Submission #274756

#	Time	Username	Problem	Language	Result	Execution time	Memory
274756		stoyan_malinin	Aliens (IOI16_aliens)	C++14	41 / 100	739 ms	171096 KiB

aliens

#include "aliens.h"
//#include "grader.cpp"

#include <cmath>
#include <vector>
#include <iostream>
#include <algorithm>

using namespace std;

const int MAXN = 4005;

struct Point
{
    int r, c;

    Point(){}
    Point(int r, int c)
    {
        this->r = r;
        this->c = c;
    }
};

bool cmpCol(Point A, Point B)
{
    if(A.c!=B.c) return A.c<B.c;
    return A.r>B.r;
}

int n, m, k;
long long dp[MAXN][MAXN];

vector <Point> v;
int squareSz[MAXN][MAXN], leftestCover[MAXN][MAXN];

void init()
{
    for(int i = 0;i<n;i++)
    {
        for(int j = 0;j<=k;j++)
        {
            dp[i][j] = 6969696966969LL;
        }
    }

    vector <bool> toRemove;
    toRemove.assign(v.size(), false);

    for(int i = 0;i<n;i++)
    {
        int d = v[i].c - v[i].r + 1;
        for(int j = 0;j<i;j++)
        {
            if(v[i].c-v[j].c<d && abs(v[i].c-v[j].r)<d)
            {
                toRemove[j] = true;
            }
        }
    }

    vector <Point> newV;
    for(int i = 0;i<v.size();i++)
    {
        if(toRemove[i]==false) newV.push_back(v[i]);
    }

    v = newV;
    n = v.size();

    for(int r = 0;r<v.size();r++)
    {
        //cout << v[r].r << " --- " << v[r].c << '\n';

        int maxDist = -1;
        for(int l = r;l>=0;l--)
        {
            maxDist = max(maxDist, (v[l].c-v[l].r)+(v[r].c-v[l].c));
            squareSz[l][r] = maxDist + 1;
        }
    }

    //cout << "->" << leftestCover[1][4] << '\n';
}

long long squareNum(long long x)
{
    if(x<0) return 0;
    return x*x;
}

int opt[MAXN][MAXN];
long long take_photos(int _n, int _m, int _k, vector<int> r, vector<int> c)
{
    n = _n;
    m = _m;
    k = _k;

    for(int i = 0;i<n;i++)
    {
        if(c[i]<r[i]) swap(c[i], r[i]);
    }

    for(int i = 0;i<n;i++) v.push_back(Point(r[i], c[i]));
    sort(v.begin(), v.end(), cmpCol);

    init();
    for(int i = 0;i<n;i++) dp[i][0] = squareNum(squareSz[0][i]);
    for(int j = 1;j<k;j++)
    {
        //cout << v[i].r << " --- " << v[i].c << '\n';
        //if(i!=n-1 && v[i].c==v[i+1].c) continue;

        for(int i = n-1;i>=0;i--)
        {
            int lOpt = ((j==1)?0:opt[i][j-1]);
            int rOpt = ((i==n-1)?i:opt[i+1][j]);
            //cout << lOpt << " --- " << rOpt << '\n';

            dp[i][j] = squareNum(squareSz[0][i]);
            for(int p = lOpt;p<=rOpt;p++)
            {
                long long curr;
                if(p!=0) curr = dp[p-1][j-1] + squareNum(squareSz[p][i])
                                - squareNum(v[p-1].c-(v[i].c-squareSz[p][i]));
                else
                    curr = squareNum(squareSz[p][i]);

                if(dp[i][j]>curr)
                {
                    opt[i][j] = p;
                    dp[i][j] = curr;
                }
                //cout << p << " -> " << squareNum(v[p-1].c-(v[i].c-squareSz[p][i])) << " " << side << '\n';
            }
        }

        //cout << dp[i][0] << " $$$ " << dp[i][1] << '\n';
    }

    long long answer = 6996969969696996LL;
    for(int i = 0;i<k;i++) answer = min(answer, dp[n-1][i]);

    return answer;
}
/*
5 7 2
0 3
4 4
4 6
4 5
4 6

5 10 2
0 3
3 4
4 3
3 3
4 2
*/

Compilation message (stderr)

aliens.cpp: In function 'void init()':
aliens.cpp:63:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Point>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   63 |     for(int i = 0;i<v.size();i++)
      |                   ~^~~~~~~~~
aliens.cpp:71:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Point>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |     for(int r = 0;r<v.size();r++)
      |                   ~^~~~~~~~~

• Subtask 1: 4 / 4
• Subtask 2: 12 / 12
• Subtask 3: 9 / 9
• Subtask 4: 16 / 16
• Subtask 5: 0 / 19
• Subtask 6: 0 / 40