现在有一个城市销售经理，需要从公司出发，去拜访市内的商家，已知他的位置以及商家的位置，但是由于城市道路交通的原因，他只能在左右中选择一个方向，在上下中选择一个方向，现在问他有多少种方案到达商家地址。给定一个地图map及它的长宽n和m，其中1代表经理位置，2代表商家位置，-1代表不能经过的地区，0代表可以经过的地区，请返回方案数，保证一定存在合法路径。保证矩阵的长宽都小于等于10。

include "stdafx.h"

#include<iostream>
#include<vector>
#include<algorithm>
#include<iomanip>
using namespace std;
class Visit {
public:
	int countPath(vector<vector<int> > map, int n, int m) {
		int count=0;
		int compX, compY, sellerX,sellerY;
		for (int i = 0;i < map.size();i++)
		{
			for (int j = 0;j < map[0].size();j++)
			{
				if (map[i][j] == 1)
				{
					compX = i; compY = j;
				//	cout << "i:" << i << endl;
				//	cout << "j:" << j << endl;
				}
				if (map[i][j] == 2)
				{
					sellerX = i, sellerY = j;
				//	cout << "i:" << i << endl;
				//	cout << "j:" << j << endl;
				}
			}
		}
		int minX = min(sellerX,compX);
		int maxX = max(sellerX, compX);
		int minY = min(sellerY, compY);
		int maxY = max(sellerY, compY);
		vector<vector<int> > mapp;
		for (int i = minX;i <= maxX;i++)
		{
			vector<int> vec;
			for (int j = minY;j <= maxY;j++)
			{
				vec.push_back(map[i][j]);
			}
			mapp.push_back(vec);
		}
		if (mapp[0][0] == 1)
		{
			return getPathLR(mapp);
		}else if(mapp[mapp.size()-1][0] == 1)
		{
			return getPathHR(mapp);
		}
		else if (mapp[0][mapp[0].size()-1] == 1)
		{
			return getPathLL(mapp);
		}
		else
		{
			return getPathHL(mapp);
		}
	}
	int getPathLR(vector<vector<int> > map) {
	//	if (map[0][0] != 1) return 0;
		if (map.size() == 1)
		{
			int num = 0;
			for (int i = 0;i < map[0].size();i++)
			{
				if (map[0][i] == -1)
				{
					num = 0;
					break;
				}
				if (map[0][i] == 2)
				{
					num = 1;
					break;
				}
			}
			return num;
		}
		if (map[0].size() == 1)
		{
			int num = 0;
			for (int i = 0;i < map.size();i++)
			{
				if (map[i][0] == -1)
				{
					num = 0;
					break;
				}
				if (map[i][0] == 2)
				{
					num = 1;
					break;
				}
			}
			return num;
		}
		return getPathLR(deleteRowLR( map) )+ getPathLR(deleteColLR(map));
	}
	vector<vector<int> > deleteRowLR(vector<vector<int> > map)
	{
		map.erase(map.begin());
		return map;
	}
	vector<vector<int> > deleteColLR(vector<vector<int> > map)
	{
		for (int i = 0;i < map.size();i++)
		{
			map[i].erase(map[i].begin());
		}
		return map;
	}
	int getPathHR(vector<vector<int> > map) {
//		if (map[map.size()-1][0] != 1) return 0;
		if (map.size() == 1)
		{
			int num = 0;
			for (int i = 0;i < map[0].size();i++)
			{
				if (map[0][i] == -1)
				{
					num = 0;
					break;
				}
				if (map[0][i] == 2)
				{
					num = 1;
					break;
				}
			}
			return num;
		}
		if (map[0].size() == 1)
		{
			int num = 0;
			for (int i = map.size()-1;i >=0;i--)
			{
				if (map[i][0] == -1)
				{
					num = 0;
					break;
				}
				if (map[i][0] == 2)
				{
					num = 1;
					break;
				}
			}
			return num;
		}
		return getPathHR(deleteRowHR(map)) + getPathHR(deleteColHR(map));
	}
	vector<vector<int> > deleteRowHR(vector<vector<int> > map)
	{
		map.erase(map.end()-1);
		return map;
	}
	vector<vector<int> > deleteColHR(vector<vector<int> > map)
	{
		for (int i = 0;i < map.size();i++)
		{
			map[i].erase(map[i].begin());
		}
		return map;
	}
	int getPathLL(vector<vector<int> > map) {
	//	if (map[0][map[0].size() - 1] != 1) return 0;
		int count = 0;
		if (map.size() == 1)
		{
			int num = 0;
			for (int i = map[0].size()-1;i >=0;i--)
			{
				if (map[0][i] == -1)
				{
					num = 0;
					break;
				}
				if (map[0][i] == 2)
				{
					num = 1;
					break;
				}
			}
			return num;
		}
		if (map[0].size() == 1)
		{
			int num = 0;
			for (int i = 0;i < map.size();i++)
			{
				if (map[i][0] == -1)
				{
					num = 0;
					break;
				}
				if (map[i][0] == 2)
				{
					num = 1;
					break;
				}
			}
			return num;
		}
		return getPathLL(deleteRowLL(map)) + getPathLL(deleteColLL(map));
	}
	vector<vector<int> > deleteRowLL(vector<vector<int> > map)
	{
		map.erase(map.begin());
		return map;
	}
	vector<vector<int> > deleteColLL(vector<vector<int> > map)
	{
		for (int i = 0;i < map.size();i++)
		{
			map[i].erase((map[i].end()-1));
		}
		return map;
	}
	int getPathHL(vector<vector<int> > map) {
	//	if (map[map.size()-1][map[0].size() - 1] != 1)  return 0;
		if (map.size() == 1)
		{
			int num = 0;
			for (int i = map[0].size()-1;i >=0;i--)
			{
				if (map[0][i] == -1)
				{
					num = 0;
					break;
				}
				if (map[0][i] == 2)
				{
					num = 1;
					break;
				}
			}
			return num;
		}
		if (map[0].size() == 1)
		{
			int num = 0;
			for (int i = map.size()-1;i >=0;i--)
			{
				if (map[i][0] == -1)
				{
					num = 0;
					break;
				}
				if (map[i][0] == 2)
				{
					cout << "执行了" << endl;
					num = 1;
					break;
				}
			}
			return num;
		}
		return getPathHL(deleteRowHL(map)) + getPathHL(deleteColHL(map));
	}
	vector<vector<int> > deleteRowHL(vector<vector<int> > map)
	{
		map.erase(map.end()-1);
		return map;
	}
	vector<vector<int> > deleteColHL(vector<vector<int> > map)
	{
		for (int i = 0;i < map.size();i++)
		{
			map[i].erase((map[i].end() - 1));
		}
		return map;
	}
};
int main()
{
	vector<vector<int> > map;
	vector<int> vec1 = { 0,1,0 };
	vector<int> vec2 = { 2,0,0 };
	map.push_back(vec1);
	map.push_back(vec2);
	Visit v;
	cout << v.countPath(map, 2, 3) << endl;;
	return 0;
}