+11=12', '58+12=70']
Exploring Operation: 49+70=119, Resulting Numbers: [119]
119,97 unequal: No Solution
Exploring Operation: 70-49=21, Resulting Numbers: [21]
21,97 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
49,
88,
16,
78
] | 18 |
[
"88-49=39",
"78/39=2",
"16+2=18"
] |
Current State: 18:[49, 88, 16, 78], Operations: []
Exploring Operation: 88-49=39, Resulting Numbers: [16, 78, 39]
Generated Node #2: [16, 78, 39] from Operation: 88-49=39
Current State: 18:[16, 78, 39], Operations: ['88-49=39']
Exploring Operation: 78/39=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 78/39=2
Current State: 18:[16, 2], Operations: ['88-49=39', '78/39=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
Current State: 18:[49, 88, 16, 78], Operations: []
Exploring Operation: 88-49=39, Resulting Numbers: [16, 78, 39]
Generated Node #0,0: 18:[16, 78, 39] Operation: 88-49=39
Exploring Operation: 88-78=10, Resulting Numbers: [49, 16, 10]
Generated Node #0,1: 18:[49, 16, 10] Operation: 88-78=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[49, 16, 10], Operations: ['88-78=10']
Exploring Operation: 49-16=33, Resulting Numbers: [10, 33]
Generated Node #0,1,0: 18:[10, 33] Operation: 49-16=33
Exploring Operation: 49-10=39, Resulting Numbers: [16, 39]
Generated Node #0,1,1: 18:[16, 39] Operation: 49-10=39
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 18:[10, 33], Operations: ['88-78=10', '49-16=33']
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,18 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 18:[16, 39], Operations: ['88-78=10', '49-10=39']
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,18 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[16, 78, 39], Operations: ['88-49=39']
Exploring Operation: 78/39=2, Resulting Numbers: [16, 2]
Generated Node #0,0,0: 18:[16, 2] Operation: 78/39=2
Exploring Operation: 78-39=39, Resulting Numbers: [16, 39]
Generated Node #0,0,1: 18:[16, 39] Operation: 78-39=39
Moving to Node #0,0,0
Current State: 18:[16, 2], Operations: ['88-49=39', '78/39=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[49, 88, 16, 78], Operations: []
Exploring Operation: 88-49=39, Resulting Numbers: [16, 78, 39]
Generated Node #0,0: 18:[16, 78, 39] Operation: 88-49=39
Moving to Node #0,0
Current State: 18:[16, 78, 39], Operations: ['88-49=39']
Exploring Operation: 78/39=2, Resulting Numbers: [16, 2]
Generated Node #0,0,0: 18:[16, 2] Operation: 78/39=2
Moving to Node #0,0,0
Current State: 18:[16, 2], Operations: ['88-49=39', '78/39=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_2
|
sum_heuristic
|
[
87,
21,
79,
83
] | 54 |
[
"87+21=108",
"79+83=162",
"162-108=54"
] |
Current State: 54:[87, 21, 79, 83], Operations: []
Exploring Operation: 87+21=108, Resulting Numbers: [79, 83, 108]
Generated Node #2: [79, 83, 108] from Operation: 87+21=108
Current State: 54:[79, 83, 108], Operations: ['87+21=108']
Exploring Operation: 79+83=162, Resulting Numbers: [108, 162]
Generated Node #3: [108, 162] from Operation: 79+83=162
Current State: 54:[108, 162], Operations: ['87+21=108', '79+83=162']
Exploring Operation: 162-108=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[87, 21, 79, 83], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [21, 83, 8]
Generated Node #0,0: 54:[21, 83, 8] Operation: 87-79=8
Exploring Operation: 87-83=4, Resulting Numbers: [21, 79, 4]
Generated Node #0,1: 54:[21, 79, 4] Operation: 87-83=4
Exploring Operation: 83-79=4, Resulting Numbers: [87, 21, 4]
Generated Node #0,2: 54:[87, 21, 4] Operation: 83-79=4
Exploring Operation: 87-21=66, Resulting Numbers: [79, 83, 66]
Generated Node #0,3: 54:[79, 83, 66] Operation: 87-21=66
Moving to Node #0,1
Current State: 54:[21, 79, 4], Operations: ['87-83=4']
Exploring Operation: 21+4=25, Resulting Numbers: [79, 25]
Generated Node #0,1,0: 54:[79, 25] Operation: 21+4=25
Exploring Operation: 79-4=75, Resulting Numbers: [21, 75]
Generated Node #0,1,1: 54:[21, 75] Operation: 79-4=75
Exploring Operation: 21-4=17, Resulting Numbers: [79, 17]
Generated Node #0,1,2: 54:[79, 17] Operation: 21-4=17
Exploring Operation: 79-21=58, Resulting Numbers: [4, 58]
Generated Node #0,1,3: 54:[4, 58] Operation: 79-21=58
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 54:[4, 58], Operations: ['87-83=4', '79-21=58']
Exploring Operation: 4*58=232, Resulting Numbers: [232]
232,54 unequal: No Solution
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,54 unequal: No Solution
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[87, 21, 79, 83], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [21, 79, 4]
Generated Node #0,1: 54:[21, 79, 4] Operation: 87-83=4
Moving to Node #0,1
Current State: 54:[21, 79, 4], Operations: ['87-83=4']
Exploring Operation: 79-21=58, Resulting Numbers: [4, 58]
Generated Node #0,1,3: 54:[4, 58] Operation: 79-21=58
Moving to Node #0,1,3
Current State: 54:[4, 58], Operations: ['87-83=4', '79-21=58']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_4
|
sum_heuristic
|
[
31,
80,
18,
73
] | 95 |
[
"80-73=7",
"18*7=126",
"126-31=95"
] |
Current State: 95:[31, 80, 18, 73], Operations: []
Exploring Operation: 80-73=7, Resulting Numbers: [31, 18, 7]
Generated Node #2: [31, 18, 7] from Operation: 80-73=7
Current State: 95:[31, 18, 7], Operations: ['80-73=7']
Exploring Operation: 18*7=126, Resulting Numbers: [31, 126]
Generated Node #3: [31, 126] from Operation: 18*7=126
Current State: 95:[31, 126], Operations: ['80-73=7', '18*7=126']
Exploring Operation: 126-31=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[31, 80, 18, 73], Operations: []
Exploring Operation: 80+18=98, Resulting Numbers: [31, 73, 98]
Generated Node #0,0: 95:[31, 73, 98] Operation: 80+18=98
Exploring Operation: 31+73=104, Resulting Numbers: [80, 18, 104]
Generated Node #0,1: 95:[80, 18, 104] Operation: 31+73=104
Exploring Operation: 18+73=91, Resulting Numbers: [31, 80, 91]
Generated Node #0,2: 95:[31, 80, 91] Operation: 18+73=91
Exploring Operation: 31+80=111, Resulting Numbers: [18, 73, 111]
Generated Node #0,3: 95:[18, 73, 111] Operation: 31+80=111
Exploring Operation: 80-73=7, Resulting Numbers: [31, 18, 7]
Generated Node #0,4: 95:[31, 18, 7] Operation: 80-73=7
Moving to Node #0,4
Current State: 95:[31, 18, 7], Operations: ['80-73=7']
Exploring Operation: 31-7=24, Resulting Numbers: [18, 24]
Generated Node #0,4,0: 95:[18, 24] Operation: 31-7=24
Exploring Operation: 18+7=25, Resulting Numbers: [31, 25]
Generated Node #0,4,1: 95:[31, 25] Operation: 18+7=25
Exploring Operation: 18-7=11, Resulting Numbers: [31, 11]
Generated Node #0,4,2: 95:[31, 11] Operation: 18-7=11
Exploring Operation: 31-18=13, Resulting Numbers: [7, 13]
Generated Node #0,4,3: 95:[7, 13] Operation: 31-18=13
Exploring Operation: 31+7=38, Resulting Numbers: [18, 38]
Generated Node #0,4,4: 95:[18, 38] Operation: 31+7=38
Moving to Node #0,1
Current State: 95:[80, 18, 104], Operations: ['31+73=104']
Exploring Operation: 104-18=86, Resulting Numbers: [80, 86]
Generated Node #0,1,0: 95:[80, 86] Operation: 104-18=86
Exploring Operation: 80-18=62, Resulting Numbers: [104, 62]
Generated Node #0,1,1: 95:[104, 62] Operation: 80-18=62
Exploring Operation: 18+104=122, Resulting Numbers: [80, 122]
Generated Node #0,1,2: 95:[80, 122] Operation: 18+104=122
Exploring Operation: 80+18=98, Resulting Numbers: [104, 98]
Generated Node #0,1,3: 95:[104, 98] Operation: 80+18=98
Exploring Operation: 104-80=24, Resulting Numbers: [18, 24]
Generated Node #0,1,4: 95:[18, 24] Operation: 104-80=24
Moving to Node #0,2
Current State: 95:[31, 80, 91], Operations: ['18+73=91']
Exploring Operation: 31+80=111, Resulting Numbers: [91, 111]
Generated Node #0,2,0: 95:[91, 111] Operation: 31+80=111
Exploring Operation: 31+91=122, Resulting Numbers: [80, 122]
Generated Node #0,2,1: 95:[80, 122] Operation: 31+91=122
Exploring Operation: 91-80=11, Resulting Numbers: [31, 11]
Generated Node #0,2,2: 95:[31, 11] Operation: 91-80=11
Exploring Operation: 91-31=60, Resulting Numbers: [80, 60]
Generated Node #0,2,3: 95:[80, 60] Operation: 91-31=60
Exploring Operation: 80-31=49, Resulting Numbers: [91, 49]
Generated Node #0,2,4: 95:[91, 49] Operation: 80-31=49
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[31, 11], Operations: ['18+73=91', '91-80=11']
Exploring Operation: 31*11=341, Resulting Numbers: [341]
341,95 unequal: No Solution
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[91, 111], Operations: ['18+73=91', '31+80=111']
Exploring Operation: 91*111=10101, Resulting Numbers: [10101]
10101,95 unequal: No Solution
Exploring Operation: 91+111=202, Resulting Numbers: [202]
202,95 unequal: No Solution
Exploring Operation: 111-91=20, Resulting Numbers: [20]
20,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 95:[91, 49], Operations: ['18+73=91', '80-31=49']
Exploring Operation: 91*49=4459, Resulting Numbers: [4459]
4459,95 unequal: No Solution
Exploring Operation: 91-49=42, Resulting Numbers: [42]
42,95 unequal: No Solution
Exploring Operation: 91+49=140, Resulting Numbers: [140]
140,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[80, 122], Operations: ['18+73=91', '31+91=122']
Exploring Operation: 80+122=202, Resulting Numbers: [202]
202,95 unequal: No Solution
Exploring Operation: 80*122=9760, Resulting Numbers: [9760]
9760,95 unequal: No Solution
Exploring Operation: 122-80=42, Resulting Numbers: [42]
42,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 95:[80, 60], Operations: ['18+73=91', '91-31=60']
Exploring Operation: 80+60=140, Resulting Numbers: [140]
140,95 unequal: No Solution
Exploring Operation: 80*60=4800, Resulting Numbers: [4800]
4800,95 unequal: No Solution
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 95:[31, 73, 98], Operations: ['80+18=98']
Exploring Operation: 31+98=129, Resulting Numbers: [73, 129]
Generated Node #0,0,0: 95:[73, 129] Operation: 31+98=129
Exploring Operation: 98-31=67, Resulting Numbers: [73, 67]
Generated Node #0,0,1: 95:[73, 67] Operation: 98-31=67
Exploring Operation: 98-73=25, Resulting Numbers: [31, 25]
Generated Node #0,0,2: 95:[31, 25] Operation: 98-73=25
Exploring Operation: 31+73=104, Resulting Numbers: [98, 104]
Generated Node #0,0,3: 95:[98, 104] Operation: 31+73=104
Exploring Operation: 73-31=42, Resulting Numbers: [98, 42]
Generated Node #0,0,4: 95:[98, 42] Operation: 73-31=42
Moving to Node #0,3
Current State: 95:[18, 73, 111], Operations: ['31+80=111']
Exploring Operation: 73-18=55, Resulting Numbers: [111, 55]
Generated Node #0,3,0: 95:[111, 55] Operation: 73-18=55
Exploring Operation: 18+73=91, Resulting Numbers: [111, 91]
Generated Node #0,3,1: 95:[111, 91] Operation: 18+73=91
Exploring Operation: 111-73=38, Resulting Numbers: [18, 38]
Generated Node #0,3,2: 95:[18, 38] Operation: 111-73=38
Exploring Operation: 111-18=93, Resulting Numbers: [73, 93]
Generated Node #0,3,3: 95:[73, 93] Operation: 111-18=93
Exploring Operation: 18+111=129, Resulting Numbers: [73, 129]
Generated Node #0,3,4: 95:[73, 129] Operation: 18+111=129
Moving to Node #0,4,0
Current State: 95:[18, 24], Operations: ['80-73=7', '31-7=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,95 unequal: No Solution
Exploring Operation: 18*24=432, Resulting Numbers: [432]
432,95 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Moving to Node #0,1,4
Current State: 95:[18, 24], Operations: ['31+73=104', '104-80=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,95 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 18*24=432, Resulting Numbers: [432]
432,95 unequal: No Solution
Moving to Node #0,4,3
Current State: 95:[7, 13], Operations: ['80-73=7', '31-18=13']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Moving to Node #0,1,3
Current State: 95:[104, 98], Operations: ['31+73=104', '80+18=98']
Exploring Operation: 104-98=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 104+98=202, Resulting Numbers: [202]
202,95 unequal: No Solution
Exploring Operation: 104*98=10192, Resulting Numbers: [10192]
10192,95 unequal: No Solution
Moving to Node #0,0,3
Current State: 95:[98, 104], Operations: ['80+18=98', '31+73=104']
Exploring Operation: 104-98=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 98+104=202, Resulting Numbers: [202]
202,95 unequal: No Solution
Exploring Operation: 98*104=10192, Resulting Numbers: [10192]
10192,95 unequal: No Solution
Moving to Node #0,4,1
Current State: 95:[31, 25], Operations: ['80-73=7', '18+7=25']
Exploring Operation: 31+25=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 31*25=775, Resulting Numbers: [775]
775,95 unequal: No Solution
Exploring Operation: 31-25=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[31, 25], Operations: ['80+18=98', '98-73=25']
Exploring Operation: 31+25=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 31-25=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 31*25=775, Resulting Numbers: [775]
775,95 unequal: No Solution
Moving to Node #0,4,2
Current State: 95:[31, 11], Operations: ['80-73=7', '18-7=11']
Exploring Operation: 31*11=341, Resulting Numbers: [341]
341,95 unequal: No Solution
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,95 unequal: No Solution
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Moving to Node #0,4,4
Current State: 95:[18, 38], Operations: ['80-73=7', '31+7=38']
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[111, 91], Operations: ['31+80=111', '18+73=91']
Exploring Operation: 111*91=10101, Resulting Numbers: [10101]
10101,95 unequal: No Solution
Exploring Operation: 111-91=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 111+91=202, Resulting Numbers: [202]
202,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[18, 38], Operations: ['31+80=111', '111-73=38']
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,95 unequal: No Solution
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[80, 86], Operations: ['31+73=104', '104-18=86']
Exploring Operation: 80+86=166, Resulting Numbers: [166]
166,95 unequal: No Solution
Exploring Operation: 86-80=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 80*86=6880, Resulting Numbers: [6880]
6880,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[73, 93], Operations: ['31+80=111', '111-18=93']
Exploring Operation: 73+93=166, Resulting Numbers: [166]
166,95 unequal: No Solution
Exploring Operation: 93-73=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 73*93=6789, Resulting Numbers: [6789]
6789,95 unequal: No Solution
Moving to Node #0,0,4
Current State: 95:[98, 42], Operations: ['80+18=98', '73-31=42']
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 98+42=140, Resulting Numbers: [140]
140,95 unequal: No Solution
Exploring Operation: 98*42=4116, Resulting Numbers: [4116]
4116,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[80, 122], Operations: ['31+73=104', '18+104=122']
Exploring Operation: 80+122=202, Resulting Numbers: [202]
202,95 unequal: No Solution
Exploring Operation: 122-80=42, Resulting Numbers: [42]
42,95 unequal: No Solution
Exploring Operation: 80*122=9760, Resulting Numbers: [9760]
9760,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[104, 62], Operations: ['31+73=104', '80-18=62']
Exploring Operation: 104+62=166, Resulting Numbers: [166]
166,95 unequal: No Solution
Exploring Operation: 104*62=6448, Resulting Numbers: [6448]
6448,95 unequal: No Solution
Exploring Operation: 104-62=42, Resulting Numbers: [42]
42,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[73, 67], Operations: ['80+18=98', '98-31=67']
Exploring Operation: 73-67=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 73+67=140, Resulting Numbers: [140]
140,95 unequal: No Solution
Exploring Operation: 73*67=4891, Resulting Numbers: [4891]
4891,95 unequal: No Solution
Moving to Node #0,3,0
Current State: 95:[111, 55], Operations: ['31+80=111', '73-18=55']
Exploring Operation: 111+55=166, Resulting Numbers: [166]
166,95 unequal: No Solution
Exploring Operation: 111*55=6105, Resulting Numbers: [6105]
6105,95 unequal: No Solution
Exploring Operation: 111-55=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[73, 129], Operations: ['80+18=98', '31+98=129']
Exploring Operation: 73*129=9417, Resulting Numbers: [9417]
9417,95 unequal: No Solution
Exploring Operation: 73+129=202, Resulting Numbers: [202]
202,95 unequal: No Solution
Exploring Operation: 129-73=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Moving to Node #0,3,4
Current State: 95:[73, 129], Operations: ['31+80=111', '18+111=129']
Exploring Operation: 73+129=202, Resulting Numbers: [202]
202,95 unequal: No Solution
Exploring Operation: 129-73=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 73*129=9417, Resulting Numbers: [9417]
9417,95 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
32,
74,
73,
43
] | 11 |
[
"43-32=11",
"74-73=1",
"11*1=11"
] |
Current State: 11:[32, 74, 73, 43], Operations: []
