POJ1753

棋盘的上的每一个状态对应一个二进制串,以初始状态为跟节点建树,然后广度优先遍历这颗树,层数为所求的值。

#include<iostream>
#include<queue>
#define ALL_WHITE 0
#define ALL_BLACK 65535
using namespace std;
int states[65536];
int state,temp;
int flip(int state_current, int pos) {
	state_current ^= (1 << pos);
	if (pos - 4 >= 0) {
		state_current ^= (1 << (pos - 4));
	}
	if (pos + 4 < 16) {
		state_current ^= (1 << (pos + 4));
	}
	if (pos % 4 != 0) {
		state_current ^= (1 << (pos - 1));
	}
	if (pos % 4 != 3) {
		state_current ^= (1 << (pos + 1));
	}
	return state_current;
}
void bfs() {
	int i;
	memset(states,-1,sizeof(states));
	queue<int> q;
	states[state] = 0;
	q.push(state);
	if (state == ALL_BLACK || state == ALL_WHITE){
		cout<<"0"<<endl;
		return ;
	}
	while(!q.empty()){
		temp=q.front();
		q.pop();
		for(i=0;i<16;i++) {
			int next_state = flip(temp, i);
			if (next_state == ALL_BLACK || next_state == ALL_WHITE){
				cout<<states[temp]+1<<endl;
				return ;
			}
			if (states[next_state] == -1){
				states[next_state] = states[temp] + 1;
				q.push(next_state);
			}
		}
	}
	cout<<"Impossible"<<endl;
}
int main(){
	char c;
	int i;
	state = 0;
	for(i=0; i<16; i++){
		cin>>c;
		if(c=='b'){
			state += 1<<i;
		}
		if (c == 'w'){
			state += 0<<i;
		}
	}
	bfs();
	return 0;
}

 

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