83 lines
2.3 KiB
Markdown
83 lines
2.3 KiB
Markdown
# Assignment 1
|
|
|
|
## Part A
|
|
|
|
### Append
|
|
```shell
|
|
xsb
|
|
```
|
|
```prolog
|
|
['A/append.P'].
|
|
suffix([1,2], [1,2,3,4]).
|
|
cut([1,2,3]).
|
|
```
|
|
### Reach
|
|
generate input set
|
|
```shell
|
|
python randomgen.py [number of nodes]
|
|
```
|
|
### Transitive closure and cycle
|
|
```shell
|
|
xsb
|
|
```
|
|
```prolog
|
|
['A/cycle.P'].
|
|
path(1,2) .
|
|
cycle(1).
|
|
```
|
|
### N-queens
|
|
```shell
|
|
xsb
|
|
```
|
|
```prolog
|
|
['A/queens.P'].
|
|
timeNQueen(8).
|
|
timeOneQueen(8).
|
|
```
|
|
|
|
## Part B
|
|
### Reach
|
|
generate input set
|
|
```shell
|
|
python randomgen.py [number of nodes]
|
|
```
|
|
```shell
|
|
clingo --models 0 B/reach.lp
|
|
```
|
|
| Input size | Way 1 | Way 2 | Way 3 | Way 4 |
|
|
| ---------- | ------- | ------ | ------ | ------ |
|
|
| 10000 | 0.655s | 0.703s | 0.664s | 0.665s |
|
|
| 20000 | 1.376s | 1.446s | 1.290s | 1.292s |
|
|
| 50000 | 3.355s | 3.501s | 2.750s | 1.645s |
|
|
| 100000 | 6.778s | 5.002s | 3.375s | 3.438s |
|
|
| 200000 | 12.119s | 7.514s | 7.267s | 7.021s |
|
|
|
|
Though it looks like the Way4 is way better tha Way 1(Almost twice as fast), but if we let the computer to rest for a while and rerun them the other way(start from 4, then 3, follow by 2 and 1), we got
|
|
| Input size | Way 1 | Way 2 | Way 3 | Way 4 |
|
|
| ---------- | ------ | ------ | ------ | ------- |
|
|
| 200000 | 7.146s | 7.610s | 7.120s | 12.103s |
|
|
|
|
It is exactly the other way around! I belive it is because the input file becomes too large
|
|
(42 MByte), so it waste a lot of time to load it to memory then cache, and the following ones has much higher cache hits rate, so the first one takes way longer than the others.
|
|
### N-queens
|
|
```shell
|
|
clingo --models 0 B/nqueens.lp
|
|
```
|
|
```shell
|
|
clingo --models 1 B/nqueens.lp
|
|
```
|
|
| Number of queens | Time for 1 queen | Time for all queens |
|
|
| ---------------- | ---------------- | ------------------- |
|
|
| 8 | 0.004s | 0.006s |
|
|
| 10 | 0.003s | 0.086s |
|
|
| 12 | 0.004s | 4.909s |
|
|
| 14 | 0.006s | Too long to run |
|
|
| 20 | 0.011s | |
|
|
| 50 | 0.073s | |
|
|
| 100 | 0.463s | |
|
|
| 200 | 3.233s | |
|
|
| 500 | 35.073s | |
|
|
|
|
|
|
## Part C
|
|
### N-queens |