Problem p01218 (C++) — buggy submission, verdict: Memory Limit Exceeded

#include <bits/stdc++.h>

#define REP(i, s, n) for (int i = s; i < n; i++)
#define rep(i, n) REP(i, 0, n)
#define EPS (1e-10)
#define equals(a, b) (fabs((a) - (b)) < EPS)

using namespace std;

bool LT(double a, double b) { return !equals(a, b) && a < b; }
bool LTE(double a, double b) { return equals(a, b) || a < b; }

struct Point {
  double x, y, z;
  Point operator-(const Point &p) const {
    return (Point){x - p.x, y - p.y, z - p.z};
  }
  bool operator<(const Point &p) const {
    return ((!equals(z, p.z)) ? z > p.z
                              : ((!equals(y, p.y)) ? y < p.y : LT(x, p.x)));
  }
};

typedef pair<double, int> ii;

struct Edge {
  int to, cap;
  double cost;
  int rev;
  Edge(int to = 0, int cap = 0, double cost = 0, int rev = 0)
      : to(to), cap(cap), cost(cost), rev(rev) {}
};

const int MAX_V = 1100, IINF = INT_MAX;
int V;
vector<Edge> G[MAX_V];
double h[MAX_V], dist[MAX_V];
int prevv[MAX_V], preve[MAX_V];

inline void add_edge(int from, int to, int cap, double cost) {
  G[from].push_back(Edge(to, cap, cost, G[to].size()));
  G[to].push_back(Edge(from, 0, -cost, G[from].size() - 1));
}

double min_cost_flow(int s, int t) {
  double res = 0;
  fill(h, h + V, 0);
  while (1) {
    priority_queue<ii, vector<ii>, greater<ii>> Q;
    fill(dist, dist + V, IINF);
    dist[s] = 0;
    Q.push(ii(0, s));
    while (!Q.empty()) {
      ii p = Q.top();
      Q.pop();
      int v = p.second;
      if (dist[v] < p.first)
        continue;
      for (int i = 0; i < G[v].size(); i++) {
        Edge &e = G[v][i];
        if (LT(0, e.cap) &&
            !equals(dist[v] + e.cost + h[v] - h[e.to], dist[e.to]) &&
            dist[e.to] > dist[v] + e.cost + h[v] - h[e.to]) {
          dist[e.to] = dist[v] + e.cost + h[v] - h[e.to];
          prevv[e.to] = v;
          preve[e.to] = i;
          Q.push(ii(dist[e.to], e.to));
        }
      }
    }
    // if( dist[t] == IINF ) break;
    rep(v, V) h[v] += dist[v];
    if (h[t] >= 0LL)
      break;
    int d = IINF;
    for (int v = t; v != s; v = prevv[v])
      d = min(d, G[prevv[v]][preve[v]].cap);
    res += d * h[t];
    for (int v = t; v != s; v = prevv[v]) {
      Edge &e = G[prevv[v]][preve[v]];
      e.cap -= d;
      G[v][e.rev].cap += d;
    }
  }
  return res;
}

int N, K;
Point ps[100];

const double MAX = 10000;

double getDist(Point p) { return sqrt(p.x * p.x + p.y * p.y + p.z * p.z); }

void compute() {
  if (N <= K) {
    puts("0");
    return;
  }
  map<int, int> counter;
  bool failed = false;
  rep(i, N) counter[(int)ps[i].z]++;
  for (map<int, int>::iterator it = counter.begin(); it != counter.end();
       it++) {
    if (it->second > K) {
      failed = true;
      break;
    }
  }
  if (failed) {
    puts("-1");
    return;
  }
  rep(i, N * 4) G[i].clear();
  int source = N * 2;
  int sink = source + 2;
  V = sink + 1;
  add_edge(source, source + 1, K, 0);
  rep(i, N) {
    add_edge(source + 1, i, 1, 0);
    add_edge(i, N + i, 1, -MAX);
    add_edge(N + i, sink, 1, 0);
  }

  rep(i, N) rep(j, N) if (i != j && ps[i].z > ps[j].z) {
    add_edge(N + i, j, 1, getDist(ps[i] - ps[j]));
  }

  printf("%.10f\\n", min_cost_flow(source, sink) + N * MAX);
}

int main() {
  while (cin >> N >> K, N | K) {
    rep(i, N) cin >> ps[i].x >> ps[i].y >> ps[i].z;
    compute();
  }
  return 0;
}