Exploring Operation: 43-32=11, Resulting Numbers: [74, 73, 11]
Generated Node #2: [74, 73, 11] from Operation: 43-32=11
Current State: 11:[74, 73, 11], Operations: ['43-32=11']
Exploring Operation: 74-73=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 74-73=1
Current State: 11:[11, 1], Operations: ['43-32=11', '74-73=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[32, 74, 73, 43], Operations: []
Exploring Operation: 73-32=41, Resulting Numbers: [74, 43, 41]
Generated Node #0,0: 11:[74, 43, 41] Operation: 73-32=41
Exploring Operation: 74-32=42, Resulting Numbers: [73, 43, 42]
Generated Node #0,1: 11:[73, 43, 42] Operation: 74-32=42
Exploring Operation: 74-73=1, Resulting Numbers: [32, 43, 1]
Generated Node #0,2: 11:[32, 43, 1] Operation: 74-73=1
Exploring Operation: 73-43=30, Resulting Numbers: [32, 74, 30]
Generated Node #0,3: 11:[32, 74, 30] Operation: 73-43=30
Exploring Operation: 74-43=31, Resulting Numbers: [32, 73, 31]
Generated Node #0,4: 11:[32, 73, 31] Operation: 74-43=31
Moving to Node #0,2
Current State: 11:[32, 43, 1], Operations: ['74-73=1']
Exploring Operation: 43-1=42, Resulting Numbers: [32, 42]
Generated Node #0,2,0: 11:[32, 42] Operation: 43-1=42
Exploring Operation: 32*1=32, Resulting Numbers: [43, 32]
Generated Node #0,2,1: 11:[43, 32] Operation: 32*1=32
Exploring Operation: 32-1=31, Resulting Numbers: [43, 31]
Generated Node #0,2,2: 11:[43, 31] Operation: 32-1=31
Exploring Operation: 43-32=11, Resulting Numbers: [1, 11]
Generated Node #0,2,3: 11:[1, 11] Operation: 43-32=11
Exploring Operation: 32/1=32, Resulting Numbers: [43, 32]
Generated Node #0,2,4: 11:[43, 32] Operation: 32/1=32
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 11:[1, 11], Operations: ['74-73=1', '43-32=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[32, 74, 73, 43], Operations: []
Exploring Operation: 74-73=1, Resulting Numbers: [32, 43, 1]
Generated Node #0,2: 11:[32, 43, 1] Operation: 74-73=1
Moving to Node #0,2
Current State: 11:[32, 43, 1], Operations: ['74-73=1']
Exploring Operation: 43-32=11, Resulting Numbers: [1, 11]
Generated Node #0,2,3: 11:[1, 11] Operation: 43-32=11
Moving to Node #0,2,3
Current State: 11:[1, 11], Operations: ['74-73=1', '43-32=11']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
mult_heuristic
|
[
78,
64,
98,
77
] | 11 |
[
"78-64=14",
"98/14=7",
"77/7=11"
] |
Current State: 11:[78, 64, 98, 77], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [98, 77, 14]
Generated Node #2: [98, 77, 14] from Operation: 78-64=14
Current State: 11:[98, 77, 14], Operations: ['78-64=14']
Exploring Operation: 98/14=7, Resulting Numbers: [77, 7]
Generated Node #3: [77, 7] from Operation: 98/14=7
Current State: 11:[77, 7], Operations: ['78-64=14', '98/14=7']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[78, 64, 98, 77], Operations: []
Exploring Operation: 98-78=20, Resulting Numbers: [64, 77, 20]
Generated Node #0,0: 11:[64, 77, 20] Operation: 98-78=20
Exploring Operation: 78-64=14, Resulting Numbers: [98, 77, 14]
Generated Node #0,1: 11:[98, 77, 14] Operation: 78-64=14
Exploring Operation: 78-77=1, Resulting Numbers: [64, 98, 1]
Generated Node #0,2: 11:[64, 98, 1] Operation: 78-77=1
Exploring Operation: 98-64=34, Resulting Numbers: [78, 77, 34]
Generated Node #0,3: 11:[78, 77, 34] Operation: 98-64=34
Exploring Operation: 98-77=21, Resulting Numbers: [78, 64, 21]
Generated Node #0,4: 11:[78, 64, 21] Operation: 98-77=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[64, 77, 20], Operations: ['98-78=20']
Exploring Operation: 64-20=44, Resulting Numbers: [77, 44]
Generated Node #0,0,0: 11:[77, 44] Operation: 64-20=44
Exploring Operation: 64+77=141, Resulting Numbers: [20, 141]
Generated Node #0,0,1: 11:[20, 141] Operation: 64+77=141
Exploring Operation: 64+20=84, Resulting Numbers: [77, 84]
Generated Node #0,0,2: 11:[77, 84] Operation: 64+20=84
Exploring Operation: 77-20=57, Resulting Numbers: [64, 57]
Generated Node #0,0,3: 11:[64, 57] Operation: 77-20=57
Exploring Operation: 77-64=13, Resulting Numbers: [20, 13]
Generated Node #0,0,4: 11:[20, 13] Operation: 77-64=13
Moving to Node #0,0,4
Current State: 11:[20, 13], Operations: ['98-78=20', '77-64=13']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[64, 57], Operations: ['98-78=20', '77-20=57']
Exploring Operation: 64*57=3648, Resulting Numbers: [3648]
3648,11 unequal: No Solution
Exploring Operation: 64+57=121, Resulting Numbers: [121]
121,11 unequal: No Solution
Exploring Operation: 64-57=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[77, 44], Operations: ['98-78=20', '64-20=44']
Exploring Operation: 77*44=3388, Resulting Numbers: [3388]
3388,11 unequal: No Solution
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 77+44=121, Resulting Numbers: [121]
121,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[20, 141], Operations: ['98-78=20', '64+77=141']
Exploring Operation: 141-20=121, Resulting Numbers: [121]
121,11 unequal: No Solution
Exploring Operation: 20+141=161, Resulting Numbers: [161]
161,11 unequal: No Solution
Exploring Operation: 20*141=2820, Resulting Numbers: [2820]
2820,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[77, 84], Operations: ['98-78=20', '64+20=84']
Exploring Operation: 77+84=161, Resulting Numbers: [161]
161,11 unequal: No Solution
Exploring Operation: 84-77=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 77*84=6468, Resulting Numbers: [6468]
6468,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 11:[78, 64, 21], Operations: ['98-77=21']
Exploring Operation: 78-64=14, Resulting Numbers: [21, 14]
Generated Node #0,4,0: 11:[21, 14] Operation: 78-64=14
Exploring Operation: 64-21=43, Resulting Numbers: [78, 43]
Generated Node #0,4,1: 11:[78, 43] Operation: 64-21=43
Exploring Operation: 78+64=142, Resulting Numbers: [21, 142]
Generated Node #0,4,2: 11:[21, 142] Operation: 78+64=142
Exploring Operation: 78-21=57, Resulting Numbers: [64, 57]
Generated Node #0,4,3: 11:[64, 57] Operation: 78-21=57
Exploring Operation: 78+21=99, Resulting Numbers: [64, 99]
Generated Node #0,4,4: 11:[64, 99] Operation: 78+21=99
Moving to Node #0,4,0
Current State: 11:[21, 14], Operations: ['98-77=21', '78-64=14']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 21*14=294, Resulting Numbers: [294]
294,11 unequal: No Solution
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Moving to Node #0,4,3
Current State: 11:[64, 57], Operations: ['98-77=21', '78-21=57']
Exploring Operation: 64-57=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 64+57=121, Resulting Numbers: [121]
121,11 unequal: No Solution
Exploring Operation: 64*57=3648, Resulting Numbers: [3648]
3648,11 unequal: No Solution
Moving to Node #0,4,1
Current State: 11:[78, 43], Operations: ['98-77=21', '64-21=43']
Exploring Operation: 78*43=3354, Resulting Numbers: [3354]
3354,11 unequal: No Solution
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 78+43=121, Resulting Numbers: [121]
121,11 unequal: No Solution
Moving to Node #0,4,2
Current State: 11:[21, 142], Operations: ['98-77=21', '78+64=142']
Exploring Operation: 21+142=163, Resulting Numbers: [163]
163,11 unequal: No Solution
Exploring Operation: 21*142=2982, Resulting Numbers: [2982]
2982,11 unequal: No Solution
Exploring Operation: 142-21=121, Resulting Numbers: [121]
121,11 unequal: No Solution
Moving to Node #0,4,4
Current State: 11:[64, 99], Operations: ['98-77=21', '78+21=99']
Exploring Operation: 64*99=6336, Resulting Numbers: [6336]
6336,11 unequal: No Solution
Exploring Operation: 99-64=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 64+99=163, Resulting Numbers: [163]
163,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[64, 98, 1], Operations: ['78-77=1']
Exploring Operation: 64/1=64, Resulting Numbers: [98, 64]
Generated Node #0,2,0: 11:[98, 64] Operation: 64/1=64
Exploring Operation: 64-1=63, Resulting Numbers: [98, 63]
Generated Node #0,2,1: 11:[98, 63] Operation: 64-1=63
Exploring Operation: 98-1=97, Resulting Numbers: [64, 97]
Generated Node #0,2,2: 11:[64, 97] Operation: 98-1=97
Exploring Operation: 98-64=34, Resulting Numbers: [1, 34]
Generated Node #0,2,3: 11:[1, 34] Operation: 98-64=34
Exploring Operation: 64*1=64, Resulting Numbers: [98, 64]
Generated Node #0,2,4: 11:[98, 64] Operation: 64*1=64
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 11:[1, 34], Operations: ['78-77=1', '98-64=34']
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 1+34=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Exploring Operation: 1*34=34, Resulting Numbers: [34]
34,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 11:[98, 63], Operations: ['78-77=1', '64-1=63']
Exploring Operation: 98*63=6174, Resulting Numbers: [6174]
6174,11 unequal: No Solution
Exploring Operation: 98-63=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 98+63=161, Resulting Numbers: [161]
161,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 11:[64, 97], Operations: ['78-77=1', '98-1=97']
Exploring Operation: 64+97=161, Resulting Numbers: [161]
161,11 unequal: No Solution
Exploring Operation: 64*97=6208, Resulting Numbers: [6208]
6208,11 unequal: No Solution
Exploring Operation: 97-64=33, Resulting Numbers: [33]
33,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 11:[98, 64], Operations: ['78-77=1', '64/1=64']
Exploring Operation: 98*64=6272, Resulting Numbers: [6272]
6272,11 unequal: No Solution
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Exploring Operation: 98+64=162, Resulting Numbers: [162]
162,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 11:[98, 64], Operations: ['78-77=1', '64*1=64']
Exploring Operation: 98*64=6272, Resulting Numbers: [6272]
6272,11 unequal: No Solution
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Exploring Operation: 98+64=162, Resulting Numbers: [162]
162,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[98, 77, 14], Operations: ['78-64=14']
Exploring Operation: 98-77=21, Resulting Numbers: [14, 21]
Generated Node #0,1,0: 11:[14, 21] Operation: 98-77=21
Exploring Operation: 98+77=175, Resulting Numbers: [14, 175]
Generated Node #0,1,1: 11:[14, 175] Operation: 98+77=175
Exploring Operation: 98/14=7, Resulting Numbers: [77, 7]
Generated Node #0,1,2: 11:[77, 7] Operation: 98/14=7
Exploring Operation: 77-14=63, Resulting Numbers: [98, 63]
Generated Node #0,1,3: 11:[98, 63] Operation: 77-14=63
Exploring Operation: 98-14=84, Resulting Numbers: [77, 84]
Generated Node #0,1,4: 11:[77, 84] Operation: 98-14=84
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[14, 21], Operations: ['78-64=14', '98-77=21']
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 14*21=294, Resulting Numbers: [294]
294,11 unequal: No Solution
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[77, 7], Operations: ['78-64=14', '98/14=7']
Exploring Operation: 77*7=539, Resulting Numbers: [539]
539,11 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[78, 64, 98, 77], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [98, 77, 14]
Generated Node #0,1: 11:[98, 77, 14] Operation: 78-64=14
Moving to Node #0,1
Current State: 11:[98, 77, 14], Operations: ['78-64=14']
Exploring Operation: 98/14=7, Resulting Numbers: [77, 7]
Generated Node #0,1,2: 11:[77, 7] Operation: 98/14=7
Moving to Node #0,1,2
Current State: 11:[77, 7], Operations: ['78-64=14', '98/14=7']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.930556 |
hs_5
|
mult_heuristic
|
[
16,
47,
81,
80
] | 72 |
[
"47+81=128",
"128/16=8",
"80-8=72"
] |
Current State: 72:[16, 47, 81, 80], Operations: []
Exploring Operation: 47+81=128, Resulting Numbers: [16, 80, 128]
Generated Node #2: [16, 80, 128] from Operation: 47+81=128
Current State: 72:[16, 80, 128], Operations: ['47+81=128']
Exploring Operation: 128/16=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 128/16=8
Current State: 72:[80, 8], Operations: ['47+81=128', '128/16=8']
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[16, 47, 81, 80], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [16, 47, 1]
Generated Node #0,0: 72:[16, 47, 1] Operation: 81-80=1
Exploring Operation: 47-16=31, Resulting Numbers: [81, 80, 31]
Generated Node #0,1: 72:[81, 80, 31] Operation: 47-16=31
Exploring Operation: 81-47=34, Resulting Numbers: [16, 80, 34]
Generated Node #0,2: 72:[16, 80, 34] Operation: 81-47=34
Exploring Operation: 80-47=33, Resulting Numbers: [16, 81, 33]
Generated Node #0,3: 72:[16, 81, 33] Operation: 80-47=33
Exploring Operation: 80/16=5, Resulting Numbers: [47, 81, 5]
Generated Node #0,4: 72:[47, 81, 5] Operation: 80/16=5
Moving to Node #0,2
Current State: 72:[16, 80, 34], Operations: ['81-47=34']
Exploring Operation: 80-34=46, Resulting Numbers: [16, 46]
Generated Node #0,2,0: 72:[16, 46] Operation: 80-34=46
Exploring Operation: 80/16=5, Resulting Numbers: [34, 5]
Generated Node #0,2,1: 72:[34, 5] Operation: 80/16=5
Exploring Operation: 16+34=50, Resulting Numbers: [80, 50]
Generated Node #0,2,2: 72:[80, 50] Operation: 16+34=50
Exploring Operation: 34-16=18, Resulting Numbers: [80, 18]
Generated Node #0,2,3: 72:[80, 18] Operation: 34-16=18
Exploring Operation: 80-16=64, Resulting Numbers: [34, 64]
Generated Node #0,2,4: 72:[34, 64] Operation: 80-16=64
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[34, 5], Operations: ['81-47=34', '80/16=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,72 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 72:[80, 18], Operations: ['81-47=34', '34-16=18']
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,72 unequal: No Solution
Exploring Operation: 80*18=1440, Resulting Numbers: [1440]
1440,72 unequal: No Solution
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 72:[34, 64], Operations: ['81-47=34', '80-16=64']
Exploring Operation: 34*64=2176, Resulting Numbers: [2176]
2176,72 unequal: No Solution
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[16, 46], Operations: ['81-47=34', '80-34=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,72 unequal: No Solution
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,72 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[80, 50], Operations: ['81-47=34', '16+34=50']
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 80+50=130, Resulting Numbers: [130]
130,72 unequal: No Solution
Exploring Operation: 80*50=4000, Resulting Numbers: [4000]
4000,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 72:[16, 81, 33], Operations: ['80-47=33']
Exploring Operation: 16+33=49, Resulting Numbers: [81, 49]
Generated Node #0,3,0: 72:[81, 49] Operation: 16+33=49
Exploring Operation: 81-16=65, Resulting Numbers: [33, 65]
Generated Node #0,3,1: 72:[33, 65] Operation: 81-16=65
Exploring Operation: 81-33=48, Resulting Numbers: [16, 48]
Generated Node #0,3,2: 72:[16, 48] Operation: 81-33=48
Exploring Operation: 33-16=17, Resulting Numbers: [81, 17]
Generated Node #0,3,3: 72:[81, 17] Operation: 33-16=17
Exploring Operation: 16+81=97, Resulting Numbers: [33, 97]
Generated Node #0,3,4: 72:[33, 97] Operation: 16+81=97
Moving to Node #0,0
Current State: 72:[16, 47, 1], Operations: ['81-80=1']
Exploring Operation: 16*1=16, Resulting Numbers: [47, 16]
Generated Node #0,0,0: 72:[47, 16] Operation: 16*1=16
Exploring Operation: 47-16=31, Resulting Numbers: [1, 31]
Generated Node #0,0,1: 72:[1, 31] Operation: 47-16=31
Exploring Operation: 47-1=46, Resulting Numbers: [16, 46]
Generated Node #0,0,2: 72:[16, 46] Operation: 47-1=46
Exploring Operation: 16+47=63, Resulting Numbers: [1, 63]
Generated Node #0,0,3: 72:[1, 63] Operation: 16+47=63
Exploring Operation: 16+1=17, Resulting Numbers: [47, 17]
Generated Node #0,0,4: 72:[47, 17] Operation: 16+1=17
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[1, 31], Operations: ['81-80=1', '47-16=31']
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,72 unequal: No Solution
Exploring Operation: 1*31=31, Resulting Numbers: [31]
31,72 unequal: No Solution
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 72:[1, 63], Operations: ['81-80=1', '16+47=63']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Exploring Operation: 1*63=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 72:[16, 46], Operations: ['81-80=1', '47-1=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,72 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 72:[47, 17], Operations: ['81-80=1', '16+1=17']
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 47*17=799, Resulting Numbers: [799]
799,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[47, 16], Operations: ['81-80=1', '16*1=16']
Exploring Operation: 47*16=752, Resulting Numbers: [752]
752,72 unequal: No Solution
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 72:[47, 81, 5], Operations: ['80/16=5']
Exploring Operation: 81+5=86, Resulting Numbers: [47, 86]
Generated Node #0,4,0: 72:[47, 86] Operation: 81+5=86
