Problem p00042 (C++)

Buggy submission (status: Time Limit Exceeded):
#include <algorithm>
#include <cmath>
#include <cstdio>
#include <cstring>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <vector>

using namespace std;

#define ALL(co) co.begin(), co.end()
#define tpl(...) make_tuple(__VA_ARGS__)

typedef long long LL;
typedef pair<int, int> P;
typedef pair<int, P> IP;
typedef pair<P, P> PP;
typedef vector<int> Array;
typedef vector<vector<int>> Array2;
typedef vector<LL> LArray;
typedef vector<P> PArray;
typedef vector<string> SArray;

const int INF = 1 << 29;
const LL LINF = 1LL << 60;

inline int getInt() {
  int itiv;
  return (cin >> itiv, itiv);
}
template <typename T> void readAll(vector<T> &vec) {
  for (int i = 0, size = vec.size(); i < size; i++)
    cin >> vec[i];
}
template <typename T, typename U> void readAll(vector<pair<T, U>> &vec) {
  for (int i = 0, size = vec.size(); i < size; i++)
    cin >> vec[i].first >> vec[i].second;
}
template <typename T> inline string toString(const T &a) {
  ostringstream oss;
  oss << a;
  return oss.str();
};
inline bool between(int min, int max, int n) { return min <= n && n <= max; }
inline bool inRange(int begin, int end, int n) { return begin <= n && n < end; }
inline bool inRange(int size, int n) { return 0 <= n && n < size; }

int dx[] = {-1, 0, 1, 0}, dy[] = {0, -1, 0, 1};
int dr[] = {0, -1, 0, 1}, dc[] = {-1, 0, 1, 0};

int n, w;
const int M_W = 1001;
const int M_N = 1001;
P dp[M_N][M_W];
PArray arr;

P dfs(int idx, int weight) {
  if (idx == n)
    return P(0, weight);
  if (dp[idx][weight] != P())
    return dp[idx][weight];

  P v1 = P(-1, weight + arr[idx].second);
  if (v1.second <= w) {
    P ret = dfs(idx + 1, weight + arr[idx].second);
    v1.first = ret.first + arr[idx].first;
    v1.second = ret.second;
  }
  P v2 = dfs(idx + 1, weight);
  P ans;
  if (v1.first == v2.first) {
    ans.first = v1.first;
    ans.second = min(v1.second, v2.second);
  } else
    ans = max(v1, v2);
  return ans;
}

int main(void) {
  ios::sync_with_stdio(false);
  int counter = 0;
  while (cin >> w && w) {
    counter++;
    cin >> n;
    arr.resize(n);
    char c;
    for (int i = 0; i < n; i++) {
      cin >> arr[i].first >> c >> arr[i].second;
    }
    memset(dp, 0, sizeof(dp));
    P ans = dfs(0, 0);

    cout << "Case " << counter << ":" << endl;
    cout << ans.first << endl;
    cout << ans.second << endl;
  }
  return 0;
}

Fixed submission:
#include <algorithm>
#include <cmath>
#include <cstdio>
#include <cstring>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <vector>

using namespace std;

#define ALL(co) co.begin(), co.end()
#define tpl(...) make_tuple(__VA_ARGS__)

typedef long long LL;
typedef pair<int, int> P;
typedef pair<int, P> IP;
typedef pair<P, P> PP;
typedef vector<int> Array;
typedef vector<vector<int>> Array2;
typedef vector<LL> LArray;
typedef vector<P> PArray;
typedef vector<string> SArray;

const int INF = 1 << 29;
const LL LINF = 1LL << 60;

inline int getInt() {
  int itiv;
  return (cin >> itiv, itiv);
}
template <typename T> void readAll(vector<T> &vec) {
  for (int i = 0, size = vec.size(); i < size; i++)
    cin >> vec[i];
}
template <typename T, typename U> void readAll(vector<pair<T, U>> &vec) {
  for (int i = 0, size = vec.size(); i < size; i++)
    cin >> vec[i].first >> vec[i].second;
}
template <typename T> inline string toString(const T &a) {
  ostringstream oss;
  oss << a;
  return oss.str();
};
inline bool between(int min, int max, int n) { return min <= n && n <= max; }
inline bool inRange(int begin, int end, int n) { return begin <= n && n < end; }
inline bool inRange(int size, int n) { return 0 <= n && n < size; }

int dx[] = {-1, 0, 1, 0}, dy[] = {0, -1, 0, 1};
int dr[] = {0, -1, 0, 1}, dc[] = {-1, 0, 1, 0};

int n, w;
const int M_W = 1001;
const int M_N = 1001;
P dp[M_N][M_W];
PArray arr;

P dfs(int idx, int weight) {
  if (idx == n)
    return P(0, weight);
  if (dp[idx][weight] != P())
    return dp[idx][weight];

  P v1 = P(-1, weight + arr[idx].second);
  if (v1.second <= w) {
    P ret = dfs(idx + 1, weight + arr[idx].second);
    v1.first = ret.first + arr[idx].first;
    v1.second = ret.second;
  }
  P v2 = dfs(idx + 1, weight);
  P ans;
  if (v1.first == v2.first) {
    ans.first = v1.first;
    ans.second = min(v1.second, v2.second);
  } else
    ans = max(v1, v2);
  return dp[idx][weight] = ans;
}

int main(void) {
  ios::sync_with_stdio(false);
  int counter = 0;
  while (cin >> w && w) {
    counter++;
    cin >> n;
    arr.resize(n);
    char c;
    for (int i = 0; i < n; i++) {
      cin >> arr[i].first >> c >> arr[i].second;
    }
    memset(dp, 0, sizeof(dp));
    P ans = dfs(0, 0);

    cout << "Case " << counter << ":" << endl;
    cout << ans.first << endl;
    cout << ans.second << endl;
  }
  return 0;
}