/*
const int MAX_V = 110;////////////////////////////////////////////////////////
const float DINF = 1e10;
int N,K;
Point ps[MAX_V];
//double memo[MAX_V][MAX_V][MAX_V][MAX_V];
typedef unsigned long long ull;
const ull base = 1000000007ULL;
unordered_map<ull,float> memo;
float mini;

float abs(Point p) { return sqrt(p.x*p.x+p.y*p.y+p.z*p.z); }

float rec(int cur,int *prev,int kept){
  if( cur >= N ) return 0;
  //rep(i,4) cout << prev[i] << " "; cout << endl;
  int st[4];
  rep(i,4) st[i] = prev[i];
  sort(st,st+4);
  ull key = 0ULL;
  rep(i,4) {
    key *= base;
    key += (ull)(st[i]+1);
  }
  if( memo.count(key) ) return memo[key];
  //double &ret = memo[st[0]+1][st[1]+1][st[2]+1][st[3]+1];
  //if( !equals(ret,DINF) ) return ret;
  float ret = DINF;
  rep(i,4){
    if( i && prev[i-1] == -1 ) continue;
    int temp = prev[i];
    if( prev[i] == -1 ) {
      if( kept + 1 > K ) continue;
      if( i && prev[i-1] > cur ) continue;
      prev[i] = cur;
      ret = min(ret,rec(cur+1,prev,kept+1));
    } else {
      if( LT(ps[cur].z,ps[prev[i]].z) ) {
        if( i && prev[i-1] > cur ) continue;
        prev[i] = cur;
        ret = min(ret,rec(cur+1,prev,kept)+abs(ps[cur]-ps[temp]));
      }
    }
    prev[i] = temp;
  }
  return memo[key] = ret;
}

int main(){
  while( cin >> N >> K, N|K ){
    map<int,int> counter;
    bool failed = false;
    rep(i,N) {
      cin >> ps[i].x >> ps[i].y >> ps[i].z;
      int cnt = ++counter[ps[i].z];
      if( cnt > K ) failed = true;
    }
    if( failed ) { puts("-1"); continue; }
    sort(ps,ps+N);
    //rep(i,N+2) rep(j,N+2) rep(k,N+2) rep(l,N+2) memo[i][j][k][l] = DINF;
    memo.clear();
    int temp[4] = {-1,-1,-1,-1};
    mini = rec(0,temp,0);
    if( equals(mini,DINF) ) puts("-1");
    else printf("%.10lf\\n",mini);
  }
  return 0;
}
*/

Error: MLE

Fixed submission:

#include <bits/stdc++.h>

#define REP(i, s, n) for (int i = s; i < n; i++)
#define rep(i, n) REP(i, 0, n)
#define EPS (1e-10)
#define equals(a, b) (fabs((a) - (b)) < EPS)

using namespace std;

bool LT(double a, double b) { return !equals(a, b) && a < b; }
bool LTE(double a, double b) { return equals(a, b) || a < b; }

struct Point {
  double x, y, z;
  Point operator-(const Point &p) const {
    return (Point){x - p.x, y - p.y, z - p.z};
  }
  bool operator<(const Point &p) const {
    return ((!equals(z, p.z)) ? z > p.z
                              : ((!equals(y, p.y)) ? y < p.y : LT(x, p.x)));
  }
};

typedef pair<double, int> ii;

struct Edge {
  int to, cap;
  double cost;
  int rev;
  Edge(int to = 0, int cap = 0, double cost = 0, int rev = 0)
      : to(to), cap(cap), cost(cost), rev(rev) {}
};

const int MAX_V = 1100, IINF = INT_MAX;
int V;
vector<Edge> G[MAX_V];
double h[MAX_V], dist[MAX_V];
int prevv[MAX_V], preve[MAX_V];

inline void add_edge(int from, int to, int cap, double cost) {
  G[from].push_back(Edge(to, cap, cost, G[to].size()));
  G[to].push_back(Edge(from, 0, -cost, G[from].size() - 1));
}

double min_cost_flow(int s, int t) {
  double res = 0;
  fill(h, h + V, 0);
  while (1) {
    priority_queue<ii, vector<ii>, greater<ii>> Q;
    fill(dist, dist + V, IINF);
    dist[s] = 0;
    Q.push(ii(0, s));
    while (!Q.empty()) {
      ii p = Q.top();
      Q.pop();
      int v = p.second;
      if (dist[v] < p.first)
        continue;
      for (int i = 0; i < G[v].size(); i++) {
        Edge &e = G[v][i];
        if (LT(0, e.cap) &&
            !equals(dist[v] + e.cost + h[v] - h[e.to], dist[e.to]) &&
            dist[e.to] > dist[v] + e.cost + h[v] - h[e.to]) {
          dist[e.to] = dist[v] + e.cost + h[v] - h[e.to];
          prevv[e.to] = v;
          preve[e.to] = i;
          Q.push(ii(dist[e.to], e.to));
        }
      }
    }
    // if( dist[t] == IINF ) break;
    rep(v, V) h[v] += dist[v];
    if (h[t] >= 0LL)
      break;
    int d = IINF;
    for (int v = t; v != s; v = prevv[v])
      d = min(d, G[prevv[v]][preve[v]].cap);
    res += d * h[t];
    for (int v = t; v != s; v = prevv[v]) {
      Edge &e = G[prevv[v]][preve[v]];
      e.cap -= d;
      G[v][e.rev].cap += d;
    }
  }
  return res;
}

