有一个8 * 8的棋盘和两个棋手,每个棋手都有一个棋子。玩家必须在每一回合中移动其棋子,仅当此举杀死另一只棋子时,才可以向前移动或对角移动一步。无法采取任何行动的玩家输了。
给定白色和黑色典当的行数和列数。任务是在假设双方都发挥出最佳状态的情况下预测谁会获胜。请注意,白棋先行,棋子不能移到棋盘外。
例子:
Input: rowW = 2, colW = 2, rowB = 3, colB = 3
Output: White
Input: rowW = 2, colW = 2, rowB = 3, colB = 3
Output: White
方法:
- 如果是白色棋子,我们必须检查白色棋子是否在第八行,那么黑色棋将获胜,因为白色棋子没有进一步的移动。如果轮到它的黑色棋子了,那么我们必须检查它是否在第一行,然后白棋获胜,因为黑色棋子没有进一步的移动。
- 如果轮到白色棋子,而黑色棋子对角线相邻,那么白色棋子将杀死黑色棋子,白色棋子获胜,否则白色棋子将向前移动一步(如果尚未被黑色棋子占据),否则白色棋子将输。
- 如果轮到黑棋,而白棋对角线相邻,那么黑棋将杀死白棋,黑棋获胜,否则黑棋将向前移动一步(如果尚未被白棋占据),否则黑棋将输。
下面是上述方法的实现:
C++
// C++ implementation of the approach
#include
using namespace std;
// Function that returns true if white wins
bool whiteWins(int rowW, int colW, int rowB, int colB)
{
int white = 0, black = 0;
while (1) {
// If white can move
if (rowW != 8) {
// If white pawn can kill black pawn
// White wins
if (rowB == rowW + 1
&& (colB == colW - 1 || colB == colW + 1))
return true;
// Make the move forward
else
rowW++;
}
// White has no moves
// White loses
else
return false;
// If black can move
if (rowB != 1) {
// If black pawn can kill white pawn
// White loses
if (rowB == rowW + 1
&& (colB == colW - 1 || colB == colW + 1))
return false;
// Make the move forward
else
rowB--;
}
// Black has no moves
// White wins
else
return true;
}
// If white has got more moves
if (white > black)
return true;
return false;
}
// Driver code
int main()
{
int rowW = 2, colW = 2, rowB = 3, colB = 3;
if (whiteWins(rowW, colW, rowB, colB))
cout << "White";
else
cout << "Black";
return 0;
}
Java
// Java implementation of the approach
class GFG
{
// Function that returns true if white wins
static boolean whiteWins(int rowW, int colW,
int rowB, int colB)
{
int white = 0, black = 0;
boolean flag=true;
while (flag)
{
// If white can move
if (rowW != 8)
{
// If white pawn can kill black pawn
// White wins
if (rowB == rowW + 1
&& (colB == colW - 1 || colB == colW + 1))
return true;
// Make the move forward
else
rowW++;
}
// White has no moves
// White loses
else
return false;
// If black can move
if (rowB != 1)
{
// If black pawn can kill white pawn
// White loses
if (rowB == rowW + 1
&& (colB == colW - 1 || colB == colW + 1))
return false;
// Make the move forward
else
rowB--;
}
// Black has no moves
// White wins
else
return true;
}
// If white has got more moves
if (white > black)
return true;
return false;
}
// Driver code
public static void main(String args[])
{
int rowW = 2, colW = 2, rowB = 3, colB = 3;
if (whiteWins(rowW, colW, rowB, colB))
System.out.println("White");
else
System.out.println("Black");
}
}
// This code is contributed by Arnab Kundu
Python3
# Print implementation of the approach
# Function that returns true if white wins
def whiteWins(rowW, colW, rowB, colB):
white = 0;
black = 0;
while (1):
# If white can move
if (rowW != 8):
# If white pawn can kill black pawn
# White wins
if (rowB == rowW + 1 and
(colB == colW - 1 or
colB == colW + 1)):
return True;
# Make the move forward
else:
rowW += 1;
# White has no moves
# White loses
else:
return False;
# If black can move
if (rowB != 1):
# If black pawn can kill white pawn
# White loses
if (rowB == rowW + 1 and
(colB == colW - 1 or
colB == colW + 1)):
return False;
# Make the move forward
else:
rowB -= 1;
# Black has no moves
# White wins
else:
return Frue;
# If white has got more moves
if (white > black):
return True;
return False;
# Driver code
if __name__ == '__main__':
rowW, colW = 2, 2;
rowB, colB = 3, 3;
if (whiteWins(rowW, colW, rowB, colB)):
print("White");
else:
print("Black");
# This code is contributed by Rajput-Ji
C#
// C# implementation of the approach
using System;
public class GFG
{
// Function that returns true if white wins
static bool whiteWins(int rowW, int colW,
int rowB, int colB)
{
int white = 0, black = 0;
bool flag=true;
while (flag)
{
// If white can move
if (rowW != 8)
{
// If white pawn can kill black pawn
// White wins
if (rowB == rowW + 1
&& (colB == colW - 1 || colB == colW + 1))
return true;
// Make the move forward
else
rowW++;
}
// White has no moves
// White loses
else
return false;
// If black can move
if (rowB != 1)
{
// If black pawn can kill white pawn
// White loses
if (rowB == rowW + 1
&& (colB == colW - 1 || colB == colW + 1))
return false;
// Make the move forward
else
rowB--;
}
// Black has no moves
// White wins
else
return true;
}
// If white has got more moves
if (white > black)
return true;
return false;
}
// Driver code
public static void Main(String []args)
{
int rowW = 2, colW = 2, rowB = 3, colB = 3;
if (whiteWins(rowW, colW, rowB, colB))
Console.WriteLine("White");
else
Console.WriteLine("Black");
}
}
/* This code contributed by PrinciRaj1992 */
输出:
White
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