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Flip Game

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 47766		Accepted: 20383

Description

Flip game is played on a rectangular 4x4 field with two-sided pieces placed on each of its 16 squares. One side of each piece is white and the other one is black and each piece is lying either it‘s black or white side up. Each round you flip 3 to 5 pieces, thus changing the color of their upper side from black to white and vice versa. The pieces to be flipped are chosen every round according to the following rules:

1. Choose any one of the 16 pieces.
2. Flip the chosen piece and also all adjacent pieces to the left, to the right, to the top, and to the bottom of the chosen piece (if there are any).

Consider the following position as an example:

bwbw
wwww
bbwb
bwwb
Here "b" denotes pieces lying their black side up and "w" denotes pieces lying their white side up. If we choose to flip the 1st piece from the 3rd row (this choice is shown at the picture), then the field will become:

bwbw
bwww
wwwb
wwwb
The goal of the game is to flip either all pieces white side up or all pieces black side up. You are to write a program that will search for the minimum number of rounds needed to achieve this goal.

Input

The input consists of 4 lines with 4 characters "w" or "b" each that denote game field position.

Output

Write to the output file a single integer number - the minimum number of rounds needed to achieve the goal of the game from the given position. If the goal is initially achieved, then write 0. If it‘s impossible to achieve the goal, then write the word "Impossible" (without quotes).

Sample Input

bwwb
bbwb
bwwb
bwww

Sample Output

4

題意：把一個4*4的棋盤翻轉為顏色統一，翻轉規則是翻轉一個棋子時，這個棋子上下左右也要進行翻轉。

思路：枚舉。遞歸真是橫貫搜索啊 ~~用好了真心感覺神奇，今天又重新寫了一下之前寫的這道題，發現又有了新的大陸。

#include<stdio.h>
#include<string.h>
#define inf 0x3f3f3f3f
int flag,min,map[4][4];
int CheckMap(int map[][4])
{
    for(int i = 0; i < 4; i ++)
        for(int j = 0; j < 4; j ++)
            if(map[i][j] != map[0][0])
            return 0;
    return 1;
}
void Reverse(int ans)
{
    int k[4][2] = {0,1,0,-1,-1,0,1,0};
    int x = ans/4;
    int y = ans%4;
    map[x][y] ^= 1;
    for(int i = 0; i< 4; i ++)
    {
        x = ans/4 + k[i][0];
        y = ans%4 + k[i][1];
        if(x < 0||y < 0||x > 3||y > 3)
            continue;
        map[x][y] ^= 1;
    }
    return;
}
void dfs(int ans,int step)
{
    if(CheckMap(map))
    {
        flag = 1;
        if(step < min)
            min = step;
        return;
    }
    if(ans == 16)
        return;
    dfs(ans+1,step);//不翻轉當前棋子 
    Reverse(ans);//翻轉當前棋子 
    dfs(ans+1,step+1);//翻轉當前棋子步數+1，往下搜索 
    Reverse(ans);    //復原 
}
int main()
{
    
    char str[4][4];
    flag = 0;
    min = inf;
    for(int i = 0; i < 4; i ++)
    {
        for(int j = 0; j < 4; j ++)
        {
            scanf("%c",&str[i][j]);
            if(str[i][j] == ‘b‘)
                map[i][j] = 1;
            else 
                map[i][j] = 0;
        }
        getchar();
    }
    dfs(0,0);
    if(!flag)
        printf("Impossible\n");
    else
        printf("%d\n",min);
    return 0;
}

poj1753Flip Game【刷題計劃】