Go: package main

import (
	"bufio"
	"fmt"
	"math"
	"os"
	"strconv"
	"strings"
)

const MaxW = 1000
const MaxN = 1000

type Tuple struct {
	Value  int
	Weight int
}

func nextLine(sc *bufio.Scanner) string {
	sc.Scan()
	return sc.Text()
}

func solve(w int, n int, vws []Tuple) Tuple {
	var dp [MaxN + 1][MaxW + 1]int

	for i := 0; i < n; i++ {
		for j:= w; j > 0; j-- {
			if j < vws[i].Weight {
				dp[i + 1][j] = dp[i][j]
			} else {
				dp[i + 1][j] = int(math.Max(float64(dp[i][j]), float64(dp[i][j - vws[i].Weight] + vws[i].Value)))
			}
		}
	}

	maxValue := dp[n][w]
	minWeight := w

	for j := w - 1; j > 0; j-- {
		if maxValue == dp[n][j] {
			minWeight = j
		} else {
			break
		}
	}

	return Tuple{Value: maxValue, Weight: minWeight}
}

func main() {
	var sc = bufio.NewScanner(os.Stdin)
	index := 1
	for {
		var w, n int
		w, _ = strconv.Atoi(nextLine(sc))
		if w == 0 {
			return
		}
		n, _ = strconv.Atoi(nextLine(sc))

		vws := make([]Tuple, n, n)
		for i := 0; i < n; i++ {
			array := strings.Split(nextLine(sc), ",")
			v, _ := strconv.Atoi(array[0])
			w, _ := strconv.Atoi(array[1])
			vws[i] = Tuple{Value: v, Weight: w}
		}

		t := solve(w, n, vws)
		fmt.Printf("Case %d:\n", index)
		fmt.Println(t.Value)
		fmt.Println(t.Weight)
		index++
	}
}

C++: #include <bits/stdc++.h>
using namespace std;

struct Item{
	int v,w;
	int idx;	
};
const int INF = 1000000000;
class Knapsack{
public:
	
	
	int maximumWeight;
	vector<Item> items;
	Knapsack(int maximumWeight_,vector<Item> items_) : maximumWeight(maximumWeight_),items(items_) {
		used.resize(items.size(),false);
		totalWeight = totalValue = 0;
		sort(items.begin(),items.end(),[](Item a,Item b){ return a.v * b.w > b.v * a.w; });
	}
	int totalValue;
	int totalWeight;
	vector<bool> used;
	bool operator < (const Knapsack &op) const {
		if( totalValue == op.totalValue )
			return totalWeight > op.totalWeight;
		return totalValue < op.totalValue;
	}

	bool canPut(const Item &x){
		return !used[x.idx] && x.w <= maximumWeight - totalWeight;
	}
	bool putItem(const Item &x){
		if( canPut(x) ){
			totalWeight += x.w;
			totalValue += x.v;
			used[x.idx] = true;
			return true; // success
		}else{
			return false; // failure
		}
	}
	bool removeItem(const Item &x){
		if( used[x.idx] ){
			totalWeight -= x.w;
			totalValue -= x.v;
			used[x.idx] = false;
			return true;
		}
		return false;
	}
	int swapAtoB(Item x,Item y){
		if( used[x.idx] && !used[y.idx] ){
			if( totalWeight - x.w + y.w > maximumWeight ) return -INF;
			return y.v - x.v;
		}else{
			return -INF;
		}
	}
	Knapsack knapSackDP(int scale) const{
		Knapsack res = *this;
		int maximumValue = -INF;
		for( auto i : res.items ){
			maximumValue = max(maximumValue,i.v);
		}

		double rate = min(1.0,1.*scale/maximumValue);
		for( auto &i : res.items ){
			i.v = (int)(ceil(rate*i.v)+1e-9);
		}
		
