[蓝桥杯2018初赛]字母阵列-单向dfs
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[蓝桥杯2018初赛]字母阵列-单向dfs
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題目描述
仔細尋找,會發現:在下面的8x8的方陣中,隱藏著字母序列:“LANQIAO”。
我們約定: 序列可以水平,垂直,或者是斜向;
并且走向不限(實際上就是有一共8種方向)。
上圖中一共有4個滿足要求的串。
下面有一個更大的(100x100)的字母方陣。
你能算出其中隱藏了多少個“LANQIAO”嗎?
輸入
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輸出一個整數表示答案
解題思路:
顯然是dfs
要注意的是這題dfs的方向是不能改變的,因為序列的方向固定,
意思是如果一開始是向右走的,那么之后也都要向右走,dfs的過程記錄一下方向就行了。
枚舉每個點作為起點dfs即可。
代碼如下:
#include <iostream> #include <cstring> using namespace std; string str = "LANQIAO"; const int N = 110; char g[N][N]; int cnt;int dx[] = {0, 0, 1, -1, 1, 1, -1, -1}, dy[] = {1, -1, 0, 0, 1, -1, 1, -1};void dfs(int x, int y, int head, int dir) {if (g[x][y] != str[head])return ;if (head == str.length() - 1) {cnt++;return ;}int xx = x + dx[dir], yy = y + dy[dir];if (xx < 0 || xx >= 100 || yy < 0 || yy >= 100)return ;dfs(xx, yy, head + 1, dir);}int main() {for (int i = 0; i < 100; i++)for (int j = 0; j < 100; j++)cin >> g[i][j];for (int i = 0; i < 100; i++)for (int j = 0; j < 100; j++)for (int k = 0; k < 8; k++) {if (g[i][j] == 'L')dfs(i, j, 0, k);}cout << cnt << endl;//cout<<41<<endl;return 0; }答案為:41
總結
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