Exploring Operation: 47-5=42, Resulting Numbers: [81, 42]
Generated Node #0,4,1: 72:[81, 42] Operation: 47-5=42
Exploring Operation: 81-5=76, Resulting Numbers: [47, 76]
Generated Node #0,4,2: 72:[47, 76] Operation: 81-5=76
Exploring Operation: 81-47=34, Resulting Numbers: [5, 34]
Generated Node #0,4,3: 72:[5, 34] Operation: 81-47=34
Exploring Operation: 47+5=52, Resulting Numbers: [81, 52]
Generated Node #0,4,4: 72:[81, 52] Operation: 47+5=52
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 72:[5, 34], Operations: ['80/16=5', '81-47=34']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Exploring Operation: 5*34=170, Resulting Numbers: [170]
170,72 unequal: No Solution
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 72:[81, 42], Operations: ['80/16=5', '47-5=42']
Exploring Operation: 81*42=3402, Resulting Numbers: [3402]
3402,72 unequal: No Solution
Exploring Operation: 81+42=123, Resulting Numbers: [123]
123,72 unequal: No Solution
Exploring Operation: 81-42=39, Resulting Numbers: [39]
39,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 72:[47, 76], Operations: ['80/16=5', '81-5=76']
Exploring Operation: 76-47=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Exploring Operation: 47*76=3572, Resulting Numbers: [3572]
3572,72 unequal: No Solution
Exploring Operation: 47+76=123, Resulting Numbers: [123]
123,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 72:[47, 86], Operations: ['80/16=5', '81+5=86']
Exploring Operation: 86-47=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 47+86=133, Resulting Numbers: [133]
133,72 unequal: No Solution
Exploring Operation: 47*86=4042, Resulting Numbers: [4042]
4042,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 72:[81, 52], Operations: ['80/16=5', '47+5=52']
Exploring Operation: 81*52=4212, Resulting Numbers: [4212]
4212,72 unequal: No Solution
Exploring Operation: 81+52=133, Resulting Numbers: [133]
133,72 unequal: No Solution
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 72:[81, 80, 31], Operations: ['47-16=31']
Exploring Operation: 80+31=111, Resulting Numbers: [81, 111]
Generated Node #0,1,0: 72:[81, 111] Operation: 80+31=111
Exploring Operation: 80-31=49, Resulting Numbers: [81, 49]
Generated Node #0,1,1: 72:[81, 49] Operation: 80-31=49
Exploring Operation: 81+31=112, Resulting Numbers: [80, 112]
Generated Node #0,1,2: 72:[80, 112] Operation: 81+31=112
Exploring Operation: 81-80=1, Resulting Numbers: [31, 1]
Generated Node #0,1,3: 72:[31, 1] Operation: 81-80=1
Exploring Operation: 81-31=50, Resulting Numbers: [80, 50]
Generated Node #0,1,4: 72:[80, 50] Operation: 81-31=50
Moving to Node #0,1,3
Current State: 72:[31, 1], Operations: ['47-16=31', '81-80=1']
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,72 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,72 unequal: No Solution
Moving to Node #0,3,1
Current State: 72:[33, 65], Operations: ['80-47=33', '81-16=65']
Exploring Operation: 33+65=98, Resulting Numbers: [98]
98,72 unequal: No Solution
Exploring Operation: 33*65=2145, Resulting Numbers: [2145]
2145,72 unequal: No Solution
Exploring Operation: 65-33=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[81, 17], Operations: ['80-47=33', '33-16=17']
Exploring Operation: 81+17=98, Resulting Numbers: [98]
98,72 unequal: No Solution
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Exploring Operation: 81*17=1377, Resulting Numbers: [1377]
1377,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[16, 48], Operations: ['80-47=33', '81-33=48']
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 16*48=768, Resulting Numbers: [768]
768,72 unequal: No Solution
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[81, 49], Operations: ['47-16=31', '80-31=49']
Exploring Operation: 81+49=130, Resulting Numbers: [130]
130,72 unequal: No Solution
Exploring Operation: 81*49=3969, Resulting Numbers: [3969]
3969,72 unequal: No Solution
Exploring Operation: 81-49=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Moving to Node #0,3,0
Current State: 72:[81, 49], Operations: ['80-47=33', '16+33=49']
Exploring Operation: 81+49=130, Resulting Numbers: [130]
130,72 unequal: No Solution
Exploring Operation: 81*49=3969, Resulting Numbers: [3969]
3969,72 unequal: No Solution
Exploring Operation: 81-49=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Moving to Node #0,1,4
Current State: 72:[80, 50], Operations: ['47-16=31', '81-31=50']
Exploring Operation: 80*50=4000, Resulting Numbers: [4000]
4000,72 unequal: No Solution
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 80+50=130, Resulting Numbers: [130]
130,72 unequal: No Solution
Moving to Node #0,3,4
Current State: 72:[33, 97], Operations: ['80-47=33', '16+81=97']
Exploring Operation: 33*97=3201, Resulting Numbers: [3201]
3201,72 unequal: No Solution
Exploring Operation: 97-33=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Exploring Operation: 33+97=130, Resulting Numbers: [130]
130,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[81, 111], Operations: ['47-16=31', '80+31=111']
Exploring Operation: 81+111=192, Resulting Numbers: [192]
192,72 unequal: No Solution
Exploring Operation: 81*111=8991, Resulting Numbers: [8991]
8991,72 unequal: No Solution
Exploring Operation: 111-81=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[80, 112], Operations: ['47-16=31', '81+31=112']
Exploring Operation: 80+112=192, Resulting Numbers: [192]
192,72 unequal: No Solution
Exploring Operation: 112-80=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Exploring Operation: 80*112=8960, Resulting Numbers: [8960]
8960,72 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
99,
54,
21,
24
] | 27 |
[
"54-21=33",
"99/33=3",
"24+3=27"
] |
Current State: 27:[99, 54, 21, 24], Operations: []
Exploring Operation: 54-21=33, Resulting Numbers: [99, 24, 33]
Generated Node #2: [99, 24, 33] from Operation: 54-21=33
Current State: 27:[99, 24, 33], Operations: ['54-21=33']
Exploring Operation: 99/33=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 99/33=3
Current State: 27:[24, 3], Operations: ['54-21=33', '99/33=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
Current State: 27:[99, 54, 21, 24], Operations: []
Exploring Operation: 99-24=75, Resulting Numbers: [54, 21, 75]
Generated Node #0,0: 27:[54, 21, 75] Operation: 99-24=75
Exploring Operation: 99-54=45, Resulting Numbers: [21, 24, 45]
Generated Node #0,1: 27:[21, 24, 45] Operation: 99-54=45
Exploring Operation: 54-21=33, Resulting Numbers: [99, 24, 33]
Generated Node #0,2: 27:[99, 24, 33] Operation: 54-21=33
Exploring Operation: 54-24=30, Resulting Numbers: [99, 21, 30]
Generated Node #0,3: 27:[99, 21, 30] Operation: 54-24=30
Exploring Operation: 99-21=78, Resulting Numbers: [54, 24, 78]
Generated Node #0,4: 27:[54, 24, 78] Operation: 99-21=78
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[21, 24, 45], Operations: ['99-54=45']
Exploring Operation: 45-21=24, Resulting Numbers: [24, 24]
Generated Node #0,1,0: 27:[24, 24] Operation: 45-21=24
Exploring Operation: 45-24=21, Resulting Numbers: [21, 21]
Generated Node #0,1,1: 27:[21, 21] Operation: 45-24=21
Exploring Operation: 24-21=3, Resulting Numbers: [45, 3]
Generated Node #0,1,2: 27:[45, 3] Operation: 24-21=3
Exploring Operation: 21+45=66, Resulting Numbers: [24, 66]
Generated Node #0,1,3: 27:[24, 66] Operation: 21+45=66
Exploring Operation: 21+24=45, Resulting Numbers: [45, 45]
Generated Node #0,1,4: 27:[45, 45] Operation: 21+24=45
Moving to Node #0,1,0
Current State: 27:[24, 24], Operations: ['99-54=45', '45-21=24']
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,27 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[21, 21], Operations: ['99-54=45', '45-24=21']
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,27 unequal: No Solution
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[45, 3], Operations: ['99-54=45', '24-21=3']
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,27 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,27 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 45*3=135, Resulting Numbers: [135]
135,27 unequal: No Solution
Moving to Node #0,1,4
Current State: 27:[45, 45], Operations: ['99-54=45', '21+24=45']
Exploring Operation: 45-45=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 45*45=2025, Resulting Numbers: [2025]
2025,27 unequal: No Solution
Exploring Operation: 45+45=90, Resulting Numbers: [90]
90,27 unequal: No Solution
Exploring Operation: 45/45=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[24, 66], Operations: ['99-54=45', '21+45=66']
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,27 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,27 unequal: No Solution
Exploring Operation: 24*66=1584, Resulting Numbers: [1584]
1584,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[54, 21, 75], Operations: ['99-24=75']
Exploring Operation: 21+75=96, Resulting Numbers: [54, 96]
Generated Node #0,0,0: 27:[54, 96] Operation: 21+75=96
Exploring Operation: 54-21=33, Resulting Numbers: [75, 33]
Generated Node #0,0,1: 27:[75, 33] Operation: 54-21=33
Exploring Operation: 54+21=75, Resulting Numbers: [75, 75]
Generated Node #0,0,2: 27:[75, 75] Operation: 54+21=75
Exploring Operation: 75-54=21, Resulting Numbers: [21, 21]
Generated Node #0,0,3: 27:[21, 21] Operation: 75-54=21
Exploring Operation: 75-21=54, Resulting Numbers: [54, 54]
Generated Node #0,0,4: 27:[54, 54] Operation: 75-21=54
Moving to Node #0,0,3
Current State: 27:[21, 21], Operations: ['99-24=75', '75-54=21']
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,27 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,27 unequal: No Solution
Moving to Node #0,0,4
Current State: 27:[54, 54], Operations: ['99-24=75', '75-21=54']
Exploring Operation: 54-54=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 54/54=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 54+54=108, Resulting Numbers: [108]
108,27 unequal: No Solution
Exploring Operation: 54*54=2916, Resulting Numbers: [2916]
2916,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[75, 33], Operations: ['99-24=75', '54-21=33']
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,27 unequal: No Solution
Exploring Operation: 75+33=108, Resulting Numbers: [108]
108,27 unequal: No Solution
Exploring Operation: 75*33=2475, Resulting Numbers: [2475]
2475,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[54, 96], Operations: ['99-24=75', '21+75=96']
Exploring Operation: 54+96=150, Resulting Numbers: [150]
150,27 unequal: No Solution
Exploring Operation: 54*96=5184, Resulting Numbers: [5184]
5184,27 unequal: No Solution
Exploring Operation: 96-54=42, Resulting Numbers: [42]
42,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[75, 75], Operations: ['99-24=75', '54+21=75']
Exploring Operation: 75+75=150, Resulting Numbers: [150]
150,27 unequal: No Solution
Exploring Operation: 75*75=5625, Resulting Numbers: [5625]
5625,27 unequal: No Solution
Exploring Operation: 75/75=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 75-75=0, Resulting Numbers: [0]
0,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[99, 24, 33], Operations: ['54-21=33']
Exploring Operation: 99/33=3, Resulting Numbers: [24, 3]
Generated Node #0,2,0: 27:[24, 3] Operation: 99/33=3
Exploring Operation: 99-24=75, Resulting Numbers: [33, 75]
Generated Node #0,2,1: 27:[33, 75] Operation: 99-24=75
Exploring Operation: 99-33=66, Resulting Numbers: [24, 66]
Generated Node #0,2,2: 27:[24, 66] Operation: 99-33=66
Exploring Operation: 99+24=123, Resulting Numbers: [33, 123]
Generated Node #0,2,3: 27:[33, 123] Operation: 99+24=123
Exploring Operation: 33-24=9, Resulting Numbers: [99, 9]
Generated Node #0,2,4: 27:[99, 9] Operation: 33-24=9
Moving to Node #0,2,0
Current State: 27:[24, 3], Operations: ['54-21=33', '99/33=3']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[99, 54, 21, 24], Operations: []
Exploring Operation: 54-21=33, Resulting Numbers: [99, 24, 33]
Generated Node #0,2: 27:[99, 24, 33] Operation: 54-21=33
Moving to Node #0,2
Current State: 27:[99, 24, 33], Operations: ['54-21=33']
Exploring Operation: 99/33=3, Resulting Numbers: [24, 3]
Generated Node #0,2,0: 27:[24, 3] Operation: 99/33=3
Moving to Node #0,2,0
Current State: 27:[24, 3], Operations: ['54-21=33', '99/33=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.943576 |
hs_5
|
mult_heuristic
|
[
6,
96,
35,
24
] | 83 |
[
"6*24=144",
"96-35=61",
"144-61=83"
] |
Current State: 83:[6, 96, 35, 24], Operations: []
Exploring Operation: 6*24=144, Resulting Numbers: [96, 35, 144]
Generated Node #2: [96, 35, 144] from Operation: 6*24=144
Current State: 83:[96, 35, 144], Operations: ['6*24=144']
Exploring Operation: 96-35=61, Resulting Numbers: [144, 61]
Generated Node #3: [144, 61] from Operation: 96-35=61
Current State: 83:[144, 61], Operations: ['6*24=144', '96-35=61']
Exploring Operation: 144-61=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
Current State: 83:[6, 96, 35, 24], Operations: []
Exploring Operation: 96-6=90, Resulting Numbers: [35, 24, 90]
Generated Node #0,0: 83:[35, 24, 90] Operation: 96-6=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[35, 24, 90], Operations: ['96-6=90']
Exploring Operation: 35+24=59, Resulting Numbers: [90, 59]
Generated Node #0,0,0: 83:[90, 59] Operation: 35+24=59
Moving to Node #0,0,0
Current State: 83:[90, 59], Operations: ['96-6=90', '35+24=59']
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
7,
16,
55,
4
] | 63 |
[
"16*4=64",
"64-55=9",
"7*9=63"
] |
Current State: 63:[7, 16, 55, 4], Operations: []
Exploring Operation: 16*4=64, Resulting Numbers: [7, 55, 64]
Generated Node #2: [7, 55, 64] from Operation: 16*4=64
Current State: 63:[7, 55, 64], Operations: ['16*4=64']
Exploring Operation: 64-55=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 64-55=9
Current State: 63:[7, 9], Operations: ['16*4=64', '64-55=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[7, 16, 55, 4], Operations: []
Exploring Operation: 16-7=9, Resulting Numbers: [55, 4, 9]
Generated Node #0,0: 63:[55, 4, 9] Operation: 16-7=9
Exploring Operation: 7+55=62, Resulting Numbers: [16, 4, 62]
Generated Node #0,1: 63:[16, 4, 62] Operation: 7+55=62
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[16, 4, 62], Operations: ['7+55=62']
Exploring Operation: 16+4=20, Resulting Numbers: [62, 20]
Generated Node #0,1,0: 63:[62, 20] Operation: 16+4=20
Exploring Operation: 16*4=64, Resulting Numbers: [62, 64]
Generated Node #0,1,1: 63:[62, 64] Operation: 16*4=64
Moving to Node #0,1,0
Current State: 63:[62, 20], Operations: ['7+55=62', '16+4=20']
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,63 unequal: No Solution
Exploring Operation: 62+20=82, Resulting Numbers: [82]
82,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[62, 64], Operations: ['7+55=62', '16*4=64']
Exploring Operation: 62+64=126, Resulting Numbers: [126]
126,63 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[55, 4, 9], Operations: ['16-7=9']
Exploring Operation: 55+4=59, Resulting Numbers: [9, 59]
Generated Node #0,0,0: 63:[9, 59] Operation: 55+4=59
Exploring Operation: 55+9=64, Resulting Numbers: [4, 64]
Generated Node #0,0,1: 63:[4, 64] Operation: 55+9=64
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[4, 64], Operations: ['16-7=9', '55+9=64']
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,63 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[9, 59], Operations: ['16-7=9', '55+4=59']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,63 unequal: No Solution
Exploring Operation: 9+59=68, Resulting Numbers: [68]
68,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
20,
3,
20,
4
] | 52 |
[
"20+20=40",
"3*4=12",
"40+12=52"
] |
Current State: 52:[20, 3, 20, 4], Operations: []
Exploring Operation: 20+20=40, Resulting Numbers: [3, 4, 40]
Generated Node #2: [3, 4, 40] from Operation: 20+20=40
Current State: 52:[3, 4, 40], Operations: ['20+20=40']
Exploring Operation: 3*4=12, Resulting Numbers: [40, 12]
Generated Node #3: [40, 12] from Operation: 3*4=12
Current State: 52:[40, 12], Operations: ['20+20=40', '3*4=12']
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[20, 3, 20, 4], Operations: []
Exploring Operation: 20-20=0, Resulting Numbers: [3, 4, 0]
Generated Node #0,0: 52:[3, 4, 0] Operation: 20-20=0
Exploring Operation: 20/20=1, Resulting Numbers: [3, 4, 1]
Generated Node #0,1: 52:[3, 4, 1] Operation: 20/20=1
Moving to Node #0,1
Current State: 52:[3, 4, 1], Operations: ['20/20=1']
Exploring Operation: 3+1=4, Resulting Numbers: [4, 4]
Generated Node #0,1,0: 52:[4, 4] Operation: 3+1=4
Exploring Operation: 3-1=2, Resulting Numbers: [4, 2]
Generated Node #0,1,1: 52:[4, 2] Operation: 3-1=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 52:[4, 4], Operations: ['20/20=1', '3+1=4']
