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#include <bits/stdc++.h>
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using namespace std;
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//功能: 通过不断的判断公主的位置,完成对棋盘进行L形的填充,要求填充完整,不能有遗漏,不能冒出去棋盘。
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//参数:棋盘左上,棋盘右下,公主位置
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void dfs(int x1, int y1, int x2, int y2, int gz_x, int gz_y) {
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//变成了2*2(递归出口)
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if (x2 - x1 == 1 && y2 - y1 == 1) {
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//具体用哪号地毯,可以参考题解上方的地毯图形说明
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if (gz_x == x1 && gz_y == y1) printf("%d %d 1\n", x2, y2); //公主在左上,1号地毯
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if (gz_x == x1 && gz_y == y2) printf("%d %d 2\n", x2, y1); //公主在右上,2号地毯
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if (gz_x == x2 && gz_y == y1) printf("%d %d 3\n", x1, y2); //公主在左下,3号地毯
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if (gz_x == x2 && gz_y == y2) printf("%d %d 4\n", x1, y1); //公主在右下,4号地毯
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return;//最后一块铺完,Game Over~ 递归出口
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}
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//取出中心点,举个栗子:5~8,则(8-5)/2+5=6,就是5~8之间的中心点是6,靠近小的那边
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int mid_x = (x2 - x1) / 2 + x1;
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int mid_y = (y2 - y1) / 2 + y1;
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//接下来就是分治特殊点的位置,往那个方向搜索。
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if (gz_x <= mid_x && gz_y <= mid_y) { //公主在左上
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dfs(x1, y1, mid_x, mid_y, gz_x, gz_y); //递归左上角
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printf("%d %d 1\n", mid_x + 1, mid_y + 1); //放上去一个1号地毯,相当于构建了三个虚拟的公主
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dfs(mid_x + 1, y1, x2, mid_y, mid_x + 1, mid_y); //左下角(虚拟公主在左下角的右上角)
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dfs(mid_x + 1, mid_y + 1, x2, y2, mid_x + 1, mid_y + 1);//右下角(虚拟公主在右下角的左上角)
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dfs(x1, mid_y + 1, mid_x, y2, mid_x, mid_y + 1); //右上角(虚拟公主在右上角的左下角)
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}
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if (gz_x <= mid_x && gz_y > mid_y) { //右上
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dfs(x1, mid_y + 1, mid_x, y2, gz_x, gz_y); //递归右上角
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printf("%d %d 2\n", mid_x + 1, mid_y); //放上去一个2号地毯,相当于构建了三个虚拟的公主
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dfs(x1, y1, mid_x, mid_y, mid_x, mid_y); //左上角 (虚拟公主在左上角的右下角)
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dfs(mid_x + 1, y1, x2, mid_y, mid_x + 1, mid_y); //左下角 (虚拟公主在左下角的右上角)
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dfs(mid_x + 1, mid_y + 1, x2, y2, mid_x + 1, mid_y + 1); //右下角 (虚拟公主在右下角的左上角)
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}
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if (gz_x > mid_x && gz_y <= mid_y) { //左下
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dfs(mid_x + 1, y1, x2, mid_y, gz_x, gz_y); //递归左下角
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printf("%d %d 3\n", mid_x, mid_y + 1); //放上去一个3号地毯,相当于构建了三个虚拟的公主
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dfs(mid_x + 1, mid_y + 1, x2, y2, mid_x + 1, mid_y + 1); //右下角(虚拟公主在右下角的左上角)
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dfs(x1, y1, mid_x, mid_y, mid_x, mid_y); //左上角(虚拟公主在左上角的右下角)
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dfs(x1, mid_y + 1, mid_x, y2, mid_x, mid_y + 1); //右上角(虚拟公主在右上角的左下角)
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}
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if (gz_x > mid_x && gz_y > mid_y) { //右下
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dfs(mid_x + 1, mid_y + 1, x2, y2, gz_x, gz_y);//递归右下角
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printf("%d %d 4\n", mid_x, mid_y); //放上去一个4号地毯,相当于构建了三个虚拟的公主
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dfs(x1, y1, mid_x, mid_y, mid_x, mid_y); //左上角(虚拟公主在左上角的右下角)
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dfs(x1, mid_y + 1, mid_x, y2, mid_x, mid_y + 1); //右上角(虚拟公主在右上角的左下角)
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dfs(mid_x + 1, y1, x2, mid_y, mid_x + 1, mid_y); //左下角(虚拟公主在左下角的右上角)
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}
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}
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int main() {
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int x, y; //公主的位置
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int k; //2^k是棋盘的大小
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cin >> k >> x >> y;
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//递归
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int n = 1 << k; //计算n=2^k,用位运算更快
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//开始铺地毯的坐标x1,y1;结束铺地毯的坐标x2,y2; 最后两个参数是公主的位置
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dfs(1, 1, n, n, x, y);
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return 0;
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} |