int N, K;
Point ps[100];

const double MAX = 10000;

double getDist(Point p) { return sqrt(p.x * p.x + p.y * p.y + p.z * p.z); }

void compute() {
  map<int, int> counter;
  bool failed = false;
  rep(i, N) counter[(int)ps[i].z]++;
  for (map<int, int>::iterator it = counter.begin(); it != counter.end();
       it++) {
    if (it->second > K) {
      failed = true;
      break;
    }
  }
  if (failed) {
    puts("-1");
    return;
  }
  rep(i, N * 4) G[i].clear();
  int source = N * 2;
  int sink = source + 2;
  V = sink + 1;
  add_edge(source, source + 1, K, 0);
  rep(i, N) {
    add_edge(source + 1, i, 1, 0);
    add_edge(i, N + i, 1, -MAX);
    add_edge(N + i, sink, 1, 0);
  }

  rep(i, N) rep(j, N) if (i != j && ps[i].z > ps[j].z) {
    add_edge(N + i, j, 1, getDist(ps[i] - ps[j]));
  }

  printf("%.10f\\n", min_cost_flow(source, sink) + N * MAX);
}

int main() {
  while (cin >> N >> K, N | K) {
    rep(i, N) cin >> ps[i].x >> ps[i].y >> ps[i].z;
    compute();
  }
  return 0;
}

/*
const int MAX_V = 110;////////////////////////////////////////////////////////
const float DINF = 1e10;
int N,K;
Point ps[MAX_V];
//double memo[MAX_V][MAX_V][MAX_V][MAX_V];
typedef unsigned long long ull;
const ull base = 1000000007ULL;
unordered_map<ull,float> memo;
float mini;

float abs(Point p) { return sqrt(p.x*p.x+p.y*p.y+p.z*p.z); }

float rec(int cur,int *prev,int kept){
  if( cur >= N ) return 0;
  //rep(i,4) cout << prev[i] << " "; cout << endl;
  int st[4];
  rep(i,4) st[i] = prev[i];
  sort(st,st+4);
  ull key = 0ULL;
  rep(i,4) {
    key *= base;
    key += (ull)(st[i]+1);
  }
  if( memo.count(key) ) return memo[key];
  //double &ret = memo[st[0]+1][st[1]+1][st[2]+1][st[3]+1];
  //if( !equals(ret,DINF) ) return ret;
  float ret = DINF;
  rep(i,4){
    if( i && prev[i-1] == -1 ) continue;
    int temp = prev[i];
    if( prev[i] == -1 ) {
      if( kept + 1 > K ) continue;
      if( i && prev[i-1] > cur ) continue;
      prev[i] = cur;
      ret = min(ret,rec(cur+1,prev,kept+1));
    } else {
      if( LT(ps[cur].z,ps[prev[i]].z) ) {
        if( i && prev[i-1] > cur ) continue;
        prev[i] = cur;
        ret = min(ret,rec(cur+1,prev,kept)+abs(ps[cur]-ps[temp]));
      }
    }
    prev[i] = temp;
  }
  return memo[key] = ret;
}

int main(){
  while( cin >> N >> K, N|K ){
    map<int,int> counter;
    bool failed = false;
    rep(i,N) {
      cin >> ps[i].x >> ps[i].y >> ps[i].z;
      int cnt = ++counter[ps[i].z];
      if( cnt > K ) failed = true;
    }
    if( failed ) { puts("-1"); continue; }
    sort(ps,ps+N);
    //rep(i,N+2) rep(j,N+2) rep(k,N+2) rep(l,N+2) memo[i][j][k][l] = DINF;
    memo.clear();
    int temp[4] = {-1,-1,-1,-1};
    mini = rec(0,temp,0);
    if( equals(mini,DINF) ) puts("-1");
    else printf("%.10lf\\n",mini);
  }
  return 0;
}
*/