i am new to cplex and try to solve the transportation problem. Now I want to write a index set that :
r = customer index
Z[r] = number of sub deliveries (a request exceed truck’s capacity)
i={1,2,3,4,5,6,7,8,9,10..N}
i is element of {1..z1 z1+1..z1+z2 z1+z2+1..z3 ... sum(r in R) z[r]+1..N }
which i element can refer to customer. Thanks you very much.
I am not too sure about what you intend to do, but as far as syntax is concerned, this is fine:
int N=3;
range r=1..N;
int Z[r] = [2,6,18];
{int} s=union(i in r) asSet(1+sum(j in 1..i-1)Z[j]..sum(j in 1..i)Z[j]);
execute
{
writeln(s);
}
Related
So I got a question that was delivered as a 2D List
val SPE = listOf(
listOf('w', 'x'),
listOf('x', 'y'),
listOf('z', 'y'),
listOf('z', 'v'),
listOf('w', 'v')
)
It asks to find the shortest path between w and z. So obviously, BFS would be the best course of action here to find that path the fastest. Here's my code for it
fun shortestPath(edges: List<List<Char>>, root: Char, destination: Char): Int {
val graph = buildGraph3(edges)
val visited = hashSetOf(root)
val queue = mutableListOf(mutableListOf(root, 0))
while (queue.size > 0){
val node = queue[0].removeFirst()
val distance = queue[0].removeAt(1)
if (node == destination) return distance as Int
graph[node]!!.forEach{
if (!visited.contains(it)){
visited.add(it)
queue.add(mutableListOf(it, distance + 1))
}
}
}
queue.sortedByDescending { it.size }
return queue[0][1]
}
fun buildGraph3(edges: List<List<Char>>): HashMap<Char, MutableList<Char>> {
val graph = HashMap<Char, MutableList<Char>>()
for (i in edges.indices){
for (n in 0 until edges[i].size){
var a = edges[i][0]
var b = edges[i][1]
if (!graph.containsKey(a)) { graph[a] = mutableListOf() }
if (!graph.containsKey(b)) { graph[b] = mutableListOf() }
graph[a]?.add(b)
graph[b]?.add(b)
}
}
return graph
}
I am stuck on the return part. I wanted to use a list to keep track of the incrementation of the char, but it wont let me return the number. I could have done this wrong, so any help is appreciated. Thanks.
If I paste your code into an editor I get this warning on your return queue[0][1] statement:
Type mismatch: inferred type is {Comparable<*> & java.io.Serializable} but Int was expected
The problem here is queue contains lists that hold Chars and Int distances, mixed together. You haven't specified the type that list holds, so Kotlin has to infer it from the types of the things you've put in the list. The most general type that covers both is Any?, but the compiler tries to be as specific as it can, inferring the most specific type that covers both Char and Int.
In this case, that's Comparable<*> & java.io.Serializable. So when you pull an item out with queue[0][1], the value you get is a Comparable<*> & java.io.Serializable, not an Int, which is what your function is supposed to be returning.
You can "fix" this by casting - since you know how your list is meant to be organised, two elements with a Char then an Int, you can provide that information to the compiler, since it has no idea what you're doing beyond what it can infer:
val node = queue[0].removeFirst() as Char
val distance = queue[0].removeAt(1) as Int
...
return queue[0][1] as Int
But ideally you'd be using the type system to create some structure around your data, so the compiler knows exactly what everything is. The most simple, generic one of these is a Pair (or a Triple if you need 3 elements):
val queue = mutableListOf(Pair<Char, Int>(root, 0))
// or if you don't want to explicitly specify the type
val queue = mutableListOf(root to 0)
Now the type system knows that the items in your queue are Pairs where the first element is a Char, and the second is an Int. No need to cast anything, and it will be able to help you as you try to work with that data, and tell you if you're doing the wrong thing.
It might be better to make actual classes that reflect your data, e.g.
data class Step(node: Char, distance: Int)
because a Pair is pretty general, but it's up to you. You can pull the data out of it like this:
val node = queue[0].first
val distance = queue[0].second
// or use destructuring to assign the components to multiple variables at once
val (node, distance) = queue[0]
If you make those changes, you'll have to rework some of your algorithm - but you'll have to do that anyway, it's broken in a few ways. I'll just give you some pointers:
your return queue[0][1] line can only be reached when queue is empty
queue[0].removeAt(1) is happening on a list that now has 1 element (i.e. at index 0)
don't you need to remove items from your queue instead?
when building your graph, you call add(b) twice
try printing your graph, the queue at each stage in the loop etc to see what's happening! Make sure it's doing what you expect. Comment out any code that doesn't work so you can make sure the stuff that runs before that is working.