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 52:[4, 2], Operations: ['20/20=1', '3-1=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 52:[3, 4, 0], Operations: ['20-20=0']
Exploring Operation: 3+0=3, Resulting Numbers: [4, 3]
Generated Node #0,0,0: 52:[4, 3] Operation: 3+0=3
Exploring Operation: 3-0=3, Resulting Numbers: [4, 3]
Generated Node #0,0,1: 52:[4, 3] Operation: 3-0=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[4, 3], Operations: ['20-20=0', '3+0=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[4, 3], Operations: ['20-20=0', '3-0=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
49,
13,
48,
76
] | 90 |
[
"49+13=62",
"76-48=28",
"62+28=90"
] |
Current State: 90:[49, 13, 48, 76], Operations: []
Exploring Operation: 49+13=62, Resulting Numbers: [48, 76, 62]
Generated Node #2: [48, 76, 62] from Operation: 49+13=62
Current State: 90:[48, 76, 62], Operations: ['49+13=62']
Exploring Operation: 76-48=28, Resulting Numbers: [62, 28]
Generated Node #3: [62, 28] from Operation: 76-48=28
Current State: 90:[62, 28], Operations: ['49+13=62', '76-48=28']
Exploring Operation: 62+28=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[49, 13, 48, 76], Operations: []
Exploring Operation: 76-49=27, Resulting Numbers: [13, 48, 27]
Generated Node #0,0: 90:[13, 48, 27] Operation: 76-49=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[13, 48, 27], Operations: ['76-49=27']
Exploring Operation: 27-13=14, Resulting Numbers: [48, 14]
Generated Node #0,0,0: 90:[48, 14] Operation: 27-13=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[48, 14], Operations: ['76-49=27', '27-13=14']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
49,
11,
41,
75
] | 72 |
[
"49-11=38",
"75-41=34",
"38+34=72"
] |
Current State: 72:[49, 11, 41, 75], Operations: []
Exploring Operation: 49-11=38, Resulting Numbers: [41, 75, 38]
Generated Node #2: [41, 75, 38] from Operation: 49-11=38
Current State: 72:[41, 75, 38], Operations: ['49-11=38']
Exploring Operation: 75-41=34, Resulting Numbers: [38, 34]
Generated Node #3: [38, 34] from Operation: 75-41=34
Current State: 72:[38, 34], Operations: ['49-11=38', '75-41=34']
Exploring Operation: 38+34=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[49, 11, 41, 75], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [11, 75, 8]
Generated Node #0,0: 72:[11, 75, 8] Operation: 49-41=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[11, 75, 8], Operations: ['49-41=8']
Exploring Operation: 11-8=3, Resulting Numbers: [75, 3]
Generated Node #0,0,0: 72:[75, 3] Operation: 11-8=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[75, 3], Operations: ['49-41=8', '11-8=3']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[49, 11, 41, 75], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [11, 75, 8]
Generated Node #0,0: 72:[11, 75, 8] Operation: 49-41=8
Moving to Node #0,0
Current State: 72:[11, 75, 8], Operations: ['49-41=8']
Exploring Operation: 11-8=3, Resulting Numbers: [75, 3]
Generated Node #0,0,0: 72:[75, 3] Operation: 11-8=3
Moving to Node #0,0,0
Current State: 72:[75, 3], Operations: ['49-41=8', '11-8=3']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
74,
71,
79,
35
] | 64 |
[
"79-74=5",
"35/5=7",
"71-7=64"
] |
Current State: 64:[74, 71, 79, 35], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [71, 35, 5]
Generated Node #2: [71, 35, 5] from Operation: 79-74=5
Current State: 64:[71, 35, 5], Operations: ['79-74=5']
Exploring Operation: 35/5=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 35/5=7
Current State: 64:[71, 7], Operations: ['79-74=5', '35/5=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
Current State: 64:[74, 71, 79, 35], Operations: []
Exploring Operation: 74-35=39, Resulting Numbers: [71, 79, 39]
Generated Node #0,0: 64:[71, 79, 39] Operation: 74-35=39
Exploring Operation: 79-71=8, Resulting Numbers: [74, 35, 8]
Generated Node #0,1: 64:[74, 35, 8] Operation: 79-71=8
Exploring Operation: 74-71=3, Resulting Numbers: [79, 35, 3]
Generated Node #0,2: 64:[79, 35, 3] Operation: 74-71=3
Exploring Operation: 79-74=5, Resulting Numbers: [71, 35, 5]
Generated Node #0,3: 64:[71, 35, 5] Operation: 79-74=5
Moving to Node #0,3
Current State: 64:[71, 35, 5], Operations: ['79-74=5']
Exploring Operation: 71-35=36, Resulting Numbers: [5, 36]
Generated Node #0,3,0: 64:[5, 36] Operation: 71-35=36
Exploring Operation: 35/5=7, Resulting Numbers: [71, 7]
Generated Node #0,3,1: 64:[71, 7] Operation: 35/5=7
Exploring Operation: 71-5=66, Resulting Numbers: [35, 66]
Generated Node #0,3,2: 64:[35, 66] Operation: 71-5=66
Exploring Operation: 35-5=30, Resulting Numbers: [71, 30]
Generated Node #0,3,3: 64:[71, 30] Operation: 35-5=30
Moving to Node #0,1
Current State: 64:[74, 35, 8], Operations: ['79-71=8']
Exploring Operation: 35-8=27, Resulting Numbers: [74, 27]
Generated Node #0,1,0: 64:[74, 27] Operation: 35-8=27
Exploring Operation: 74-35=39, Resulting Numbers: [8, 39]
Generated Node #0,1,1: 64:[8, 39] Operation: 74-35=39
Exploring Operation: 74+8=82, Resulting Numbers: [35, 82]
Generated Node #0,1,2: 64:[35, 82] Operation: 74+8=82
Exploring Operation: 74-8=66, Resulting Numbers: [35, 66]
Generated Node #0,1,3: 64:[35, 66] Operation: 74-8=66
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 64:[35, 66], Operations: ['79-71=8', '74-8=66']
Exploring Operation: 35*66=2310, Resulting Numbers: [2310]
2310,64 unequal: No Solution
Exploring Operation: 35+66=101, Resulting Numbers: [101]
101,64 unequal: No Solution
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[8, 39], Operations: ['79-71=8', '74-35=39']
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,64 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[74, 27], Operations: ['79-71=8', '35-8=27']
Exploring Operation: 74+27=101, Resulting Numbers: [101]
101,64 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,64 unequal: No Solution
Exploring Operation: 74*27=1998, Resulting Numbers: [1998]
1998,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 64:[35, 82], Operations: ['79-71=8', '74+8=82']
Exploring Operation: 35+82=117, Resulting Numbers: [117]
117,64 unequal: No Solution
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,64 unequal: No Solution
Exploring Operation: 35*82=2870, Resulting Numbers: [2870]
2870,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 64:[79, 35, 3], Operations: ['74-71=3']
Exploring Operation: 79+3=82, Resulting Numbers: [35, 82]
Generated Node #0,2,0: 64:[35, 82] Operation: 79+3=82
Exploring Operation: 79-3=76, Resulting Numbers: [35, 76]
Generated Node #0,2,1: 64:[35, 76] Operation: 79-3=76
Exploring Operation: 35-3=32, Resulting Numbers: [79, 32]
Generated Node #0,2,2: 64:[79, 32] Operation: 35-3=32
Exploring Operation: 79-35=44, Resulting Numbers: [3, 44]
Generated Node #0,2,3: 64:[3, 44] Operation: 79-35=44
Moving to Node #0,0
Current State: 64:[71, 79, 39], Operations: ['74-35=39']
Exploring Operation: 79-71=8, Resulting Numbers: [39, 8]
Generated Node #0,0,0: 64:[39, 8] Operation: 79-71=8
Exploring Operation: 71-39=32, Resulting Numbers: [79, 32]
Generated Node #0,0,1: 64:[79, 32] Operation: 71-39=32
Exploring Operation: 71+39=110, Resulting Numbers: [79, 110]
Generated Node #0,0,2: 64:[79, 110] Operation: 71+39=110
Exploring Operation: 79-39=40, Resulting Numbers: [71, 40]
Generated Node #0,0,3: 64:[71, 40] Operation: 79-39=40
Moving to Node #0,3,0
Current State: 64:[5, 36], Operations: ['79-74=5', '71-35=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,64 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,64 unequal: No Solution
Moving to Node #0,3,2
Current State: 64:[35, 66], Operations: ['79-74=5', '71-5=66']
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 35*66=2310, Resulting Numbers: [2310]
2310,64 unequal: No Solution
Exploring Operation: 35+66=101, Resulting Numbers: [101]
101,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[39, 8], Operations: ['74-35=39', '79-71=8']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,64 unequal: No Solution
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,64 unequal: No Solution
Moving to Node #0,3,1
Current State: 64:[71, 7], Operations: ['79-74=5', '35/5=7']
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,64 unequal: No Solution
Exploring Operation: 71*7=497, Resulting Numbers: [497]
497,64 unequal: No Solution
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[74, 71, 79, 35], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [71, 35, 5]
Generated Node #0,3: 64:[71, 35, 5] Operation: 79-74=5
Moving to Node #0,3
Current State: 64:[71, 35, 5], Operations: ['79-74=5']
Exploring Operation: 35/5=7, Resulting Numbers: [71, 7]
Generated Node #0,3,1: 64:[71, 7] Operation: 35/5=7
Moving to Node #0,3,1
Current State: 64:[71, 7], Operations: ['79-74=5', '35/5=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.958333 |
hs_4
|
mult_heuristic
|
[
25,
91,
2,
28
] | 47 |
[
"91-25=66",
"28+66=94",
"94/2=47"
] |
Current State: 47:[25, 91, 2, 28], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [2, 28, 66]
Generated Node #2: [2, 28, 66] from Operation: 91-25=66
Current State: 47:[2, 28, 66], Operations: ['91-25=66']
Exploring Operation: 28+66=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 28+66=94
Current State: 47:[2, 94], Operations: ['91-25=66', '28+66=94']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[25, 91, 2, 28], Operations: []
Exploring Operation: 25*2=50, Resulting Numbers: [91, 28, 50]
Generated Node #0,0: 47:[91, 28, 50] Operation: 25*2=50
Exploring Operation: 2*28=56, Resulting Numbers: [25, 91, 56]
Generated Node #0,1: 47:[25, 91, 56] Operation: 2*28=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[91, 28, 50], Operations: ['25*2=50']
Exploring Operation: 91-50=41, Resulting Numbers: [28, 41]
Generated Node #0,0,0: 47:[28, 41] Operation: 91-50=41
Exploring Operation: 91-28=63, Resulting Numbers: [50, 63]
Generated Node #0,0,1: 47:[50, 63] Operation: 91-28=63
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[50, 63], Operations: ['25*2=50', '91-28=63']
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 50+63=113, Resulting Numbers: [113]
113,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[28, 41], Operations: ['25*2=50', '91-50=41']
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 28+41=69, Resulting Numbers: [69]
69,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[25, 91, 56], Operations: ['2*28=56']
Exploring Operation: 91-56=35, Resulting Numbers: [25, 35]
Generated Node #0,1,0: 47:[25, 35] Operation: 91-56=35
Exploring Operation: 91-25=66, Resulting Numbers: [56, 66]
Generated Node #0,1,1: 47:[56, 66] Operation: 91-25=66
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[56, 66], Operations: ['2*28=56', '91-25=66']
Exploring Operation: 56+66=122, Resulting Numbers: [122]
122,47 unequal: No Solution
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[25, 35], Operations: ['2*28=56', '91-56=35']
Exploring Operation: 25+35=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
87,
48,
16,
4
] | 19 |
[
"87-48=39",
"16+4=20",
"39-20=19"
] |
Current State: 19:[87, 48, 16, 4], Operations: []
Exploring Operation: 87-48=39, Resulting Numbers: [16, 4, 39]
Generated Node #2: [16, 4, 39] from Operation: 87-48=39
Current State: 19:[16, 4, 39], Operations: ['87-48=39']
Exploring Operation: 16+4=20, Resulting Numbers: [39, 20]
Generated Node #3: [39, 20] from Operation: 16+4=20
Current State: 19:[39, 20], Operations: ['87-48=39', '16+4=20']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[87, 48, 16, 4], Operations: []
Exploring Operation: 48-16=32, Resulting Numbers: [87, 4, 32]
Generated Node #0,0: 19:[87, 4, 32] Operation: 48-16=32
Exploring Operation: 87-48=39, Resulting Numbers: [16, 4, 39]
Generated Node #0,1: 19:[16, 4, 39] Operation: 87-48=39
Exploring Operation: 48/4=12, Resulting Numbers: [87, 16, 12]
Generated Node #0,2: 19:[87, 16, 12] Operation: 48/4=12
Exploring Operation: 87-16=71, Resulting Numbers: [48, 4, 71]
Generated Node #0,3: 19:[48, 4, 71] Operation: 87-16=71
Exploring Operation: 87-4=83, Resulting Numbers: [48, 16, 83]
Generated Node #0,4: 19:[48, 16, 83] Operation: 87-4=83
Moving to Node #0,1
Current State: 19:[16, 4, 39], Operations: ['87-48=39']
Exploring Operation: 39-4=35, Resulting Numbers: [16, 35]
Generated Node #0,1,0: 19:[16, 35] Operation: 39-4=35
Exploring Operation: 4+39=43, Resulting Numbers: [16, 43]
Generated Node #0,1,1: 19:[16, 43] Operation: 4+39=43
Exploring Operation: 16-4=12, Resulting Numbers: [39, 12]
Generated Node #0,1,2: 19:[39, 12] Operation: 16-4=12
Exploring Operation: 39-16=23, Resulting Numbers: [4, 23]
Generated Node #0,1,3: 19:[4, 23] Operation: 39-16=23
Exploring Operation: 16+4=20, Resulting Numbers: [39, 20]
Generated Node #0,1,4: 19:[39, 20] Operation: 16+4=20
Moving to Node #0,2
Current State: 19:[87, 16, 12], Operations: ['48/4=12']
Exploring Operation: 87-12=75, Resulting Numbers: [16, 75]
Generated Node #0,2,0: 19:[16, 75] Operation: 87-12=75
Exploring Operation: 16+12=28, Resulting Numbers: [87, 28]
Generated Node #0,2,1: 19:[87, 28] Operation: 16+12=28
Exploring Operation: 87+12=99, Resulting Numbers: [16, 99]
Generated Node #0,2,2: 19:[16, 99] Operation: 87+12=99
Exploring Operation: 16-12=4, Resulting Numbers: [87, 4]
Generated Node #0,2,3: 19:[87, 4] Operation: 16-12=4
Exploring Operation: 87-16=71, Resulting Numbers: [12, 71]
Generated Node #0,2,4: 19:[12, 71] Operation: 87-16=71
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 19:[16, 75], Operations: ['48/4=12', '87-12=75']
Exploring Operation: 16+75=91, Resulting Numbers: [91]
91,19 unequal: No Solution
Exploring Operation: 16*75=1200, Resulting Numbers: [1200]
1200,19 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 19:[12, 71], Operations: ['48/4=12', '87-16=71']
Exploring Operation: 12+71=83, Resulting Numbers: [83]
83,19 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 12*71=852, Resulting Numbers: [852]
852,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 19:[87, 28], Operations: ['48/4=12', '16+12=28']
Exploring Operation: 87+28=115, Resulting Numbers: [115]
115,19 unequal: No Solution
Exploring Operation: 87*28=2436, Resulting Numbers: [2436]
2436,19 unequal: No Solution
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 19:[16, 99], Operations: ['48/4=12', '87+12=99']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,19 unequal: No Solution
Exploring Operation: 16*99=1584, Resulting Numbers: [1584]
1584,19 unequal: No Solution
Exploring Operation: 16+99=115, Resulting Numbers: [115]
115,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 19:[87, 4], Operations: ['48/4=12', '16-12=4']
Exploring Operation: 87*4=348, Resulting Numbers: [348]
348,19 unequal: No Solution
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,19 unequal: No Solution
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 19:[87, 4, 32], Operations: ['48-16=32']
Exploring Operation: 87+4=91, Resulting Numbers: [32, 91]
Generated Node #0,0,0: 19:[32, 91] Operation: 87+4=91
Exploring Operation: 32-4=28, Resulting Numbers: [87, 28]
Generated Node #0,0,1: 19:[87, 28] Operation: 32-4=28
Exploring Operation: 87-32=55, Resulting Numbers: [4, 55]
Generated Node #0,0,2: 19:[4, 55] Operation: 87-32=55
Exploring Operation: 87-4=83, Resulting Numbers: [32, 83]
Generated Node #0,0,3: 19:[32, 83] Operation: 87-4=83
Exploring Operation: 32/4=8, Resulting Numbers: [87, 8]
Generated Node #0,0,4: 19:[87, 8] Operation: 32/4=8
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 19:[4, 55], Operations: ['48-16=32', '87-32=55']
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,19 unequal: No Solution
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[87, 28], Operations: ['48-16=32', '32-4=28']
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 87+28=115, Resulting Numbers: [115]
115,19 unequal: No Solution
Exploring Operation: 87*28=2436, Resulting Numbers: [2436]
2436,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 19:[32, 83], Operations: ['48-16=32', '87-4=83']
Exploring Operation: 83-32=51, Resulting Numbers: [51]
51,19 unequal: No Solution
Exploring Operation: 32+83=115, Resulting Numbers: [115]
115,19 unequal: No Solution
Exploring Operation: 32*83=2656, Resulting Numbers: [2656]
2656,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 19:[87, 8], Operations: ['48-16=32', '32/4=8']
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,19 unequal: No Solution
Exploring Operation: 87*8=696, Resulting Numbers: [696]
696,19 unequal: No Solution
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[32, 91], Operations: ['48-16=32', '87+4=91']
Exploring Operation: 32*91=2912, Resulting Numbers: [2912]
2912,19 unequal: No Solution
Exploring Operation: 32+91=123, Resulting Numbers: [123]
123,19 unequal: No Solution
