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矩阵拿宝物--Codeforces 1201D - Treasure Hunti…

2019-08-16 08:00:07来源：博客园阅读 ()

矩阵拿宝物--Codeforces 1201D - Treasure Hunting Codeforces Round #577 (Div. 2)

网上题解比较少，自己比较弱研究了半天（已经过了），希望对找题解的人有帮助

题目链接：https://codeforc.es/contest/1201/problem/D

题意: 给你一个矩形，起始点在(1,1),在给定坐标有宝物，你要将整个图中的宝物全部拿到，而且你不能向下走（左右随意），而且只有在所给出的列上你才能向上走，问最少要走多少格

#define IOS ios_base::sync_with_stdio(0); cin.tie(0);
#include <cstdio>//sprintf islower isupper
#include <cstdlib>//malloc  exit strcat itoa system("cls")
#include <iostream>//pair
#include <fstream>
#include <bitset>
//#include <map>
//#include<unordered_map>  https://codeforc.es/contest/1201/problem/D
#include <vector>
#include <stack>
#include <set>
#include <string.h>//strstr substr
#include <string>
#include <time.h>//srand(((unsigned)time(NULL))); Seed n=rand()%10 - 0~9;
#include <cmath>
#include <deque>
#include <queue>//priority_queue<int, vector<int>, greater<int> > q;//less
#include <vector>//emplace_back
//#include <math.h>
//#include <windows.h>//reverse(a,a+len);// ~ ! ~ ! floor
#include <algorithm>//sort + unique : sz=unique(b+1,b+n+1)-(b+1);+nth_element(first, nth, last, compare)
using namespace std;//next_permutation(a+1,a+1+n);//prev_permutation
#define fo(a,b,c) for(register int a=b;a<=c;++a)
#define fr(a,b,c) for(register int a=b;a>=c;--a)
#define mem(a,b) memset(a,b,sizeof(a))
#define pr printf
#define sc scanf
void swapp(int &a,int &b);
double fabss(double a);
int maxx(int a,int b);
int minn(int a,int b);
int Del_bit_1(int n);
int lowbit(int n);
int abss(int a);
const long long INF=(1LL<<60);
const double E=2.718281828;
const double PI=acos(-1.0);
const int inf=(1<<29);
const double ESP=1e-9;
const int mod=(int)1e9+7;
const int N=(int)2e5+10;

int dis(int a,int b)
{
    return abss(a-b);
}
int L[N],R[N],LV[N],RV[N];
struct node
{
    int x,y;
    friend bool operator<(node a,node b)
    {
        if(a.y==b.y)
            return a.x<b.x;
        return a.y<b.y;
    }
}_[N];
int is[N];

int main()
{
    int n,m,k,q,n_=0;
    sc("%d%d%d%d",&n,&m,&k,&q);
    fo(i,1,k)sc("%d%d",&_[i].y,&_[i].x);//题目中取完一行只可能停留在头和尾
    sort(_+1,_+1+k);                    //下一行进行转移就行了
    fo(i,1,k)
    {
        int tx=_[i].x,ty=_[i].y;
        n_=maxx(n_,ty);
        if(!LV[ty])LV[ty]=tx;        //预处理
        else LV[ty]=minn(tx,LV[ty]);//宝藏的最左
        if(!RV[ty])RV[ty]=tx;
        else RV[ty]=maxx(tx,RV[ty]);//宝藏的最右
    }
    fo(i,1,q)sc("%d",&is[i]),L[is[i]]=R[is[i]]=is[i];
    sort(is+1,is+1+q);              //预处理
    fo(i,1,m)if(!L[i])L[i]=L[i-1];//左邻近的安全列
    fr(i,m,1)if(!R[i])R[i]=R[i+1];//右邻近的安全列
    int posl=1,posr=1;
    long long ans=0,preresl=0,preresr=0;
    fo(i,1,n_)
    {
        if(i==1)
        {
            if(RV[i])
                ans=dis(posl,RV[i]),posl=posr=RV[i];
            preresl=preresr=ans;
        }
        else
        {
            preresl++;preresr++;//除了第一行其他只要上升了,用于转移的左右停留状态都要+1;
            if(LV[i]==0&&RV[i]==0)
                continue;
            long long resl=INF,resr=INF;
            if(L[posl])resl=min(resl,preresl+dis(posl,L[posl])+dis(L[posl],RV[i])+dis(RV[i],LV[i]));
            if(R[posl])resl=min(resl,preresl+dis(posl,R[posl])+dis(R[posl],RV[i])+dis(RV[i],LV[i]));
            if(L[posr])resl=min(resl,preresr+dis(posr,L[posr])+dis(L[posr],RV[i])+dis(RV[i],LV[i]));
            if(R[posr])resl=min(resl,preresr+dis(posr,R[posr])+dis(R[posr],RV[i])+dis(RV[i],LV[i]));
            //进行转移;
            if(L[posl])resr=min(resr,preresl+dis(posl,L[posl])+dis(L[posl],LV[i])+dis(RV[i],LV[i]));
            if(R[posl])resr=min(resr,preresl+dis(posl,R[posl])+dis(R[posl],LV[i])+dis(RV[i],LV[i]));
            if(L[posr])resr=min(resr,preresr+dis(posr,L[posr])+dis(L[posr],LV[i])+dis(RV[i],LV[i]));
            if(R[posr])resr=min(resr,preresr+dis(posr,R[posr])+dis(R[posr],LV[i])+dis(RV[i],LV[i]));
            ans=min(resl,resr);
            preresl=resl;
            preresr=resr;
            posl=LV[i];
            posr=RV[i];
        }
    }
    pr("%lld\n",ans);
    return 0;
}

/**************************************************************************************/

int maxx(int a,int b)
{
    return a>b?a:b;
}

void swapp(int &a,int &b)
{
    a^=b^=a^=b;
}

int lowbit(int n)
{
    return n&(-n);
}

int Del_bit_1(int n)
{
    return n&(n-1);
}

int abss(int a)
{
    return a>0?a:-a;
}

double fabss(double a)
{
    return a>0?a:-a;
}

int minn(int a,int b)
{
    return a<b?a:b;
}