poj 1915 Knight Moves 【雙向bfs】
阿新 • • 發佈:2017-05-07
ask blank time problem one sum for urn ==
Knight Moves
Mr Somurolov, fabulous chess-gamer indeed, asserts that no one else but him can move knights from one position to another so fast. Can you beat him?
Next follow n scenarios. Each scenario consists of three lines containing integer numbers. The first line specifies the length l of a side of the chess board (4 <= l <= 300). The entire board has size l * l. The second and third line contain pair of integers {0, ..., l-1}*{0, ..., l-1} specifying the starting and ending position of the knight on the board. The integers are separated by a single blank. You can assume that the positions are valid positions on the chess board of that scenario.
For each scenario of the input you have to calculate the minimal amount of knight moves which are necessary to move from the starting point to the ending point. If starting point and ending point are equal,distance is zero. The distance must be written on a
single line.
Time Limit: 1000MS | Memory Limit: 30000K | |
Total Submissions: 22121 | Accepted: 10332 |
Description
BackgroundMr Somurolov, fabulous chess-gamer indeed, asserts that no one else but him can move knights from one position to another so fast. Can you beat him?
The Problem
Your task is to write a program to calculate the minimum number of moves needed for a knight to reach one point from another, so that you have the chance to be faster than Somurolov.
For people not familiar with chess, the possible knight moves are shown in Figure 1.
Input
The input begins with the number n of scenarios on a single line by itself.Next follow n scenarios. Each scenario consists of three lines containing integer numbers. The first line specifies the length l of a side of the chess board (4 <= l <= 300). The entire board has size l * l. The second and third line contain pair of integers {0, ..., l-1}*{0, ..., l-1} specifying the starting and ending position of the knight on the board. The integers are separated by a single blank. You can assume that the positions are valid positions on the chess board of that scenario.
Output
Sample Input
3 8 0 0 7 0 100 0 0 30 50 10 1 1 1 1
Sample Output
5 28 0
分析:最基礎的bfs,沒用單向的廣搜,學習了一下怎麽用雙向的廣搜。
下面僅個人觀點。
。。
能用到雙向廣搜的題,首先得有開始點和目標點。然後就是從開始和目標同一時候出發,分別進行單向搜索,知道某一方向的搜索碰到還有一方向搜索過得點為止。。
#include <stdio.h> #include <queue> #include <string.h> #define M 305 using namespace std; int dis1[M][M], dis2[M][M], len; const int dx[] = {1, 1, -1, -1, 2, 2, -2, -2}; //方向 const int dy[] = {2, -2, 2, -2, 1, -1, 1, -1}; struct node{ int x, y; }st, en; int limit(node a){ return (a.x>=0&&a.x<len&&a.y>=0&&a.y<len); } void dobfs(){ int i, size; dis1[st.x][st.y] = dis2[en.x][en.y] = 0; queue<node> p, q; q.push(st); p.push(en); while(!q.empty()&&!p.empty()){ size = q.size(); while(size --){ node cur = q.front(); q.pop(); if(limit(cur)&&dis2[cur.x][cur.y] != -1){ //printf("%d %d..1\n", dis1[cur.x][cur.y], dis2[cur.x][cur.y]); printf("%d\n", dis1[cur.x][cur.y]+dis2[cur.x][cur.y]); return ; } for(i = 0; i < 8; i ++){ node temp = cur; temp.x+=dx[i], temp.y += dy[i]; if(limit(temp)&&dis2[temp.x][temp.y] != -1){ //printf("%d %d....1\n", dis1[cur.x][cur.y], dis2[temp.x][temp.y]); printf("%d\n", dis1[cur.x][cur.y]+dis2[temp.x][temp.y]+1); return ; } if(limit(temp)&&dis1[temp.x][temp.y] == -1){ q.push(temp); dis1[temp.x][temp.y] = dis1[cur.x][cur.y]+1; } } } size = p.size(); while(size --){ node cur = p.front(); p.pop(); if(limit(cur)&&dis1[cur.x][cur.y] != -1){ //printf("%d %d..2\n", dis1[cur.x][cur.y], dis2[cur.x][cur.y]); printf("%d\n", dis1[cur.x][cur.x]+dis2[cur.x][cur.y]); return ; } for(i = 0; i < 8; i ++){ node temp = cur; temp.x += dx[i]; temp.y += dy[i]; if(limit(temp)&&dis1[temp.x][temp.y] != -1){ //printf("%d %d....2\n", dis2[cur.x][cur.y], dis1[temp.x][temp.y]); printf("%d\n", dis1[temp.x][temp.y]+dis2[cur.x][cur.y]+1); return ; } if(limit(temp)&&dis2[temp.x][temp.y] == -1){ p.push(temp); dis2[temp.x][temp.y] = dis2[cur.x][cur.y] + 1; } } } } } int main(){ int t; scanf("%d", &t); while(t --){ scanf("%d", &len); scanf("%d%d%d%d", &st.x, &st.y, &en.x, &en.y); memset(dis1, -1, sizeof(dis1)); memset(dis2, -1, sizeof(dis2)); if(match(st, en)){ printf("0\n"); continue; } else dobfs(); } return 0; }
poj 1915 Knight Moves 【雙向bfs】