Good luck with it! Hopefully once you get your types sorted out things will start to fall into place more easily
I've spend some time working on the problem and got this close
fun lengthOfLongestSubstring(s: String): Int {
var set = HashSet<Char>()
var initalChar = 0
var count = 0
s.forEach {r ->
while(!set.add(s[r]))
set.remove(s[r])
initalChar++
set.add(s[r])
count = maxOf(count, r - initialChar + 1)
}
return count
}
I understand that a HashSet is needed to answer the question since it doesn't allow for repeating characters but I keep getting a type mismatch error. I'm not above being wrong. Any assistance will be appreciated.
Your misunderstanding is that r represents a character in the string, not an index of the string, so saying s[r] doesn't make sense. You just mean r.
But you are also using r on its own, so you should be using forEachIndexed, which lets you access both the element of the sequence and the index of that element:
s.forEach { i, r ->
while(!set.add(r))
set.remove(r)
initialChar++
set.add(r)
count = maxOf(count, i - initialChar + 1)
}
Though there are still some parts of your code that doesn't quite make sense.
while(!set.add(r)) set.remove(r) is functionally the same as set.add(r). If add returns false, that means the element is already in the set, you remove it and the next iteration of the loop adds the element back into the set. If add returns true, that means the set didn't have the element and it was successfully added, so in any case, the result is you add r to the set.
And then you do set.add(r) again two lines later for some reason?
Anyway, here is a brute-force solution that you can use as a starting point to optimise:
fun lengthOfLongestSubstring(s: String): Int {
val set = mutableSetOf<Char>()
var currentMax = 0
// for each substring starting at index i...
for (i in s.indices) {
// update the current max from the previous iterations...
currentMax = maxOf(currentMax, set.size)
// clear the set to record a new substring
set.clear()
// loop through the characters in this substring
for (j in i..s.lastIndex) {
if (!set.add(s[j])) { // if the letter already exists
break // go to the next iteration of the outer for loop
}
}
}
return maxOf(currentMax, set.size)
}
map < string , int > M;
M["Top"] = 1;
M["Coder"] = 2;
M["SRM"] = 10;
int x = M["Top"] + M["Coder"];
if(M.find("SRM") != M.end()) {
M.erase(M.find("SRM")); // or even M.erase("SRM")
}
If no element is found in the M, find() returns M.end(). M.end() points to the element following the last element of the container, it is a
boundary iterator (no data is at this position).
See:
http://en.cppreference.com/w/cpp/container/map/find
http://en.cppreference.com/w/cpp/container/map/end
The code works fine, when the string "SRM" is found in the map, it will be erased from it. Because when method find() does not finds the value it returns an iterator pointing to the end of container.
Maybe you could reformulate question, to be more precise what you want to achieve.
I have this LINQ Query:
TempRecordList = new ArrayList(TempRecordList.Cast<string>().OrderBy(s => s.Substring(9, 30)).ToArray());
It works great and performs sorting in a way that's accurate but a little different from what I want. Among the the result of the query I see something like this:
Palm-Bouter, Peter
Palmer-Johnson, Sean
Whereas what I really need is to have names sorted like this:
Palmer-Johnson, Sean
Palm-Bouter, Peter
Basically I want the '-' character to be treated as being lower than the character so that names that contain it show up later in an ascending search.
Here is another example. I get:
Dias, Reginald
DiBlackley, Anton
Instead of:
DiBlackley, Anton
Dias, Reginald
As you can see, again, the order is switched due to how the uppercase letter 'B' is treated.
So my question is, what do I need to change in my LINQ query to make it return results in the order I specified. Any feedback would be greatly appreaciated.
By the way, I tried using s.Substring(9, 30).ToLower() but that didn't help.
Thank you!
To customize the sorting order you will need to create a comparer class that implements IComparer<string> interface. The OrderBy() method takes comparer as second parameter.
internal sealed class NameComparer : IComparer<string> {
private static readonly NameComparer DefaultInstance = new NameComparer();
static NameComparer() { }
private NameComparer() { }
public static NameComparer Default {
get { return DefaultInstance; }
}
public int Compare(string x, string y) {
int length = Math.Min(x.Length, y.Length);
for (int i = 0; i < length; ++i) {
if (x[i] == y[i]) continue;
if (x[i] == '-') return 1;
if (y[i] == '-') return -1;
return x[i].CompareTo(y[i]);
}
return x.Length - y.Length;
}
}
This works at least with the following test cases:
var names = new[] {
"Palmer-Johnson, Sean",
"Palm-Bouter, Peter",
"Dias, Reginald",
"DiBlackley, Anton",
};
var sorted = names.OrderBy(name => name, NameComparer.Default).ToList();
// sorted:
// [0]: "DiBlackley, Anton"
// [1]: "Dias, Reginald"
// [2]: "Palmer-Johnson, Sean"
// [3]: "Palm-Bouter, Peter"
As already mentioned, the OrderBy() method takes a comparer as a second parameter.
