本文主要是介绍POJ 3083--Children of the Candy Corn,希望对大家解决编程问题提供一定的参考价值,需要的开发者们随着小编来一起学习吧!
题目:这是题目
题意:一个迷宫,从S点走到E点,求一直靠墙向左走和靠墙向右走以及随便走的最短路, 保证数据的合法性,一定会有路。
定义的方向:
int x[4] = {0, -1, 0, 1};//左 上 右 下
int y[4] = {-1, 0, 1, 0};
思路:要求靠墙向左走和靠墙向右走,用DFS,求随便走最短路用BFS。该题的比较难的地方是处理方向。
对于一直靠墙向左走,如下图,假设你到达红色的点,方向是turn,此时首先判断左边是否有路,判断方向为(turn + 3)% 4,如果左边没路,则判断前面(turn),如果前面没路,则判断右边,否则判断下面(当然这个方向是相对方向) 。
对于一直靠墙向右走,同如下图,假设你到达红色的点,先判断右边是否有路(turn + 1)% 4, 如果没有路,再判断前面(turn),再判断左边(turn + 3)% 4, 否则判断下面(turn + 2)% 4。
好了方向问题搞清楚了, 那么靠墙向左走,循环的方向依次为 (turn + 3)% 4, turn ,(turn + 1)% 4,(turn + 2)% 4,那么循环可以有个规律,
for (int i = 3, k = 0; k < 4; i = (i + 1) % 4, k++)
turn = (turn + i)% 4;
靠墙向右走的循环方向依次为(turn + 1)% 4, turn ,(turn + 3)% 4,(turn + 2)% 4,循环为:
for (int i = 1, k = 0; k < 4; i = (i + 3) % 4, k++)
turn = (turn + i)% 4;
实现如下:
#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <queue>
#include <math.h>
using namespace std;const int MAX = 45;
char _map[MAX][MAX];
bool visit[MAX][MAX];int w, h;
int sx1, sy1, sx2, sy2, ex, ey;
int sum1, sum2;
int x[4] = {0, -1, 0, 1};//左 上 右 下
int y[4] = {-1, 0, 1, 0};bool judge(int x, int y) {if (x >= 0 && x < h && y >= 0 && y < w && (_map[x][y] == '.' || _map[x][y] == 'E') )return true;return false;
}
//判断是否能走
struct node {int xxx, yyy;char key;int step;
};void dfs_right(int xx, int yy, int turn) {if (xx == ex && yy == ey)return;else {for (int i = 1, k = 0; k < 4; i = (i + 3) % 4, k++) {if (judge(xx + x[(turn + i) % 4], yy + y[(turn + i) % 4])) {sum2++;dfs_right(xx + x[(turn + i) % 4], yy + y[(turn + i) % 4], (turn + i) % 4);break;}}}
}void dfs_left(int xx, int yy, int turn) {if (xx == ex && yy == ey)return;else {for (int i = 3, k = 0; k < 4; i = (i + 1) % 4, k++) {if (judge(xx + x[(turn + i) % 4],yy + y[(turn + i) % 4])) {sum1++;dfs_left(xx + x[(turn + i) % 4], yy + y[(turn + i) % 4], (turn + i) % 4);break;}}}
}void turn_left() {if (judge(sx1, sy1 - 1)) {dfs_left(sx1, sy1 - 1, 0);}else if (judge(sx1 - 1, sy1)) {dfs_left(sx1 - 1, sy1, 1);}else if (judge(sx1, sy1 + 1)) {dfs_left(sx1, sy1 + 1, 2);}else {dfs_left(sx1 + 1, sy1, 3);}
}void turn_right() {if (judge(sx2, sy2 + 1)) {dfs_right(sx2, sy2 + 1, 2);}else if (judge(sx2 + 1, sy2)) {dfs_right(sx2 + 1, sy2, 3);}else if (judge(sx2, sy2 - 1)) {dfs_right(sx2, sy2 - 1, 0);}else {dfs_right(sx2 - 1, sy2, 1);}
}int bfs() {queue <node>q;node start;start.xxx = sx1;start.yyy = sy1;start.key = 'S';start.step = 1;q.push(start);while (!q.empty()) {node head, tail;head = q.front();q.pop();if (head.xxx == ex && head.yyy == ey)return head.step;for (int i = 0; i < 4; i++) {int xi = head.xxx + x[i];int yi = head.yyy + y[i];if (xi >= 0 && xi < h && yi >= 0 && yi < w && !visit[xi][yi]) {tail.xxx = xi;tail.yyy = yi;tail.key = _map[xi][yi];tail.step = head.step + 1;visit[xi][yi] = true;q.push(tail);}}}return -1;
}int main() {int t;scanf("%d", &t);while(t--) {memset(visit, false, sizeof(visit));scanf("%d%d", &w, &h);getchar();for (int i = 0; i < h; i++) {for (int j = 0; j < w; j++) {scanf("%c", &_map[i][j]);if (_map[i][j] == '#')visit[i][j] = true;else if (_map[i][j] == 'S') {sx1 = i;sx2 = i;sy1 = j;sy2 = j;}else if (_map[i][j] == 'E') {ex = i;ey = j;}}getchar();}sum1 = 1;sum2 = 1;turn_left();turn_right();cout << sum1 + 1 << " " << sum2 + 1 << " " << bfs() << endl;}
}
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