Islands
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这是道水题,每一个联通块是一个小岛,求问小岛边长与面积比的最大值和最小值。
直接在图上dfs就好了,记录每个小岛面积以及周长(即dfs下一步会到达水域位置)。
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#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <string>
const int maxn = 500;
char map[maxn][maxn];
struct Node {
int area, l;
}f[maxn*maxn];
int a[maxn][maxn];
bool flag[maxn][maxn];
int n, t;
const int dir[4][2] = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}};
void island_dfs(int x, int y, int num) {
int x1, y1;
a[x][y] = num;
flag[x][y] = true;
f[num].area++;
for (int k = 0; k < 4; k++) {
x1 = x+dir[k][0];
y1 = y+dir[k][1];
if (x1 < 0 || x1 > n+1 || y1 < 0 || y1 > n+1) continue;
if (map[x1][y1] == '.') {
f[num].l++;
continue;
}
if (flag[x1][y1] || map[x1][y1] != 'X') continue;
island_dfs(x1, y1, num);
}
}
int main() {
char c;
while (scanf("%d", &n) != EOF) {
if (n == 0) break;
memset(f, 0, sizeof(f));
for (int i = 1; i <= n; i++) {
scanf("%c", &c);
for (int j = 1; j <= n; j++)
scanf("%c", &map[i][j]);
}
for (int i = 0; i <= n+1; i++) {
map[i][0] = '.';
map[0][i] = '.';
map[n+1][i] = '.';
map[i][n+1] = '.';
}
memset(a, 0, sizeof(a));
memset(flag, 0, sizeof(flag));
t = 0;
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++) if (!flag[i][j] && map[i][j] == 'X') {
t++;
island_dfs(i, j, t);
}
double maxx = 0, minn = 1000000;
for (int i = 1; i <= t; i++) {
double t1 = f[i].area;
double t2 = f[i].l;
if (t2/t1 > maxx) maxx = t2/t1;
if (t2/t1 < minn) minn = t2/t1;
}
printf("%.6lf %.6lf\n", maxx, minn);
}
}