Exploring Operation: 91-32=59, Resulting Numbers: [59]
59,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 19:[48, 4, 71], Operations: ['87-16=71']
Exploring Operation: 48+4=52, Resulting Numbers: [71, 52]
Generated Node #0,3,0: 19:[71, 52] Operation: 48+4=52
Exploring Operation: 48-4=44, Resulting Numbers: [71, 44]
Generated Node #0,3,1: 19:[71, 44] Operation: 48-4=44
Exploring Operation: 71-48=23, Resulting Numbers: [4, 23]
Generated Node #0,3,2: 19:[4, 23] Operation: 71-48=23
Exploring Operation: 48/4=12, Resulting Numbers: [71, 12]
Generated Node #0,3,3: 19:[71, 12] Operation: 48/4=12
Exploring Operation: 71-4=67, Resulting Numbers: [48, 67]
Generated Node #0,3,4: 19:[48, 67] Operation: 71-4=67
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 19:[4, 23], Operations: ['87-16=71', '71-48=23']
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[87, 48, 16, 4], Operations: []
Exploring Operation: 87-16=71, Resulting Numbers: [48, 4, 71]
Generated Node #0,3: 19:[48, 4, 71] Operation: 87-16=71
Moving to Node #0,3
Current State: 19:[48, 4, 71], Operations: ['87-16=71']
Exploring Operation: 71-48=23, Resulting Numbers: [4, 23]
Generated Node #0,3,2: 19:[4, 23] Operation: 71-48=23
Moving to Node #0,3,2
Current State: 19:[4, 23], Operations: ['87-16=71', '71-48=23']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.947049 |
hs_5
|
sum_heuristic
|
[
3,
52,
14,
27
] | 14 |
[
"3+52=55",
"14+27=41",
"55-41=14"
] |
Current State: 14:[3, 52, 14, 27], Operations: []
Exploring Operation: 3+52=55, Resulting Numbers: [14, 27, 55]
Generated Node #2: [14, 27, 55] from Operation: 3+52=55
Current State: 14:[14, 27, 55], Operations: ['3+52=55']
Exploring Operation: 14+27=41, Resulting Numbers: [55, 41]
Generated Node #3: [55, 41] from Operation: 14+27=41
Current State: 14:[55, 41], Operations: ['3+52=55', '14+27=41']
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
Current State: 14:[3, 52, 14, 27], Operations: []
Exploring Operation: 52-27=25, Resulting Numbers: [3, 14, 25]
Generated Node #0,0: 14:[3, 14, 25] Operation: 52-27=25
Exploring Operation: 52-14=38, Resulting Numbers: [3, 27, 38]
Generated Node #0,1: 14:[3, 27, 38] Operation: 52-14=38
Moving to Node #0,0
Current State: 14:[3, 14, 25], Operations: ['52-27=25']
Exploring Operation: 25-14=11, Resulting Numbers: [3, 11]
Generated Node #0,0,0: 14:[3, 11] Operation: 25-14=11
Exploring Operation: 25-3=22, Resulting Numbers: [14, 22]
Generated Node #0,0,1: 14:[14, 22] Operation: 25-3=22
Moving to Node #0,1
Current State: 14:[3, 27, 38], Operations: ['52-14=38']
Exploring Operation: 38-27=11, Resulting Numbers: [3, 11]
Generated Node #0,1,0: 14:[3, 11] Operation: 38-27=11
Exploring Operation: 27/3=9, Resulting Numbers: [38, 9]
Generated Node #0,1,1: 14:[38, 9] Operation: 27/3=9
Moving to Node #0,0,0
Current State: 14:[3, 11], Operations: ['52-27=25', '25-14=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[3, 52, 14, 27], Operations: []
Exploring Operation: 52-27=25, Resulting Numbers: [3, 14, 25]
Generated Node #0,0: 14:[3, 14, 25] Operation: 52-27=25
Moving to Node #0,0
Current State: 14:[3, 14, 25], Operations: ['52-27=25']
Exploring Operation: 25-14=11, Resulting Numbers: [3, 11]
Generated Node #0,0,0: 14:[3, 11] Operation: 25-14=11
Moving to Node #0,0,0
Current State: 14:[3, 11], Operations: ['52-27=25', '25-14=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.990451 |
hs_2
|
mult_heuristic
|
[
55,
51,
81,
3
] | 79 |
[
"55+51=106",
"81/3=27",
"106-27=79"
] |
Current State: 79:[55, 51, 81, 3], Operations: []
Exploring Operation: 55+51=106, Resulting Numbers: [81, 3, 106]
Generated Node #2: [81, 3, 106] from Operation: 55+51=106
Current State: 79:[81, 3, 106], Operations: ['55+51=106']
Exploring Operation: 81/3=27, Resulting Numbers: [106, 27]
Generated Node #3: [106, 27] from Operation: 81/3=27
Current State: 79:[106, 27], Operations: ['55+51=106', '81/3=27']
Exploring Operation: 106-27=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[55, 51, 81, 3], Operations: []
Exploring Operation: 55-3=52, Resulting Numbers: [51, 81, 52]
Generated Node #0,0: 79:[51, 81, 52] Operation: 55-3=52
Exploring Operation: 51+3=54, Resulting Numbers: [55, 81, 54]
Generated Node #0,1: 79:[55, 81, 54] Operation: 51+3=54
Exploring Operation: 55+3=58, Resulting Numbers: [51, 81, 58]
Generated Node #0,2: 79:[51, 81, 58] Operation: 55+3=58
Exploring Operation: 81-3=78, Resulting Numbers: [55, 51, 78]
Generated Node #0,3: 79:[55, 51, 78] Operation: 81-3=78
Moving to Node #0,1
Current State: 79:[55, 81, 54], Operations: ['51+3=54']
Exploring Operation: 81-54=27, Resulting Numbers: [55, 27]
Generated Node #0,1,0: 79:[55, 27] Operation: 81-54=27
Exploring Operation: 55+54=109, Resulting Numbers: [81, 109]
Generated Node #0,1,1: 79:[81, 109] Operation: 55+54=109
Exploring Operation: 55-54=1, Resulting Numbers: [81, 1]
Generated Node #0,1,2: 79:[81, 1] Operation: 55-54=1
Exploring Operation: 81-55=26, Resulting Numbers: [54, 26]
Generated Node #0,1,3: 79:[54, 26] Operation: 81-55=26
Moving to Node #0,2
Current State: 79:[51, 81, 58], Operations: ['55+3=58']
Exploring Operation: 81-51=30, Resulting Numbers: [58, 30]
Generated Node #0,2,0: 79:[58, 30] Operation: 81-51=30
Exploring Operation: 51+81=132, Resulting Numbers: [58, 132]
Generated Node #0,2,1: 79:[58, 132] Operation: 51+81=132
Exploring Operation: 51+58=109, Resulting Numbers: [81, 109]
Generated Node #0,2,2: 79:[81, 109] Operation: 51+58=109
Exploring Operation: 58-51=7, Resulting Numbers: [81, 7]
Generated Node #0,2,3: 79:[81, 7] Operation: 58-51=7
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[81, 109], Operations: ['55+3=58', '51+58=109']
Exploring Operation: 81*109=8829, Resulting Numbers: [8829]
8829,79 unequal: No Solution
Exploring Operation: 81+109=190, Resulting Numbers: [190]
190,79 unequal: No Solution
Exploring Operation: 109-81=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[58, 30], Operations: ['55+3=58', '81-51=30']
Exploring Operation: 58*30=1740, Resulting Numbers: [1740]
1740,79 unequal: No Solution
Exploring Operation: 58-30=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[58, 132], Operations: ['55+3=58', '51+81=132']
Exploring Operation: 132-58=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 58+132=190, Resulting Numbers: [190]
190,79 unequal: No Solution
Exploring Operation: 58*132=7656, Resulting Numbers: [7656]
7656,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[81, 7], Operations: ['55+3=58', '58-51=7']
Exploring Operation: 81*7=567, Resulting Numbers: [567]
567,79 unequal: No Solution
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 81+7=88, Resulting Numbers: [88]
88,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 79:[55, 51, 78], Operations: ['81-3=78']
Exploring Operation: 51+78=129, Resulting Numbers: [55, 129]
Generated Node #0,3,0: 79:[55, 129] Operation: 51+78=129
Exploring Operation: 55-51=4, Resulting Numbers: [78, 4]
Generated Node #0,3,1: 79:[78, 4] Operation: 55-51=4
Exploring Operation: 78-51=27, Resulting Numbers: [55, 27]
Generated Node #0,3,2: 79:[55, 27] Operation: 78-51=27
Exploring Operation: 55+51=106, Resulting Numbers: [78, 106]
Generated Node #0,3,3: 79:[78, 106] Operation: 55+51=106
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 79:[78, 106], Operations: ['81-3=78', '55+51=106']
Exploring Operation: 78*106=8268, Resulting Numbers: [8268]
8268,79 unequal: No Solution
Exploring Operation: 78+106=184, Resulting Numbers: [184]
184,79 unequal: No Solution
Exploring Operation: 106-78=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 79:[55, 129], Operations: ['81-3=78', '51+78=129']
Exploring Operation: 129-55=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 55+129=184, Resulting Numbers: [184]
184,79 unequal: No Solution
Exploring Operation: 55*129=7095, Resulting Numbers: [7095]
7095,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 79:[78, 4], Operations: ['81-3=78', '55-51=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,79 unequal: No Solution
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,79 unequal: No Solution
Exploring Operation: 78*4=312, Resulting Numbers: [312]
312,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 79:[55, 27], Operations: ['81-3=78', '78-51=27']
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,79 unequal: No Solution
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,79 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 79:[51, 81, 52], Operations: ['55-3=52']
Exploring Operation: 81-52=29, Resulting Numbers: [51, 29]
Generated Node #0,0,0: 79:[51, 29] Operation: 81-52=29
Exploring Operation: 51+52=103, Resulting Numbers: [81, 103]
Generated Node #0,0,1: 79:[81, 103] Operation: 51+52=103
Exploring Operation: 81-51=30, Resulting Numbers: [52, 30]
Generated Node #0,0,2: 79:[52, 30] Operation: 81-51=30
Exploring Operation: 51+81=132, Resulting Numbers: [52, 132]
Generated Node #0,0,3: 79:[52, 132] Operation: 51+81=132
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[81, 103], Operations: ['55-3=52', '51+52=103']
Exploring Operation: 81+103=184, Resulting Numbers: [184]
184,79 unequal: No Solution
Exploring Operation: 103-81=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 81*103=8343, Resulting Numbers: [8343]
8343,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[52, 30], Operations: ['55-3=52', '81-51=30']
Exploring Operation: 52*30=1560, Resulting Numbers: [1560]
1560,79 unequal: No Solution
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[51, 29], Operations: ['55-3=52', '81-52=29']
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 51*29=1479, Resulting Numbers: [1479]
1479,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 79:[52, 132], Operations: ['55-3=52', '51+81=132']
Exploring Operation: 52+132=184, Resulting Numbers: [184]
184,79 unequal: No Solution
Exploring Operation: 132-52=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 52*132=6864, Resulting Numbers: [6864]
6864,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 79:[81, 109], Operations: ['51+3=54', '55+54=109']
Exploring Operation: 81+109=190, Resulting Numbers: [190]
190,79 unequal: No Solution
Exploring Operation: 81*109=8829, Resulting Numbers: [8829]
8829,79 unequal: No Solution
Exploring Operation: 109-81=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[55, 27], Operations: ['51+3=54', '81-54=27']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,79 unequal: No Solution
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[54, 26], Operations: ['51+3=54', '81-55=26']
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 54*26=1404, Resulting Numbers: [1404]
1404,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[81, 1], Operations: ['51+3=54', '55-54=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,79 unequal: No Solution
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,79 unequal: No Solution
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,79 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
26,
21,
66,
25
] | 46 |
[
"26-21=5",
"66-25=41",
"5+41=46"
] |
Current State: 46:[26, 21, 66, 25], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [66, 25, 5]
Generated Node #2: [66, 25, 5] from Operation: 26-21=5
Current State: 46:[66, 25, 5], Operations: ['26-21=5']
Exploring Operation: 66-25=41, Resulting Numbers: [5, 41]
Generated Node #3: [5, 41] from Operation: 66-25=41
Current State: 46:[5, 41], Operations: ['26-21=5', '66-25=41']
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[26, 21, 66, 25], Operations: []
Exploring Operation: 66-26=40, Resulting Numbers: [21, 25, 40]
Generated Node #0,0: 46:[21, 25, 40] Operation: 66-26=40
Exploring Operation: 26-25=1, Resulting Numbers: [21, 66, 1]
Generated Node #0,1: 46:[21, 66, 1] Operation: 26-25=1
Exploring Operation: 66-25=41, Resulting Numbers: [26, 21, 41]
Generated Node #0,2: 46:[26, 21, 41] Operation: 66-25=41
Exploring Operation: 66-21=45, Resulting Numbers: [26, 25, 45]
Generated Node #0,3: 46:[26, 25, 45] Operation: 66-21=45
Exploring Operation: 26+21=47, Resulting Numbers: [66, 25, 47]
Generated Node #0,4: 46:[66, 25, 47] Operation: 26+21=47
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[26, 25, 45], Operations: ['66-21=45']
Exploring Operation: 26-25=1, Resulting Numbers: [45, 1]
Generated Node #0,3,0: 46:[45, 1] Operation: 26-25=1
Exploring Operation: 45-25=20, Resulting Numbers: [26, 20]
Generated Node #0,3,1: 46:[26, 20] Operation: 45-25=20
Exploring Operation: 26+45=71, Resulting Numbers: [25, 71]
Generated Node #0,3,2: 46:[25, 71] Operation: 26+45=71
Exploring Operation: 26+25=51, Resulting Numbers: [45, 51]
Generated Node #0,3,3: 46:[45, 51] Operation: 26+25=51
Exploring Operation: 45-26=19, Resulting Numbers: [25, 19]
Generated Node #0,3,4: 46:[25, 19] Operation: 45-26=19
Moving to Node #0,3,0
Current State: 46:[45, 1], Operations: ['66-21=45', '26-25=1']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[26, 21, 66, 25], Operations: []
Exploring Operation: 66-21=45, Resulting Numbers: [26, 25, 45]
Generated Node #0,3: 46:[26, 25, 45] Operation: 66-21=45
Moving to Node #0,3
Current State: 46:[26, 25, 45], Operations: ['66-21=45']
Exploring Operation: 26-25=1, Resulting Numbers: [45, 1]
Generated Node #0,3,0: 46:[45, 1] Operation: 26-25=1
Moving to Node #0,3,0
Current State: 46:[45, 1], Operations: ['66-21=45', '26-25=1']
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_5
|
mult_heuristic
|
[
44,
97,
9,
54
] | 47 |
[
"97-44=53",
"54/9=6",
"53-6=47"
] |
Current State: 47:[44, 97, 9, 54], Operations: []
Exploring Operation: 97-44=53, Resulting Numbers: [9, 54, 53]
Generated Node #2: [9, 54, 53] from Operation: 97-44=53
Current State: 47:[9, 54, 53], Operations: ['97-44=53']
Exploring Operation: 54/9=6, Resulting Numbers: [53, 6]
Generated Node #3: [53, 6] from Operation: 54/9=6
Current State: 47:[53, 6], Operations: ['97-44=53', '54/9=6']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[44, 97, 9, 54], Operations: []
Exploring Operation: 97-54=43, Resulting Numbers: [44, 9, 43]
Generated Node #0,0: 47:[44, 9, 43] Operation: 97-54=43
Exploring Operation: 97-44=53, Resulting Numbers: [9, 54, 53]
Generated Node #0,1: 47:[9, 54, 53] Operation: 97-44=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[44, 9, 43], Operations: ['97-54=43']
Exploring Operation: 44+9=53, Resulting Numbers: [43, 53]
Generated Node #0,0,0: 47:[43, 53] Operation: 44+9=53
Exploring Operation: 9+43=52, Resulting Numbers: [44, 52]
Generated Node #0,0,1: 47:[44, 52] Operation: 9+43=52
Moving to Node #0,0,1
Current State: 47:[44, 52], Operations: ['97-54=43', '9+43=52']
Exploring Operation: 44+52=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[43, 53], Operations: ['97-54=43', '44+9=53']
Exploring Operation: 43+53=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Exploring Operation: 53-43=10, Resulting Numbers: [10]
10,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[9, 54, 53], Operations: ['97-44=53']
Exploring Operation: 53-9=44, Resulting Numbers: [54, 44]
Generated Node #0,1,0: 47:[54, 44] Operation: 53-9=44
Exploring Operation: 54-9=45, Resulting Numbers: [53, 45]
Generated Node #0,1,1: 47:[53, 45] Operation: 54-9=45
Moving to Node #0,1,1
Current State: 47:[53, 45], Operations: ['97-44=53', '54-9=45']
Exploring Operation: 53-45=8, Resulting Numbers: [8]
8,47 unequal: No Solution
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[54, 44], Operations: ['97-44=53', '53-9=44']
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
25,
61,
14,
88
] | 69 |
[
"25-14=11",
"88/11=8",
"61+8=69"
] |
Current State: 69:[25, 61, 14, 88], Operations: []
Exploring Operation: 25-14=11, Resulting Numbers: [61, 88, 11]
Generated Node #2: [61, 88, 11] from Operation: 25-14=11
Current State: 69:[61, 88, 11], Operations: ['25-14=11']
Exploring Operation: 88/11=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 88/11=8
Current State: 69:[61, 8], Operations: ['25-14=11', '88/11=8']
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[25, 61, 14, 88], Operations: []
Exploring Operation: 88-14=74, Resulting Numbers: [25, 61, 74]
Generated Node #0,0: 69:[25, 61, 74] Operation: 88-14=74
Exploring Operation: 88-25=63, Resulting Numbers: [61, 14, 63]
Generated Node #0,1: 69:[61, 14, 63] Operation: 88-25=63
Exploring Operation: 88-61=27, Resulting Numbers: [25, 14, 27]
Generated Node #0,2: 69:[25, 14, 27] Operation: 88-61=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[25, 61, 74], Operations: ['88-14=74']
Exploring Operation: 25+61=86, Resulting Numbers: [74, 86]
Generated Node #0,0,0: 69:[74, 86] Operation: 25+61=86
Exploring Operation: 61-25=36, Resulting Numbers: [74, 36]
Generated Node #0,0,1: 69:[74, 36] Operation: 61-25=36