		vector<int> dp(scale+1,INF),lastId(scale+1,-1);
		dp[0] = 0;
		for(int i = 0 ; i < res.items.size() ; i++){
			if( res.used[i] ) continue;
			for(int j = scale ; j >= res.items[i].v ; j--){
				if( dp[j-res.items[i].v] + res.items[i].w < dp[j] ){
					dp[j] = dp[j-res.items[i].v] + res.items[i].w;
					lastId[j] = i;
				}
			}
		}
		for(int i = scale ; i >= 0 ; i--){
			if( dp[i] <= maximumWeight - totalWeight ){
				int cur = i;
				while(cur > 0){
					int p = lastId[cur];
					res.putItem(res.items[p]);
					cur -= res.items[p].v;
					if( p == -1 ) exit(0);
				}
				break;
			}
		}
		return res;
	}
	Knapsack localImprovement() const{
		Knapsack res = *this;
		while(true){
			// ????¬??????????????????????????????§??????????
			for(int i = 0 ; i < res.items.size() ; i++){	
				res.putItem(res.items[i]);
			}
			auto reflesh = [&](){
				for(int i = 0 ; i < res.items.size() ; i++){
					if( res.used[i] ){

						auto tmp = res;
						tmp.removeItem(tmp.items[i]);
						for(int j = 0 ; j < tmp.items.size() ; j++){
							if( i != j && !tmp.used[j] ){	
								tmp.putItem(tmp.items[j]);
							}
						}
						if( res < tmp ){
							res = tmp;
							return true;
						}
					}
				}
				return false;
			};
			if( reflesh() ) continue;
			
			auto reflesh2 = [&](){
				for(int i = 0 ; i < res.items.size() ; i++){
					if( res.used[i] ){

						for(int j = 0 ; j < res.items.size() ; j++){
							if( !res.used[j] ){
								if( res.swapAtoB(res.items[i],res.items[j]) >= 0 ){
									res.removeItem(res.items[i]);
									res.putItem(res.items[j]);
									return true;
								}
							}
						}
					}
				}
				return false;
			};
			if( reflesh2() ) continue;
			break;
		}
		return res;
	}
};




int main(){
	int n,m;
	int t=1;
	while(cin >> n >> m && n){
		vector<Item> items;
		for(int i = 0 ; i < m ; i++){
			int x,y;
			scanf("%d,%d",&x,&y);
			items.push_back({x,y,i});
		}
		Knapsack knap(n,items);
		knap = knap.knapSackDP(11451).localImprovement();
		cout << "Case " << t++ << ":" << endl;
		//knap = knap.localImprovement();
		cout << knap.totalValue << "\n" << knap.totalWeight << endl;
	}
}

C++: #include<iostream>
#include<cstdio>
#include<string>
#include<vector>

using namespace std;

struct Treasure
{

  long value;
  long weight;
  bool flag;
};

bool flag = true;
int limit_weight = 0;
int treasure_number = 0;
Treasure result_treasure;

int AThief(vector<Treasure> &treasure,int total_value,int total_weight)
{

  if(limit_weight < total_weight) return 0;
  else
    {

      for(int i = 0; i < treasure_number; i++)
        {

          if(treasure[i].flag)
            {

              total_value += treasure[i].value;
              total_weight += treasure[i].weight;
              treasure[i].flag = false;

              if(AThief(treasure,total_value,total_weight) == 0)
                {

                  total_value -= treasure[i].value;
                  total_weight -= treasure[i].weight;

                  if(result_treasure.value == total_value && result_treasure.weight > total_weight) result_treasure.weight = total_weight;
                  else if(result_treasure.value < total_value)
                    {
                      result_treasure.value = total_value;
                      result_treasure.weight = total_weight;
                    }
                  flag = false;
                }
              else
                {
                  total_value -= treasure[i].value;
                  total_weight -= treasure[i].weight;
                }

              treasure[i].flag = true;

            }

        }

    }
  if(flag)
    {
      result_treasure.value = total_value;
      result_treasure.weight = total_weight;
      flag = false;
    }


  return 1;

}


int main()
{

  int dummy;
  Treasure temp;
  int case_number = 0;
  long total_value = 0;
  long total_weight = 0;
  vector<Treasure> treasure;

  cin >> limit_weight;

  while(limit_weight!=0)
    {

      cin >> treasure_number;

      treasure.clear();

      for(int i = 0; i < treasure_number; i++)
        {

          scanf("%d,%d",&temp.value,&temp.weight);
          temp.flag = true;
          treasure.push_back(temp);

        }

      result_treasure.value = -1;
      result_treasure.weight = 2147483647;

      dummy = AThief(treasure,total_value,total_weight);

      case_number++;

      cout << "Case " << case_number << ":" << endl;
      cout << result_treasure.value << endl;
      cout << result_treasure.weight << endl;

      cin >> limit_weight;

    }

}