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2016 World Final D Clock Breaking

題意:

給一個LCD燈在一個連續時間內的燈的情況,要你確定哪些燈一定亮,一定暗和不確定。

思路:

先預處理出每個燈泡在24*60分鐘內的狀態,然後用給的時間內不是全亮也不是全暗的燈取匹配,如果沒有一個時間點能夠匹配,就是invalid。然後在考慮全亮或者全暗的燈,如果有一個匹配位置上那個燈是全亮/暗的,那麼那個燈就是不確定的,否則就是壞的。

#include <bits/stdc++.h>

using namespace std;

#define LL long long
#define pii pair<int, int>
#define MP make_pair
#define inf 0x3f3f3f3f
#define mod 1000000007
#define eps 1e-12
#define Pi acos(-1.0)
#define N 5050
#define M 200020
#define PB push_back
#define MP make_pair
#define fi first
#define se second

int num[11][7] = {
	1, 1, 1, 1, 1, 1, 0,
	0, 1, 1, 0, 0, 0, 0,
	1, 1, 0, 1, 1, 0, 1,
	1, 1, 1, 1, 0, 0, 1,
	0, 1, 1, 0, 0, 1, 1,
	1, 0, 1, 1, 0, 1, 1,
	1, 0, 1, 1, 1, 1, 1,
	1, 1, 1, 0, 0, 0, 0,
	1, 1, 1, 1, 1, 1, 1,
	1, 1, 1, 1, 0, 1, 1,
	0, 0, 0, 0, 0, 0, 0,
};
int dx[] = {0, 1, 4, 6, 4, 1, 3};
int dy[] = {1, 3, 3, 1, 0, 0, 1};
int dx2[] = {0, 2, 5, 6, 5, 2, 3};
int dy2[] = {2, 3, 3, 2, 0, 0, 2};

int f[1440 + 150][4][7];
int g[120][4][7];
char s[120][10][30];
int n;
int cnt;
int val[N], all[4][7];
char ans[10][30];

void calc(int a[7], int x) {
	for(int i = 0; i < 7; ++i) a[i] = num[x][i];
}

void calc2(int a[7], int i, int x, int y) {
	for(int k = 0; k < 7; ++k) {
		a[k] = s[i][x + dx[k]][y + dy[k]] == 'X';
	}
}



void init() {
	for(int i = 0; i < 24 * 60 + 150; ++i) {
		int h = i / 60 % 24;
		int m = i % 60;
		calc(f[i][0], h / 10 == 0? 10: h / 10);
		calc(f[i][1], h % 10);
		calc(f[i][2], m / 10);
		calc(f[i][3], m % 10);
	}
}
bool checkm() {
	for(int i = 1; i < n; ++i) {
		if(s[i][2][10] != s[0][2][10]) {
			return 0;
		}
		if(s[i][4][10] != s[0][4][10]) {
			return 0;
		}
	}
	if(s[0][2][10] == 'X') ans[2][10] = '?';
	else ans[2][10] = '0';
	if(s[0][4][10] == 'X') ans[4][10] = '?';
	else ans[4][10] = '0';
	return 1;
}

int main() {
	init();
	scanf("%d", &n);
	for(int i = 0; i < n; ++i) {
		for(int j = 0; j < 7; ++j) {
			scanf("%s", s[i][j]);
		}
		calc2(g[i][0], i, 0, 0);
		calc2(g[i][1], i, 0, 5);
		calc2(g[i][2], i, 0, 12);
		calc2(g[i][3], i, 0, 17);
	}
	for(int i = 0; i < 4; ++i) {
		for(int j = 0; j < 7; ++j) {
			int t = g[0][i][j], f = 1;
			for(int k = 1; k < n; ++k) {
				if(g[k][i][j] != t) {
					f = 0;
					break;
				}
			}
			if(!f) ++cnt;
			else all[i][j] = 1;
		}
	}
	int x = 0, y[4][7], z[4][7];
	memset(y, 0, sizeof y);
	memset(z, 0, sizeof z);
	for(int i = 0; i < 1440; ++i) {
		for(int j = 0; j < 4; ++j) {
			for(int k = 0; k < 7; ++k) {
				if(all[j][k]) continue;
				bool ok = 1;
				for(int u = 0; u < n; ++u) {
					if(f[i + u][j][k] != g[u][j][k]) {
						ok = 0;
						break;
					}
				}
				if(ok) {
					val[i]++;
				}
			}
		}
		if(val[i] == cnt) {
			x++;
			for(int j = 0; j < 4; ++j) {
				for(int k = 0; k < 7; ++k) {
					if(!all[j][k]) continue;
					bool ok = 1;
					for(int u = 0; u < n; ++u) {
						if(f[i + u][j][k] != g[u][j][k]) {
							ok = 0;
							break;
						}
					}
					if(ok) {
						if(g[0][j][k] == 1) y[j][k]++;
						else z[j][k]++;
					}
				}
			}
		}

			 
	}
	for(int i = 0; i < 7; ++i) {
		for(int j = 0; j < 21; ++j) {
			ans[i][j] = '.';
		}
		ans[i][21] = '\0';
	}
	if(x == 0 || !checkm()) {
	 	puts("Impossible");
		return 0;
	}
	for(int i = 0; i < 4; ++i) {
		for(int j = 0; j < 7; ++j) {
			int xx = 0, yy = 0;
			if(i == 1) yy = 5;
			if(i == 2) yy = 12;
			if(i == 3) yy = 17;
			char c;
			if(!all[i][j]) {
				c = 'W';
			}
			else if(g[0][i][j] == 1) {
				if(y[i][j] > 0) c = '?';
				else c = '1';
			}
			else {
				if(z[i][j] > 0) c = '?';
				else c = '0';
			}
			ans[xx + dx[j]][yy + dy[j]] = ans[xx + dx2[j]][yy + dy2[j]] = c;
		}
	}

	for(int i = 0; i < 7; ++i) puts(ans[i]);
	return 0;
}