Exploring Operation: 74-61=13, Resulting Numbers: [25, 13]
Generated Node #0,0,2: 69:[25, 13] Operation: 74-61=13
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[25, 13], Operations: ['88-14=74', '74-61=13']
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,69 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 69:[74, 36], Operations: ['88-14=74', '61-25=36']
Exploring Operation: 74+36=110, Resulting Numbers: [110]
110,69 unequal: No Solution
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 74*36=2664, Resulting Numbers: [2664]
2664,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[74, 86], Operations: ['88-14=74', '25+61=86']
Exploring Operation: 74+86=160, Resulting Numbers: [160]
160,69 unequal: No Solution
Exploring Operation: 74*86=6364, Resulting Numbers: [6364]
6364,69 unequal: No Solution
Exploring Operation: 86-74=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[25, 14, 27], Operations: ['88-61=27']
Exploring Operation: 27-14=13, Resulting Numbers: [25, 13]
Generated Node #0,2,0: 69:[25, 13] Operation: 27-14=13
Exploring Operation: 27-25=2, Resulting Numbers: [14, 2]
Generated Node #0,2,1: 69:[14, 2] Operation: 27-25=2
Exploring Operation: 25-14=11, Resulting Numbers: [27, 11]
Generated Node #0,2,2: 69:[27, 11] Operation: 25-14=11
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 69:[14, 2], Operations: ['88-61=27', '27-25=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,69 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 69:[25, 13], Operations: ['88-61=27', '27-14=13']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,69 unequal: No Solution
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 69:[27, 11], Operations: ['88-61=27', '25-14=11']
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,69 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[61, 14, 63], Operations: ['88-25=63']
Exploring Operation: 14+63=77, Resulting Numbers: [61, 77]
Generated Node #0,1,0: 69:[61, 77] Operation: 14+63=77
Exploring Operation: 61+14=75, Resulting Numbers: [63, 75]
Generated Node #0,1,1: 69:[63, 75] Operation: 61+14=75
Exploring Operation: 63-61=2, Resulting Numbers: [14, 2]
Generated Node #0,1,2: 69:[14, 2] Operation: 63-61=2
Moving to Node #0,1,2
Current State: 69:[14, 2], Operations: ['88-25=63', '63-61=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[63, 75], Operations: ['88-25=63', '61+14=75']
Exploring Operation: 63+75=138, Resulting Numbers: [138]
138,69 unequal: No Solution
Exploring Operation: 63*75=4725, Resulting Numbers: [4725]
4725,69 unequal: No Solution
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[61, 77], Operations: ['88-25=63', '14+63=77']
Exploring Operation: 61+77=138, Resulting Numbers: [138]
138,69 unequal: No Solution
Exploring Operation: 77-61=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 61*77=4697, Resulting Numbers: [4697]
4697,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
14,
95,
93,
54
] | 38 |
[
"14+95=109",
"93+54=147",
"147-109=38"
] |
Current State: 38:[14, 95, 93, 54], Operations: []
Exploring Operation: 14+95=109, Resulting Numbers: [93, 54, 109]
Generated Node #2: [93, 54, 109] from Operation: 14+95=109
Current State: 38:[93, 54, 109], Operations: ['14+95=109']
Exploring Operation: 93+54=147, Resulting Numbers: [109, 147]
Generated Node #3: [109, 147] from Operation: 93+54=147
Current State: 38:[109, 147], Operations: ['14+95=109', '93+54=147']
Exploring Operation: 147-109=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
Current State: 38:[14, 95, 93, 54], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [14, 54, 2]
Generated Node #0,0: 38:[14, 54, 2] Operation: 95-93=2
Exploring Operation: 93-54=39, Resulting Numbers: [14, 95, 39]
Generated Node #0,1: 38:[14, 95, 39] Operation: 93-54=39
Exploring Operation: 95-54=41, Resulting Numbers: [14, 93, 41]
Generated Node #0,2: 38:[14, 93, 41] Operation: 95-54=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[14, 54, 2], Operations: ['95-93=2']
Exploring Operation: 54-14=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 38:[2, 40] Operation: 54-14=40
Exploring Operation: 54/2=27, Resulting Numbers: [14, 27]
Generated Node #0,0,1: 38:[14, 27] Operation: 54/2=27
Exploring Operation: 14+2=16, Resulting Numbers: [54, 16]
Generated Node #0,0,2: 38:[54, 16] Operation: 14+2=16
Moving to Node #0,0,0
Current State: 38:[2, 40], Operations: ['95-93=2', '54-14=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[14, 95, 93, 54], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [14, 54, 2]
Generated Node #0,0: 38:[14, 54, 2] Operation: 95-93=2
Moving to Node #0,0
Current State: 38:[14, 54, 2], Operations: ['95-93=2']
Exploring Operation: 54-14=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 38:[2, 40] Operation: 54-14=40
Moving to Node #0,0,0
Current State: 38:[2, 40], Operations: ['95-93=2', '54-14=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_3
|
mult_heuristic
|
[
4,
96,
45,
61
] | 32 |
[
"61-45=16",
"4*16=64",
"96-64=32"
] |
Current State: 32:[4, 96, 45, 61], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [4, 96, 16]
Generated Node #2: [4, 96, 16] from Operation: 61-45=16
Current State: 32:[4, 96, 16], Operations: ['61-45=16']
Exploring Operation: 4*16=64, Resulting Numbers: [96, 64]
Generated Node #3: [96, 64] from Operation: 4*16=64
Current State: 32:[96, 64], Operations: ['61-45=16', '4*16=64']
Exploring Operation: 96-64=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[4, 96, 45, 61], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [4, 96, 16]
Generated Node #0,0: 32:[4, 96, 16] Operation: 61-45=16
Exploring Operation: 96-45=51, Resulting Numbers: [4, 61, 51]
Generated Node #0,1: 32:[4, 61, 51] Operation: 96-45=51
Exploring Operation: 96-4=92, Resulting Numbers: [45, 61, 92]
Generated Node #0,2: 32:[45, 61, 92] Operation: 96-4=92
Exploring Operation: 96-61=35, Resulting Numbers: [4, 45, 35]
Generated Node #0,3: 32:[4, 45, 35] Operation: 96-61=35
Exploring Operation: 96/4=24, Resulting Numbers: [45, 61, 24]
Generated Node #0,4: 32:[45, 61, 24] Operation: 96/4=24
Moving to Node #0,3
Current State: 32:[4, 45, 35], Operations: ['96-61=35']
Exploring Operation: 45-4=41, Resulting Numbers: [35, 41]
Generated Node #0,3,0: 32:[35, 41] Operation: 45-4=41
Exploring Operation: 4+45=49, Resulting Numbers: [35, 49]
Generated Node #0,3,1: 32:[35, 49] Operation: 4+45=49
Exploring Operation: 4+35=39, Resulting Numbers: [45, 39]
Generated Node #0,3,2: 32:[45, 39] Operation: 4+35=39
Exploring Operation: 35-4=31, Resulting Numbers: [45, 31]
Generated Node #0,3,3: 32:[45, 31] Operation: 35-4=31
Exploring Operation: 45-35=10, Resulting Numbers: [4, 10]
Generated Node #0,3,4: 32:[4, 10] Operation: 45-35=10
Moving to Node #0,1
Current State: 32:[4, 61, 51], Operations: ['96-45=51']
Exploring Operation: 61-51=10, Resulting Numbers: [4, 10]
Generated Node #0,1,0: 32:[4, 10] Operation: 61-51=10
Exploring Operation: 4+61=65, Resulting Numbers: [51, 65]
Generated Node #0,1,1: 32:[51, 65] Operation: 4+61=65
Exploring Operation: 51-4=47, Resulting Numbers: [61, 47]
Generated Node #0,1,2: 32:[61, 47] Operation: 51-4=47
Exploring Operation: 4+51=55, Resulting Numbers: [61, 55]
Generated Node #0,1,3: 32:[61, 55] Operation: 4+51=55
Exploring Operation: 61-4=57, Resulting Numbers: [51, 57]
Generated Node #0,1,4: 32:[51, 57] Operation: 61-4=57
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[4, 10], Operations: ['96-45=51', '61-51=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 32:[61, 47], Operations: ['96-45=51', '51-4=47']
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 61*47=2867, Resulting Numbers: [2867]
2867,32 unequal: No Solution
Exploring Operation: 61+47=108, Resulting Numbers: [108]
108,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 32:[51, 57], Operations: ['96-45=51', '61-4=57']
Exploring Operation: 51*57=2907, Resulting Numbers: [2907]
2907,32 unequal: No Solution
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 51+57=108, Resulting Numbers: [108]
108,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[51, 65], Operations: ['96-45=51', '4+61=65']
Exploring Operation: 51+65=116, Resulting Numbers: [116]
116,32 unequal: No Solution
Exploring Operation: 51*65=3315, Resulting Numbers: [3315]
3315,32 unequal: No Solution
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 32:[61, 55], Operations: ['96-45=51', '4+51=55']
Exploring Operation: 61*55=3355, Resulting Numbers: [3355]
3355,32 unequal: No Solution
Exploring Operation: 61+55=116, Resulting Numbers: [116]
116,32 unequal: No Solution
Exploring Operation: 61-55=6, Resulting Numbers: [6]
6,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 32:[45, 61, 24], Operations: ['96/4=24']
Exploring Operation: 61-24=37, Resulting Numbers: [45, 37]
Generated Node #0,4,0: 32:[45, 37] Operation: 61-24=37
Exploring Operation: 61-45=16, Resulting Numbers: [24, 16]
Generated Node #0,4,1: 32:[24, 16] Operation: 61-45=16
Exploring Operation: 45-24=21, Resulting Numbers: [61, 21]
Generated Node #0,4,2: 32:[61, 21] Operation: 45-24=21
Exploring Operation: 45+24=69, Resulting Numbers: [61, 69]
Generated Node #0,4,3: 32:[61, 69] Operation: 45+24=69
Exploring Operation: 61+24=85, Resulting Numbers: [45, 85]
Generated Node #0,4,4: 32:[45, 85] Operation: 61+24=85
Moving to Node #0,0
Current State: 32:[4, 96, 16], Operations: ['61-45=16']
Exploring Operation: 96/16=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 32:[4, 6] Operation: 96/16=6
Exploring Operation: 96-4=92, Resulting Numbers: [16, 92]
Generated Node #0,0,1: 32:[16, 92] Operation: 96-4=92
Exploring Operation: 96/4=24, Resulting Numbers: [16, 24]
Generated Node #0,0,2: 32:[16, 24] Operation: 96/4=24
Exploring Operation: 96-16=80, Resulting Numbers: [4, 80]
Generated Node #0,0,3: 32:[4, 80] Operation: 96-16=80
Exploring Operation: 16/4=4, Resulting Numbers: [96, 4]
Generated Node #0,0,4: 32:[96, 4] Operation: 16/4=4
Moving to Node #0,2
Current State: 32:[45, 61, 92], Operations: ['96-4=92']
Exploring Operation: 61-45=16, Resulting Numbers: [92, 16]
Generated Node #0,2,0: 32:[92, 16] Operation: 61-45=16
Exploring Operation: 92-61=31, Resulting Numbers: [45, 31]
Generated Node #0,2,1: 32:[45, 31] Operation: 92-61=31
Exploring Operation: 45+61=106, Resulting Numbers: [92, 106]
Generated Node #0,2,2: 32:[92, 106] Operation: 45+61=106
Exploring Operation: 92-45=47, Resulting Numbers: [61, 47]
Generated Node #0,2,3: 32:[61, 47] Operation: 92-45=47
Exploring Operation: 45+92=137, Resulting Numbers: [61, 137]
Generated Node #0,2,4: 32:[61, 137] Operation: 45+92=137
Moving to Node #0,3,4
Current State: 32:[4, 10], Operations: ['96-61=35', '45-35=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[4, 6], Operations: ['61-45=16', '96/16=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Moving to Node #0,4,1
Current State: 32:[24, 16], Operations: ['96/4=24', '61-45=16']
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,32 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Moving to Node #0,0,2
Current State: 32:[16, 24], Operations: ['61-45=16', '96/4=24']
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,32 unequal: No Solution
Moving to Node #0,3,0
Current State: 32:[35, 41], Operations: ['96-61=35', '45-4=41']
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,32 unequal: No Solution
Moving to Node #0,3,3
Current State: 32:[45, 31], Operations: ['96-61=35', '35-4=31']
Exploring Operation: 45*31=1395, Resulting Numbers: [1395]
1395,32 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 45+31=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Moving to Node #0,2,1
Current State: 32:[45, 31], Operations: ['96-4=92', '92-61=31']
Exploring Operation: 45+31=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 45*31=1395, Resulting Numbers: [1395]
1395,32 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Moving to Node #0,4,0
Current State: 32:[45, 37], Operations: ['96/4=24', '61-24=37']
Exploring Operation: 45*37=1665, Resulting Numbers: [1665]
1665,32 unequal: No Solution
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 45+37=82, Resulting Numbers: [82]
82,32 unequal: No Solution
Moving to Node #0,3,2
Current State: 32:[45, 39], Operations: ['96-61=35', '4+35=39']
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,32 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 45*39=1755, Resulting Numbers: [1755]
1755,32 unequal: No Solution
Moving to Node #0,3,1
Current State: 32:[35, 49], Operations: ['96-61=35', '4+45=49']
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,32 unequal: No Solution
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,32 unequal: No Solution
Moving to Node #0,4,2
Current State: 32:[61, 21], Operations: ['96/4=24', '45-24=21']
Exploring Operation: 61+21=82, Resulting Numbers: [82]
82,32 unequal: No Solution
Exploring Operation: 61*21=1281, Resulting Numbers: [1281]
1281,32 unequal: No Solution
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Moving to Node #0,2,3
Current State: 32:[61, 47], Operations: ['96-4=92', '92-45=47']
Exploring Operation: 61+47=108, Resulting Numbers: [108]
108,32 unequal: No Solution
Exploring Operation: 61*47=2867, Resulting Numbers: [2867]
2867,32 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Moving to Node #0,0,3
Current State: 32:[4, 80], Operations: ['61-45=16', '96-16=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,32 unequal: No Solution
Exploring Operation: 4*80=320, Resulting Numbers: [320]
320,32 unequal: No Solution
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[16, 92], Operations: ['61-45=16', '96-4=92']
Exploring Operation: 16+92=108, Resulting Numbers: [108]
108,32 unequal: No Solution
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 16*92=1472, Resulting Numbers: [1472]
1472,32 unequal: No Solution
Moving to Node #0,2,0
Current State: 32:[92, 16], Operations: ['96-4=92', '61-45=16']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Exploring Operation: 92+16=108, Resulting Numbers: [108]
108,32 unequal: No Solution
Exploring Operation: 92*16=1472, Resulting Numbers: [1472]
1472,32 unequal: No Solution
Moving to Node #0,0,4
Current State: 32:[96, 4], Operations: ['61-45=16', '16/4=4']
Exploring Operation: 96*4=384, Resulting Numbers: [384]
384,32 unequal: No Solution
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,32 unequal: No Solution
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,32 unequal: No Solution
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Moving to Node #0,4,4
Current State: 32:[45, 85], Operations: ['96/4=24', '61+24=85']
Exploring Operation: 45+85=130, Resulting Numbers: [130]
130,32 unequal: No Solution
Exploring Operation: 85-45=40, Resulting Numbers: [40]
40,32 unequal: No Solution
Exploring Operation: 45*85=3825, Resulting Numbers: [3825]
3825,32 unequal: No Solution
Moving to Node #0,4,3
Current State: 32:[61, 69], Operations: ['96/4=24', '45+24=69']
Exploring Operation: 61*69=4209, Resulting Numbers: [4209]
4209,32 unequal: No Solution
Exploring Operation: 69-61=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 61+69=130, Resulting Numbers: [130]
130,32 unequal: No Solution
Moving to Node #0,2,4
Current State: 32:[61, 137], Operations: ['96-4=92', '45+92=137']
Exploring Operation: 61*137=8357, Resulting Numbers: [8357]
8357,32 unequal: No Solution
Exploring Operation: 61+137=198, Resulting Numbers: [198]
198,32 unequal: No Solution
Exploring Operation: 137-61=76, Resulting Numbers: [76]
76,32 unequal: No Solution
Moving to Node #0,2,2
Current State: 32:[92, 106], Operations: ['96-4=92', '45+61=106']
Exploring Operation: 106-92=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 92+106=198, Resulting Numbers: [198]
198,32 unequal: No Solution
Exploring Operation: 92*106=9752, Resulting Numbers: [9752]
9752,32 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
66,
29,
44,
84
] | 27 |
[
"44*84=3696",
"3696/66=56",
"56-29=27"
] |
Current State: 27:[66, 29, 44, 84], Operations: []
Exploring Operation: 44*84=3696, Resulting Numbers: [66, 29, 3696]
Generated Node #2: [66, 29, 3696] from Operation: 44*84=3696
Current State: 27:[66, 29, 3696], Operations: ['44*84=3696']
Exploring Operation: 3696/66=56, Resulting Numbers: [29, 56]
Generated Node #3: [29, 56] from Operation: 3696/66=56
Current State: 27:[29, 56], Operations: ['44*84=3696', '3696/66=56']
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
Current State: 27:[66, 29, 44, 84], Operations: []
Exploring Operation: 84-66=18, Resulting Numbers: [29, 44, 18]
Generated Node #0,0: 27:[29, 44, 18] Operation: 84-66=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[29, 44, 18], Operations: ['84-66=18']
Exploring Operation: 44-18=26, Resulting Numbers: [29, 26]
Generated Node #0,0,0: 27:[29, 26] Operation: 44-18=26
