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  • [HNOI2006]马步距离

     嘟嘟嘟

    这题首先直接bfs可定过不了,因此可以先贪心缩小两个点的距离,直到达到某一个较小的范围(我用的是30),再bfs暴力求解。

    首先我们求出这两个点的相对距离x, y,这样就相当于从(x, y) 走到(0, 0)。然后贪心时,x, y哪一个大,就-=2,另一个--。注意的是要一直保持x, y都是正的,所以每次去绝对值,这种做法正确性可以保证,因为根据题中给的图,可以知道他有对称性。

     1 #include<cstdio>
     2 #include<iostream>
     3 #include<algorithm>
     4 #include<cmath>
     5 #include<cstring>
     6 #include<cstdlib>
     7 #include<stack>
     8 #include<queue>
     9 #include<vector>
    10 #include<cctype>
    11 using namespace std;
    12 #define enter puts("")
    13 #define space putchar(' ')
    14 #define Mem(a) memset(a, 0, sizeof(a))
    15 typedef long long ll;
    16 typedef double db;
    17 const int INF = 0x3f3f3f3f;
    18 const db eps = 1e-8;
    19 const int maxn = 105;
    20 inline ll read()
    21 {
    22     ll ans = 0;
    23     char ch = getchar(), last = ' ';
    24     while(!isdigit(ch)) {last = ch; ch = getchar();}
    25     while(isdigit(ch)) {ans = ans * 10 + ch - '0'; ch = getchar();}
    26     if(last == '-') ans = -ans;
    27     return ans;
    28 }
    29 inline void write(ll x)
    30 {
    31     if(x < 0) putchar('-'), x = -x;
    32     if(x >= 10) write(x / 10);
    33     putchar(x % 10 + '0');
    34 }
    35 
    36 ll cnt = 0;
    37 
    38 int dx[10] = {0, -2, -1, 1, 2, 2, 1, -1, -2}, dy[10] = {0, 1, 2, 2, 1, -1, -2, -2, -1};
    39 bool vis[maxn][maxn];
    40 struct Node
    41 {
    42     int x, y, dis;
    43 };
    44 int bfs(int x, int y)
    45 {
    46     queue<Node> q;
    47     q.push((Node){x, y, 0});
    48     vis[x][y] = 1;
    49     while(!q.empty())
    50     {
    51         Node now = q.front(); q.pop();
    52         for(int i = 1; i <= 8; ++i)
    53         {
    54             int newx = now.x + dx[i], newy = now.y + dy[i];
    55             if(newx == 30 && newy == 30) return now.dis + 1;
    56             if(newx >= 0 && newx <= 60 && newy >= 0 && newy <= 60 && !vis[newx][newy])
    57             {
    58                 vis[newx][newy] = 1;
    59                 q.push((Node){newx, newy, now.dis + 1});
    60             }
    61         }
    62     }
    63     return 0;
    64 }
    65 
    66 int main()
    67 {
    68     int xp = read(), yp = read(), xs = read(), ys = read();
    69     int x = abs(xp - xs), y = abs(yp - ys);
    70     while(x + y > 30)
    71     {
    72         if(x < y) swap(x, y);
    73         x -= 2; y -= 1;
    74         cnt++;
    75         x = abs(x); y = abs(y);
    76     }
    77     cnt += bfs(x + 30, y + 30);        //防止下标出现负数 
    78     write(cnt); enter;
    79 }
    View Code
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  • 原文地址:https://www.cnblogs.com/mrclr/p/9499929.html
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