Five-In-a-Row
Problem Description
Alice and Bob play 5-in-a-row game. They have a playing field of size 10 × 10. In turns they put either crosses or noughts, one at a time. Alice puts crosses and Bob puts noughts.
In current match they have made some turns and now it’s Alice’s turn. She wonders if she can put cross in such empty cell that she wins immediately.
Alice wins if some crosses in the field form line of length not smaller than 5. This line can be horizontal, vertical and diagonal.
Input
You are given matrix 10 × 10 (10 lines of 10 characters each) with capital Latin letters ‘X’ being a cross, letters ‘O’ being a nought and ‘.’ being an empty cell. The number of ‘X’ cells is equal to the number of ‘O’ cells and there is at least one of each type. There is at least one empty cell.
It is guaranteed that in the current arrangement nobody has still won.
Output
Print ‘YES’ if it’s possible for Alice to win in one turn by putting cross in some empty cell. Otherwise print ‘NO’.
Example
题意:
下五子棋,X代表Alice 的棋子,给出棋盘目前的情况.代表空白,O代表对面的棋子,现在轮到Alice下了,问她能否在这回合取胜
解题思路:
对每个.和X都来遍历,一共4个方向:左,左上,上,右上,只要有任意方向出现四个X+一个.就说明可以
Code:
#include <iostream>
#include <algorithm>
#include <cstdio>
#include <cstring>
#define mem(a,b) memset(a,b,sizeof(a))
using namespace std;
char mp[15][15];
bool check(int i,int j)
{
if(i<0||i>=10||j<0||j>=10)
return false;
return true;
}
bool judge1(int i,int j)//左
{
int x=0,d=0;
for(int p=0;p<5;p++)
{
if(!check(i,j-p))
return false;
if(mp[i][j-p]=='X')
x++;
else if(mp[i][j-p]=='.')
d++;
}
if(x==4&&d==1)
return true;
return false;
}
bool judge2(int i,int j)//左上
{
int x=0,d=0;
for(int p=0;p<5;p++)
{
if(!check(i-p,j-p))
return false;
if(mp[i-p][j-p]=='X')
x++;
else if(mp[i-p][j-p]=='.')
d++;
}
if(x==4&&d==1)
return true;
return false;
}
bool judge3(int i,int j)//上
{
int x=0,d=0;
for(int p=0;p<5;p++)
{
if(!check(i-p,j))
return false;
if(mp[i-p][j]=='X')
x++;
else if(mp[i-p][j]=='.')
d++;
}
if(x==4&&d==1)
return true;
return false;
}
bool judge4(int i,int j)//右上
{
int x=0,d=0;
for(int p=0;p<5;p++)
{
if(!check(i-p,j+p))
return false;
if(mp[i-p][j+p]=='X')
x++;
else if(mp[i-p][j+p]=='.')
d++;
}
if(x==4&&d==1)
return true;
return false;
}
int main()
{
for(int i=0;i<10;i++)
scanf("%s",mp[i]);
for(int i=0;i<10;i++)
{
for(int j=0;j<10;j++)
{
if(mp[i][j]=='X'||mp[i][j]=='.')
{
if(judge1(i,j)||judge2(i,j)||judge3(i,j)||judge4(i,j))
{
printf("YES\n");
return 0;
}
}
}
}
printf("NO\n");
return 0;
}