Moving to Node #0,0,0
Current State: 27:[29, 26], Operations: ['84-66=18', '44-18=26']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
32,
92,
67,
65
] | 30 |
[
"92-32=60",
"67-65=2",
"60/2=30"
] |
Current State: 30:[32, 92, 67, 65], Operations: []
Exploring Operation: 92-32=60, Resulting Numbers: [67, 65, 60]
Generated Node #2: [67, 65, 60] from Operation: 92-32=60
Current State: 30:[67, 65, 60], Operations: ['92-32=60']
Exploring Operation: 67-65=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 67-65=2
Current State: 30:[60, 2], Operations: ['92-32=60', '67-65=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
Current State: 30:[32, 92, 67, 65], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [32, 92, 2]
Generated Node #0,0: 30:[32, 92, 2] Operation: 67-65=2
Exploring Operation: 92-65=27, Resulting Numbers: [32, 67, 27]
Generated Node #0,1: 30:[32, 67, 27] Operation: 92-65=27
Exploring Operation: 92-67=25, Resulting Numbers: [32, 65, 25]
Generated Node #0,2: 30:[32, 65, 25] Operation: 92-67=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[32, 67, 27], Operations: ['92-65=27']
Exploring Operation: 67-32=35, Resulting Numbers: [27, 35]
Generated Node #0,1,0: 30:[27, 35] Operation: 67-32=35
Exploring Operation: 32-27=5, Resulting Numbers: [67, 5]
Generated Node #0,1,1: 30:[67, 5] Operation: 32-27=5
Exploring Operation: 67-27=40, Resulting Numbers: [32, 40]
Generated Node #0,1,2: 30:[32, 40] Operation: 67-27=40
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[27, 35], Operations: ['92-65=27', '67-32=35']
Exploring Operation: 27*35=945, Resulting Numbers: [945]
945,30 unequal: No Solution
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,30 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 30:[32, 40], Operations: ['92-65=27', '67-27=40']
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,30 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,30 unequal: No Solution
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[67, 5], Operations: ['92-65=27', '32-27=5']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,30 unequal: No Solution
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,30 unequal: No Solution
Exploring Operation: 67*5=335, Resulting Numbers: [335]
335,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[32, 65, 25], Operations: ['92-67=25']
Exploring Operation: 65-25=40, Resulting Numbers: [32, 40]
Generated Node #0,2,0: 30:[32, 40] Operation: 65-25=40
Exploring Operation: 65-32=33, Resulting Numbers: [25, 33]
Generated Node #0,2,1: 30:[25, 33] Operation: 65-32=33
Exploring Operation: 32-25=7, Resulting Numbers: [65, 7]
Generated Node #0,2,2: 30:[65, 7] Operation: 32-25=7
Moving to Node #0,2,1
Current State: 30:[25, 33], Operations: ['92-67=25', '65-32=33']
Exploring Operation: 25+33=58, Resulting Numbers: [58]
58,30 unequal: No Solution
Exploring Operation: 25*33=825, Resulting Numbers: [825]
825,30 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[32, 40], Operations: ['92-67=25', '65-25=40']
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,30 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,30 unequal: No Solution
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[65, 7], Operations: ['92-67=25', '32-25=7']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,30 unequal: No Solution
Exploring Operation: 65*7=455, Resulting Numbers: [455]
455,30 unequal: No Solution
Exploring Operation: 65+7=72, Resulting Numbers: [72]
72,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[32, 92, 2], Operations: ['67-65=2']
Exploring Operation: 32-2=30, Resulting Numbers: [92, 30]
Generated Node #0,0,0: 30:[92, 30] Operation: 32-2=30
Exploring Operation: 92/2=46, Resulting Numbers: [32, 46]
Generated Node #0,0,1: 30:[32, 46] Operation: 92/2=46
Exploring Operation: 92-32=60, Resulting Numbers: [2, 60]
Generated Node #0,0,2: 30:[2, 60] Operation: 92-32=60
Moving to Node #0,0,1
Current State: 30:[32, 46], Operations: ['67-65=2', '92/2=46']
Exploring Operation: 46-32=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Exploring Operation: 32+46=78, Resulting Numbers: [78]
78,30 unequal: No Solution
Exploring Operation: 32*46=1472, Resulting Numbers: [1472]
1472,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[2, 60], Operations: ['67-65=2', '92-32=60']
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,30 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,30 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[32, 92, 67, 65], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [32, 92, 2]
Generated Node #0,0: 30:[32, 92, 2] Operation: 67-65=2
Moving to Node #0,0
Current State: 30:[32, 92, 2], Operations: ['67-65=2']
Exploring Operation: 92-32=60, Resulting Numbers: [2, 60]
Generated Node #0,0,2: 30:[2, 60] Operation: 92-32=60
Moving to Node #0,0,2
Current State: 30:[2, 60], Operations: ['67-65=2', '92-32=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 |
hs_3
|
mult_heuristic
|
[
73,
25,
40,
28
] | 72 |
[
"73-28=45",
"40*45=1800",
"1800/25=72"
] |
Current State: 72:[73, 25, 40, 28], Operations: []
Exploring Operation: 73-28=45, Resulting Numbers: [25, 40, 45]
Generated Node #2: [25, 40, 45] from Operation: 73-28=45
Current State: 72:[25, 40, 45], Operations: ['73-28=45']
Exploring Operation: 40*45=1800, Resulting Numbers: [25, 1800]
Generated Node #3: [25, 1800] from Operation: 40*45=1800
Current State: 72:[25, 1800], Operations: ['73-28=45', '40*45=1800']
Exploring Operation: 1800/25=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[73, 25, 40, 28], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [73, 40, 3]
Generated Node #0,0: 72:[73, 40, 3] Operation: 28-25=3
Exploring Operation: 40-28=12, Resulting Numbers: [73, 25, 12]
Generated Node #0,1: 72:[73, 25, 12] Operation: 40-28=12
Exploring Operation: 73-40=33, Resulting Numbers: [25, 28, 33]
Generated Node #0,2: 72:[25, 28, 33] Operation: 73-40=33
Exploring Operation: 40+28=68, Resulting Numbers: [73, 25, 68]
Generated Node #0,3: 72:[73, 25, 68] Operation: 40+28=68
Moving to Node #0,1
Current State: 72:[73, 25, 12], Operations: ['40-28=12']
Exploring Operation: 25-12=13, Resulting Numbers: [73, 13]
Generated Node #0,1,0: 72:[73, 13] Operation: 25-12=13
Exploring Operation: 25+12=37, Resulting Numbers: [73, 37]
Generated Node #0,1,1: 72:[73, 37] Operation: 25+12=37
Exploring Operation: 73-25=48, Resulting Numbers: [12, 48]
Generated Node #0,1,2: 72:[12, 48] Operation: 73-25=48
Exploring Operation: 73-12=61, Resulting Numbers: [25, 61]
Generated Node #0,1,3: 72:[25, 61] Operation: 73-12=61
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[73, 13], Operations: ['40-28=12', '25-12=13']
Exploring Operation: 73*13=949, Resulting Numbers: [949]
949,72 unequal: No Solution
Exploring Operation: 73+13=86, Resulting Numbers: [86]
86,72 unequal: No Solution
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[73, 37], Operations: ['40-28=12', '25+12=37']
Exploring Operation: 73*37=2701, Resulting Numbers: [2701]
2701,72 unequal: No Solution
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 73+37=110, Resulting Numbers: [110]
110,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 72:[12, 48], Operations: ['40-28=12', '73-25=48']
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,72 unequal: No Solution
Exploring Operation: 12+48=60, Resulting Numbers: [60]
60,72 unequal: No Solution
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 12*48=576, Resulting Numbers: [576]
576,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 72:[25, 61], Operations: ['40-28=12', '73-12=61']
Exploring Operation: 25*61=1525, Resulting Numbers: [1525]
1525,72 unequal: No Solution
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 25+61=86, Resulting Numbers: [86]
86,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 72:[73, 40, 3], Operations: ['28-25=3']
Exploring Operation: 73-40=33, Resulting Numbers: [3, 33]
Generated Node #0,0,0: 72:[3, 33] Operation: 73-40=33
Exploring Operation: 73+3=76, Resulting Numbers: [40, 76]
Generated Node #0,0,1: 72:[40, 76] Operation: 73+3=76
Exploring Operation: 40-3=37, Resulting Numbers: [73, 37]
Generated Node #0,0,2: 72:[73, 37] Operation: 40-3=37
Exploring Operation: 73-3=70, Resulting Numbers: [40, 70]
Generated Node #0,0,3: 72:[40, 70] Operation: 73-3=70
Moving to Node #0,3
Current State: 72:[73, 25, 68], Operations: ['40+28=68']
Exploring Operation: 73-25=48, Resulting Numbers: [68, 48]
Generated Node #0,3,0: 72:[68, 48] Operation: 73-25=48
Exploring Operation: 25+68=93, Resulting Numbers: [73, 93]
Generated Node #0,3,1: 72:[73, 93] Operation: 25+68=93
Exploring Operation: 73-68=5, Resulting Numbers: [25, 5]
Generated Node #0,3,2: 72:[25, 5] Operation: 73-68=5
Exploring Operation: 68-25=43, Resulting Numbers: [73, 43]
Generated Node #0,3,3: 72:[73, 43] Operation: 68-25=43
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 72:[25, 5], Operations: ['40+28=68', '73-68=5']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 25*5=125, Resulting Numbers: [125]
125,72 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 72:[73, 43], Operations: ['40+28=68', '68-25=43']
Exploring Operation: 73+43=116, Resulting Numbers: [116]
116,72 unequal: No Solution
Exploring Operation: 73*43=3139, Resulting Numbers: [3139]
3139,72 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 72:[68, 48], Operations: ['40+28=68', '73-25=48']
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,72 unequal: No Solution
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 72:[73, 93], Operations: ['40+28=68', '25+68=93']
Exploring Operation: 73*93=6789, Resulting Numbers: [6789]
6789,72 unequal: No Solution
Exploring Operation: 93-73=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Exploring Operation: 73+93=166, Resulting Numbers: [166]
166,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 72:[25, 28, 33], Operations: ['73-40=33']
Exploring Operation: 33-25=8, Resulting Numbers: [28, 8]
Generated Node #0,2,0: 72:[28, 8] Operation: 33-25=8
Exploring Operation: 33-28=5, Resulting Numbers: [25, 5]
Generated Node #0,2,1: 72:[25, 5] Operation: 33-28=5
Exploring Operation: 28+33=61, Resulting Numbers: [25, 61]
Generated Node #0,2,2: 72:[25, 61] Operation: 28+33=61
Exploring Operation: 28-25=3, Resulting Numbers: [33, 3]
Generated Node #0,2,3: 72:[33, 3] Operation: 28-25=3
Moving to Node #0,0,2
Current State: 72:[73, 37], Operations: ['28-25=3', '40-3=37']
Exploring Operation: 73+37=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Exploring Operation: 73*37=2701, Resulting Numbers: [2701]
2701,72 unequal: No Solution
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[25, 5], Operations: ['73-40=33', '33-28=5']
Exploring Operation: 25*5=125, Resulting Numbers: [125]
125,72 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Moving to Node #0,2,3
Current State: 72:[33, 3], Operations: ['73-40=33', '28-25=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,72 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[3, 33], Operations: ['28-25=3', '73-40=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,72 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[28, 8], Operations: ['73-40=33', '33-25=8']
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 28*8=224, Resulting Numbers: [224]
224,72 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[40, 70], Operations: ['28-25=3', '73-3=70']
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,72 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[40, 76], Operations: ['28-25=3', '73+3=76']
Exploring Operation: 40*76=3040, Resulting Numbers: [3040]
3040,72 unequal: No Solution
Exploring Operation: 40+76=116, Resulting Numbers: [116]
116,72 unequal: No Solution
Exploring Operation: 76-40=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[25, 61], Operations: ['73-40=33', '28+33=61']
Exploring Operation: 25+61=86, Resulting Numbers: [86]
86,72 unequal: No Solution
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 25*61=1525, Resulting Numbers: [1525]
1525,72 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
63,
56,
2,
45
] | 97 |
[
"63-56=7",
"2*45=90",
"7+90=97"
] |
Current State: 97:[63, 56, 2, 45], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [2, 45, 7]
Generated Node #2: [2, 45, 7] from Operation: 63-56=7
Current State: 97:[2, 45, 7], Operations: ['63-56=7']
Exploring Operation: 2*45=90, Resulting Numbers: [7, 90]
Generated Node #3: [7, 90] from Operation: 2*45=90
Current State: 97:[7, 90], Operations: ['63-56=7', '2*45=90']
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[63, 56, 2, 45], Operations: []
Exploring Operation: 2*45=90, Resulting Numbers: [63, 56, 90]
Generated Node #0,0: 97:[63, 56, 90] Operation: 2*45=90
Exploring Operation: 63*2=126, Resulting Numbers: [56, 45, 126]
Generated Node #0,1: 97:[56, 45, 126] Operation: 63*2=126
Exploring Operation: 56*2=112, Resulting Numbers: [63, 45, 112]
Generated Node #0,2: 97:[63, 45, 112] Operation: 56*2=112
Exploring Operation: 63+2=65, Resulting Numbers: [56, 45, 65]
Generated Node #0,3: 97:[56, 45, 65] Operation: 63+2=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[63, 56, 90], Operations: ['2*45=90']
Exploring Operation: 63+90=153, Resulting Numbers: [56, 153]
Generated Node #0,0,0: 97:[56, 153] Operation: 63+90=153
Exploring Operation: 56+90=146, Resulting Numbers: [63, 146]
Generated Node #0,0,1: 97:[63, 146] Operation: 56+90=146
Exploring Operation: 63+56=119, Resulting Numbers: [90, 119]
Generated Node #0,0,2: 97:[90, 119] Operation: 63+56=119
Exploring Operation: 63-56=7, Resulting Numbers: [90, 7]
Generated Node #0,0,3: 97:[90, 7] Operation: 63-56=7
Moving to Node #0,0,2
Current State: 97:[90, 119], Operations: ['2*45=90', '63+56=119']
Exploring Operation: 90*119=10710, Resulting Numbers: [10710]
10710,97 unequal: No Solution
Exploring Operation: 119-90=29, Resulting Numbers: [29]
29,97 unequal: No Solution
Exploring Operation: 90+119=209, Resulting Numbers: [209]
209,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[63, 146], Operations: ['2*45=90', '56+90=146']
Exploring Operation: 146-63=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 63*146=9198, Resulting Numbers: [9198]
9198,97 unequal: No Solution
Exploring Operation: 63+146=209, Resulting Numbers: [209]
209,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[90, 7], Operations: ['2*45=90', '63-56=7']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 90*7=630, Resulting Numbers: [630]
630,97 unequal: No Solution
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[63, 56, 2, 45], Operations: []
Exploring Operation: 2*45=90, Resulting Numbers: [63, 56, 90]
Generated Node #0,0: 97:[63, 56, 90] Operation: 2*45=90
Moving to Node #0,0
Current State: 97:[63, 56, 90], Operations: ['2*45=90']
Exploring Operation: 63-56=7, Resulting Numbers: [90, 7]
Generated Node #0,0,3: 97:[90, 7] Operation: 63-56=7
Moving to Node #0,0,3
Current State: 97:[90, 7], Operations: ['2*45=90', '63-56=7']
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 |
hs_4
|
sum_heuristic
|
[
33,
46,
55,
52
] | 57 |
[
"55-52=3",
"33/3=11",
"46+11=57"
] |
Current State: 57:[33, 46, 55, 52], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [33, 46, 3]
Generated Node #2: [33, 46, 3] from Operation: 55-52=3
Current State: 57:[33, 46, 3], Operations: ['55-52=3']
Exploring Operation: 33/3=11, Resulting Numbers: [46, 11]
Generated Node #3: [46, 11] from Operation: 33/3=11
Current State: 57:[46, 11], Operations: ['55-52=3', '33/3=11']
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
Current State: 57:[33, 46, 55, 52], Operations: []
Exploring Operation: 52-33=19, Resulting Numbers: [46, 55, 19]
Generated Node #0,0: 57:[46, 55, 19] Operation: 52-33=19
Exploring Operation: 46-33=13, Resulting Numbers: [55, 52, 13]
Generated Node #0,1: 57:[55, 52, 13] Operation: 46-33=13
Exploring Operation: 55-33=22, Resulting Numbers: [46, 52, 22]
Generated Node #0,2: 57:[46, 52, 22] Operation: 55-33=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[46, 55, 19], Operations: ['52-33=19']
Exploring Operation: 46-19=27, Resulting Numbers: [55, 27]
Generated Node #0,0,0: 57:[55, 27] Operation: 46-19=27
Exploring Operation: 55-46=9, Resulting Numbers: [19, 9]
Generated Node #0,0,1: 57:[19, 9] Operation: 55-46=9
Exploring Operation: 46+19=65, Resulting Numbers: [55, 65]
Generated Node #0,0,2: 57:[55, 65] Operation: 46+19=65
Moving to Node #0,0,1
Current State: 57:[19, 9], Operations: ['52-33=19', '55-46=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[55, 27], Operations: ['52-33=19', '46-19=27']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,57 unequal: No Solution
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[55, 65], Operations: ['52-33=19', '46+19=65']