For strings, you don't necessarily have to implement an IComparer<string>. You might be fine with System.StringComparer.CurrentCulture (or one of the others in System.StringComparer).
In your exact case, however, there is no built-in comparer which will handle also the - after letter sort order.
OrderBy() returns results in ascending order.
e comes before h, thus the first result (remember you're comparing on a substring that starts with the character in the 9th position...not the beginning of the string) and i comes before y, thus the second. Case sensitivity has nothing to do with it.
If you want results in descending order, you should use OrderByDescending():
TempRecordList.Cast<string>
.OrderByDescending(s => s.Substring(9, 30)).ToArray());
You might want to just implement a custom IComparer object that will give a custom priority to special, upper-case and lower-case characters.
http://msdn.microsoft.com/en-us/library/system.collections.icomparer.aspx
I have a big file of words ~100 Gb and have limited memory 4Gb. I need to calculate word distribution from this file. Now one option is to divide it into chunks and sort each chunk and then merge to calculate word distribution. Is there any other way it can be done faster? One idea is to sample but not sure how to implement it to return close to correct solution.
Thanks
You can build a Trie structure where each leaf (and some nodes) will contain the current count. As words will intersect with each other 4GB should be enough to process 100 GB of data.
Naively I would just build up a hash table until it hits a certain limit in memory, then sort it in memory and write this out. Finally, you can do n-way merging of each chunk. At most you will have 100/4 chunks or so, but probably many fewer provided some words are more common than others (and how they cluster).
Another option is to use a trie which was built for this kind of thing. Each character in the string becomes a branch in a 256-way tree and at the leaf you have the counter. Look up the data structure on the web.
If you can pardon the pun, "trie" this:
public class Trie : Dictionary<char, Trie>
{
public int Frequency { get; set; }
public void Add(string word)
{
this.Add(word.ToCharArray());
}
private void Add(char[] chars)
{
if (chars == null || chars.Length == 0)
{
throw new System.ArgumentException();
}
var first = chars[0];
if (!this.ContainsKey(first))
{
this.Add(first, new Trie());
}
if (chars.Length == 1)
{
this[first].Frequency += 1;
}
else
{
this[first].Add(chars.Skip(1).ToArray());
}
}
public int GetFrequency(string word)
{
return this.GetFrequency(word.ToCharArray());
}
private int GetFrequency(char[] chars)
{
if (chars == null || chars.Length == 0)
{
throw new System.ArgumentException();
}
var first = chars[0];
if (!this.ContainsKey(first))
{
return 0;
}
if (chars.Length == 1)
{
return this[first].Frequency;
}
else
{
return this[first].GetFrequency(chars.Skip(1).ToArray());
}
}
}
Then you can call code like this:
var t = new Trie();
t.Add("Apple");
t.Add("Banana");
t.Add("Cherry");
t.Add("Banana");
var a = t.GetFrequency("Apple"); // == 1
var b = t.GetFrequency("Banana"); // == 2
var c = t.GetFrequency("Cherry"); // == 1
You should be able to add code to traverse the trie and return a flat list of words and their frequencies.
If you find that this too still blows your memory limit then might I suggest that you "divide and conquer". Maybe scan the source data for all the first characters and then run the trie separately against each and then concatenate the results after all of the runs.
do you know how many different words you have? if not a lot (i.e. hundred thousand) then you can stream the input, determine words and use a hash table to keep the counts. after input is done just traverse the result.
Just use a DBM file. It’s a hash on disk. If you use the more recent versions, you can use a B+Tree to get in-order traversal.
Why not use any relational DB? The procedure would be as simple as:
Create a table with the word and count.
Create index on word. Some databases have word index (f.e. Progress).
Do SELECT on this table with the word.
If word exists then increase counter.
Otherwise - add it to the table.
If you are using python, you can check the built-in iter function. It will read line by line from your file and will not cause memory problems. You should not "return" the value but "yield" it.
Here is a sample that I used to read a file and get the vector values.
def __iter__(self):
for line in open(self.temp_file_name):
yield self.dictionary.doc2bow(line.lower().split())