Exploring Operation: 55*65=3575, Resulting Numbers: [3575]
3575,57 unequal: No Solution
Exploring Operation: 55+65=120, Resulting Numbers: [120]
120,57 unequal: No Solution
Exploring Operation: 65-55=10, Resulting Numbers: [10]
10,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[55, 52, 13], Operations: ['46-33=13']
Exploring Operation: 52/13=4, Resulting Numbers: [55, 4]
Generated Node #0,1,0: 57:[55, 4] Operation: 52/13=4
Exploring Operation: 52+13=65, Resulting Numbers: [55, 65]
Generated Node #0,1,1: 57:[55, 65] Operation: 52+13=65
Exploring Operation: 55-52=3, Resulting Numbers: [13, 3]
Generated Node #0,1,2: 57:[13, 3] Operation: 55-52=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 57:[55, 4], Operations: ['46-33=13', '52/13=4']
Exploring Operation: 55*4=220, Resulting Numbers: [220]
220,57 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 57:[13, 3], Operations: ['46-33=13', '55-52=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,57 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 57:[55, 65], Operations: ['46-33=13', '52+13=65']
Exploring Operation: 65-55=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 55*65=3575, Resulting Numbers: [3575]
3575,57 unequal: No Solution
Exploring Operation: 55+65=120, Resulting Numbers: [120]
120,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 57:[46, 52, 22], Operations: ['55-33=22']
Exploring Operation: 46-22=24, Resulting Numbers: [52, 24]
Generated Node #0,2,0: 57:[52, 24] Operation: 46-22=24
Exploring Operation: 52-46=6, Resulting Numbers: [22, 6]
Generated Node #0,2,1: 57:[22, 6] Operation: 52-46=6
Exploring Operation: 46+22=68, Resulting Numbers: [52, 68]
Generated Node #0,2,2: 57:[52, 68] Operation: 46+22=68
Moving to Node #0,2,1
Current State: 57:[22, 6], Operations: ['55-33=22', '52-46=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,57 unequal: No Solution
Moving to Node #0,2,0
Current State: 57:[52, 24], Operations: ['55-33=22', '46-22=24']
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,57 unequal: No Solution
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,57 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Moving to Node #0,2,2
Current State: 57:[52, 68], Operations: ['55-33=22', '46+22=68']
Exploring Operation: 68-52=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 52*68=3536, Resulting Numbers: [3536]
3536,57 unequal: No Solution
Exploring Operation: 52+68=120, Resulting Numbers: [120]
120,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
38,
70,
63,
58
] | 13 |
[
"38+70=108",
"63+58=121",
"121-108=13"
] |
Current State: 13:[38, 70, 63, 58], Operations: []
Exploring Operation: 38+70=108, Resulting Numbers: [63, 58, 108]
Generated Node #2: [63, 58, 108] from Operation: 38+70=108
Current State: 13:[63, 58, 108], Operations: ['38+70=108']
Exploring Operation: 63+58=121, Resulting Numbers: [108, 121]
Generated Node #3: [108, 121] from Operation: 63+58=121
Current State: 13:[108, 121], Operations: ['38+70=108', '63+58=121']
Exploring Operation: 121-108=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
Current State: 13:[38, 70, 63, 58], Operations: []
Exploring Operation: 70-58=12, Resulting Numbers: [38, 63, 12]
Generated Node #0,0: 13:[38, 63, 12] Operation: 70-58=12
Exploring Operation: 70-63=7, Resulting Numbers: [38, 58, 7]
Generated Node #0,1: 13:[38, 58, 7] Operation: 70-63=7
Moving to Node #0,0
Current State: 13:[38, 63, 12], Operations: ['70-58=12']
Exploring Operation: 63-38=25, Resulting Numbers: [12, 25]
Generated Node #0,0,0: 13:[12, 25] Operation: 63-38=25
Exploring Operation: 38-12=26, Resulting Numbers: [63, 26]
Generated Node #0,0,1: 13:[63, 26] Operation: 38-12=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[12, 25], Operations: ['70-58=12', '63-38=25']
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[38, 70, 63, 58], Operations: []
Exploring Operation: 70-58=12, Resulting Numbers: [38, 63, 12]
Generated Node #0,0: 13:[38, 63, 12] Operation: 70-58=12
Moving to Node #0,0
Current State: 13:[38, 63, 12], Operations: ['70-58=12']
Exploring Operation: 63-38=25, Resulting Numbers: [12, 25]
Generated Node #0,0,0: 13:[12, 25] Operation: 63-38=25
Moving to Node #0,0,0
Current State: 13:[12, 25], Operations: ['70-58=12', '63-38=25']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 |
hs_2
|
mult_heuristic
|
[
50,
95,
23,
65
] | 45 |
[
"95*23=2185",
"65+2185=2250",
"2250/50=45"
] |
Current State: 45:[50, 95, 23, 65], Operations: []
Exploring Operation: 95*23=2185, Resulting Numbers: [50, 65, 2185]
Generated Node #2: [50, 65, 2185] from Operation: 95*23=2185
Current State: 45:[50, 65, 2185], Operations: ['95*23=2185']
Exploring Operation: 65+2185=2250, Resulting Numbers: [50, 2250]
Generated Node #3: [50, 2250] from Operation: 65+2185=2250
Current State: 45:[50, 2250], Operations: ['95*23=2185', '65+2185=2250']
Exploring Operation: 2250/50=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
Current State: 45:[50, 95, 23, 65], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [50, 23, 30]
Generated Node #0,0: 45:[50, 23, 30] Operation: 95-65=30
Exploring Operation: 95-50=45, Resulting Numbers: [23, 65, 45]
Generated Node #0,1: 45:[23, 65, 45] Operation: 95-50=45
Exploring Operation: 95-23=72, Resulting Numbers: [50, 65, 72]
Generated Node #0,2: 45:[50, 65, 72] Operation: 95-23=72
Moving to Node #0,0
Current State: 45:[50, 23, 30], Operations: ['95-65=30']
Exploring Operation: 50-30=20, Resulting Numbers: [23, 20]
Generated Node #0,0,0: 45:[23, 20] Operation: 50-30=20
Exploring Operation: 23+30=53, Resulting Numbers: [50, 53]
Generated Node #0,0,1: 45:[50, 53] Operation: 23+30=53
Exploring Operation: 30-23=7, Resulting Numbers: [50, 7]
Generated Node #0,0,2: 45:[50, 7] Operation: 30-23=7
Moving to Node #0,1
Current State: 45:[23, 65, 45], Operations: ['95-50=45']
Exploring Operation: 45-23=22, Resulting Numbers: [65, 22]
Generated Node #0,1,0: 45:[65, 22] Operation: 45-23=22
Exploring Operation: 65-23=42, Resulting Numbers: [45, 42]
Generated Node #0,1,1: 45:[45, 42] Operation: 65-23=42
Exploring Operation: 65-45=20, Resulting Numbers: [23, 20]
Generated Node #0,1,2: 45:[23, 20] Operation: 65-45=20
Moving to Node #0,2
Current State: 45:[50, 65, 72], Operations: ['95-23=72']
Exploring Operation: 72-65=7, Resulting Numbers: [50, 7]
Generated Node #0,2,0: 45:[50, 7] Operation: 72-65=7
Exploring Operation: 65-50=15, Resulting Numbers: [72, 15]
Generated Node #0,2,1: 45:[72, 15] Operation: 65-50=15
Exploring Operation: 72-50=22, Resulting Numbers: [65, 22]
Generated Node #0,2,2: 45:[65, 22] Operation: 72-50=22
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[50, 7], Operations: ['95-23=72', '72-65=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 50*7=350, Resulting Numbers: [350]
350,45 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 45:[72, 15], Operations: ['95-23=72', '65-50=15']
Exploring Operation: 72*15=1080, Resulting Numbers: [1080]
1080,45 unequal: No Solution
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,45 unequal: No Solution
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[65, 22], Operations: ['95-23=72', '72-50=22']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,45 unequal: No Solution
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,45 unequal: No Solution
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 45:[45, 42], Operations: ['95-50=45', '65-23=42']
Exploring Operation: 45+42=87, Resulting Numbers: [87]
87,45 unequal: No Solution
Exploring Operation: 45*42=1890, Resulting Numbers: [1890]
1890,45 unequal: No Solution
Exploring Operation: 45-42=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[50, 7], Operations: ['95-65=30', '30-23=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,45 unequal: No Solution
Exploring Operation: 50*7=350, Resulting Numbers: [350]
350,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[50, 53], Operations: ['95-65=30', '23+30=53']
Exploring Operation: 50+53=103, Resulting Numbers: [103]
103,45 unequal: No Solution
Exploring Operation: 53-50=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 50*53=2650, Resulting Numbers: [2650]
2650,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[23, 20], Operations: ['95-50=45', '65-45=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,45 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[23, 20], Operations: ['95-65=30', '50-30=20']
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,45 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[65, 22], Operations: ['95-50=45', '45-23=22']
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,45 unequal: No Solution
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,45 unequal: No Solution
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,45 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
71,
4,
64,
96
] | 77 |
[
"64/4=16",
"96/16=6",
"71+6=77"
] |
Current State: 77:[71, 4, 64, 96], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [71, 96, 16]
Generated Node #2: [71, 96, 16] from Operation: 64/4=16
Current State: 77:[71, 96, 16], Operations: ['64/4=16']
Exploring Operation: 96/16=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 96/16=6
Current State: 77:[71, 6], Operations: ['64/4=16', '96/16=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
Current State: 77:[71, 4, 64, 96], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [4, 96, 7]
Generated Node #0,0: 77:[4, 96, 7] Operation: 71-64=7
Exploring Operation: 96-71=25, Resulting Numbers: [4, 64, 25]
Generated Node #0,1: 77:[4, 64, 25] Operation: 96-71=25
Exploring Operation: 96-64=32, Resulting Numbers: [71, 4, 32]
Generated Node #0,2: 77:[71, 4, 32] Operation: 96-64=32
Exploring Operation: 64/4=16, Resulting Numbers: [71, 96, 16]
Generated Node #0,3: 77:[71, 96, 16] Operation: 64/4=16
Exploring Operation: 96/4=24, Resulting Numbers: [71, 64, 24]
Generated Node #0,4: 77:[71, 64, 24] Operation: 96/4=24
Moving to Node #0,0
Current State: 77:[4, 96, 7], Operations: ['71-64=7']
Exploring Operation: 4+7=11, Resulting Numbers: [96, 11]
Generated Node #0,0,0: 77:[96, 11] Operation: 4+7=11
Exploring Operation: 96-4=92, Resulting Numbers: [7, 92]
Generated Node #0,0,1: 77:[7, 92] Operation: 96-4=92
Exploring Operation: 4+96=100, Resulting Numbers: [7, 100]
Generated Node #0,0,2: 77:[7, 100] Operation: 4+96=100
Exploring Operation: 96-7=89, Resulting Numbers: [4, 89]
Generated Node #0,0,3: 77:[4, 89] Operation: 96-7=89
Exploring Operation: 96/4=24, Resulting Numbers: [7, 24]
Generated Node #0,0,4: 77:[7, 24] Operation: 96/4=24
Moving to Node #0,2
Current State: 77:[71, 4, 32], Operations: ['96-64=32']
Exploring Operation: 71+32=103, Resulting Numbers: [4, 103]
Generated Node #0,2,0: 77:[4, 103] Operation: 71+32=103
Exploring Operation: 32-4=28, Resulting Numbers: [71, 28]
Generated Node #0,2,1: 77:[71, 28] Operation: 32-4=28
Exploring Operation: 71+4=75, Resulting Numbers: [32, 75]
Generated Node #0,2,2: 77:[32, 75] Operation: 71+4=75
Exploring Operation: 71-4=67, Resulting Numbers: [32, 67]
Generated Node #0,2,3: 77:[32, 67] Operation: 71-4=67
Exploring Operation: 32/4=8, Resulting Numbers: [71, 8]
Generated Node #0,2,4: 77:[71, 8] Operation: 32/4=8
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 77:[71, 8], Operations: ['96-64=32', '32/4=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,77 unequal: No Solution
Exploring Operation: 71*8=568, Resulting Numbers: [568]
568,77 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[71, 28], Operations: ['96-64=32', '32-4=28']
Exploring Operation: 71+28=99, Resulting Numbers: [99]
99,77 unequal: No Solution
Exploring Operation: 71-28=43, Resulting Numbers: [43]
43,77 unequal: No Solution
Exploring Operation: 71*28=1988, Resulting Numbers: [1988]
1988,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 77:[32, 75], Operations: ['96-64=32', '71+4=75']
Exploring Operation: 32+75=107, Resulting Numbers: [107]
107,77 unequal: No Solution
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,77 unequal: No Solution
Exploring Operation: 32*75=2400, Resulting Numbers: [2400]
2400,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 77:[4, 103], Operations: ['96-64=32', '71+32=103']
Exploring Operation: 4*103=412, Resulting Numbers: [412]
412,77 unequal: No Solution
Exploring Operation: 103-4=99, Resulting Numbers: [99]
99,77 unequal: No Solution
Exploring Operation: 4+103=107, Resulting Numbers: [107]
107,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 77:[32, 67], Operations: ['96-64=32', '71-4=67']
Exploring Operation: 67-32=35, Resulting Numbers: [35]
35,77 unequal: No Solution
Exploring Operation: 32*67=2144, Resulting Numbers: [2144]
2144,77 unequal: No Solution
Exploring Operation: 32+67=99, Resulting Numbers: [99]
99,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 77:[4, 64, 25], Operations: ['96-71=25']
Exploring Operation: 25-4=21, Resulting Numbers: [64, 21]
Generated Node #0,1,0: 77:[64, 21] Operation: 25-4=21
Exploring Operation: 4+64=68, Resulting Numbers: [25, 68]
Generated Node #0,1,1: 77:[25, 68] Operation: 4+64=68
Exploring Operation: 64+25=89, Resulting Numbers: [4, 89]
Generated Node #0,1,2: 77:[4, 89] Operation: 64+25=89
Exploring Operation: 64/4=16, Resulting Numbers: [25, 16]
Generated Node #0,1,3: 77:[25, 16] Operation: 64/4=16
Exploring Operation: 64-4=60, Resulting Numbers: [25, 60]
Generated Node #0,1,4: 77:[25, 60] Operation: 64-4=60
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[4, 89], Operations: ['96-71=25', '64+25=89']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,77 unequal: No Solution
Exploring Operation: 4*89=356, Resulting Numbers: [356]
356,77 unequal: No Solution
Exploring Operation: 4+89=93, Resulting Numbers: [93]
93,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 77:[25, 16], Operations: ['96-71=25', '64/4=16']
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,77 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[64, 21], Operations: ['96-71=25', '25-4=21']
Exploring Operation: 64*21=1344, Resulting Numbers: [1344]
1344,77 unequal: No Solution
Exploring Operation: 64+21=85, Resulting Numbers: [85]
85,77 unequal: No Solution
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[25, 68], Operations: ['96-71=25', '4+64=68']
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,77 unequal: No Solution
Exploring Operation: 25*68=1700, Resulting Numbers: [1700]
1700,77 unequal: No Solution
Exploring Operation: 25+68=93, Resulting Numbers: [93]
93,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 77:[25, 60], Operations: ['96-71=25', '64-4=60']
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,77 unequal: No Solution
Exploring Operation: 25*60=1500, Resulting Numbers: [1500]
1500,77 unequal: No Solution
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 77:[71, 96, 16], Operations: ['64/4=16']
Exploring Operation: 96/16=6, Resulting Numbers: [71, 6]
Generated Node #0,3,0: 77:[71, 6] Operation: 96/16=6
Exploring Operation: 96-71=25, Resulting Numbers: [16, 25]
Generated Node #0,3,1: 77:[16, 25] Operation: 96-71=25
Exploring Operation: 71-16=55, Resulting Numbers: [96, 55]
Generated Node #0,3,2: 77:[96, 55] Operation: 71-16=55
Exploring Operation: 71+16=87, Resulting Numbers: [96, 87]
Generated Node #0,3,3: 77:[96, 87] Operation: 71+16=87
Exploring Operation: 96-16=80, Resulting Numbers: [71, 80]
Generated Node #0,3,4: 77:[71, 80] Operation: 96-16=80
Moving to Node #0,4
Current State: 77:[71, 64, 24], Operations: ['96/4=24']
Exploring Operation: 71-64=7, Resulting Numbers: [24, 7]
Generated Node #0,4,0: 77:[24, 7] Operation: 71-64=7
Exploring Operation: 64+24=88, Resulting Numbers: [71, 88]
Generated Node #0,4,1: 77:[71, 88] Operation: 64+24=88
Exploring Operation: 64-24=40, Resulting Numbers: [71, 40]
Generated Node #0,4,2: 77:[71, 40] Operation: 64-24=40
Exploring Operation: 71-24=47, Resulting Numbers: [64, 47]
Generated Node #0,4,3: 77:[64, 47] Operation: 71-24=47
Exploring Operation: 71+24=95, Resulting Numbers: [64, 95]
Generated Node #0,4,4: 77:[64, 95] Operation: 71+24=95
Moving to Node #0,3,0
Current State: 77:[71, 6], Operations: ['64/4=16', '96/16=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[71, 4, 64, 96], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [71, 96, 16]
Generated Node #0,3: 77:[71, 96, 16] Operation: 64/4=16
Moving to Node #0,3
Current State: 77:[71, 96, 16], Operations: ['64/4=16']
Exploring Operation: 96/16=6, Resulting Numbers: [71, 6]
Generated Node #0,3,0: 77:[71, 6] Operation: 96/16=6
Moving to Node #0,3,0
Current State: 77:[71, 6], Operations: ['64/4=16', '96/16=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.943576 |
hs_5
|
mult_heuristic
|
Subsets and Splits
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