mirror of
https://github.com/Kiritow/OJ-Problems-Source.git
synced 2024-03-22 13:11:29 +08:00
70 lines
2.1 KiB
C++
70 lines
2.1 KiB
C++
#include <cstdio>
|
|
#include <cstring>
|
|
#include <cmath>
|
|
#include <cstdlib>
|
|
#include <queue>
|
|
#include <algorithm>
|
|
using namespace std;
|
|
const int maxn = 55;
|
|
const double eps = 1e-6;
|
|
const double inf = 1e20;
|
|
const int dir[4][2] = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}};
|
|
int N, M, K, Sx, Sy, Ex, Ey;
|
|
bool done[maxn][maxn][maxn];
|
|
char G[maxn][maxn];
|
|
double dp[maxn][maxn][maxn];
|
|
struct State {
|
|
int x, y, k;
|
|
double d;
|
|
State(int x = 0, int y = 0, int k = 0, double d = 0): x(x), y(y), k(k), d(d) {}
|
|
bool operator < (const State& u) const { return d > u.d; }
|
|
};
|
|
void init () {
|
|
scanf("%d%d%d", &N, &M, &K);
|
|
for (int i = 1; i <= N; i++)
|
|
scanf("%s", G[i]+1);
|
|
scanf("%d%d%d%d", &Sx, &Sy, &Ex, &Ey);
|
|
}
|
|
bool Dijkstra () {
|
|
for (int i = 1; i <= N; i++)
|
|
for (int j = 1; j <= M; j++)
|
|
for (int k = 0; k <= K; k++) dp[i][j][k] = inf;
|
|
memset(done, false, sizeof(done));
|
|
dp[Sx][Sy][K] = 0;
|
|
priority_queue<State> Q;
|
|
Q.push(State(Sx, Sy, K, 0));
|
|
while (!Q.empty()) {
|
|
State u = Q.top();
|
|
Q.pop();
|
|
int x = u.x, y = u.y, k = u.k;
|
|
if (done[x][y][k]) continue;
|
|
done[x][y][k] = true;
|
|
for (int i = 0; i < 4; i++) {
|
|
int p = x + dir[i][0];
|
|
int q = y + dir[i][1];
|
|
int t = k - 1;
|
|
if (p <= 0 || p > N || q <= 0 || q > M || t <= 0 || G[p][q] == '#') continue;
|
|
double d = 1.0 * abs(G[x][y] - G[p][q]) / k;
|
|
if (dp[p][q][t] > dp[x][y][k] + d) {
|
|
dp[p][q][t] = dp[x][y][k] + d;
|
|
Q.push(State(p, q, t, dp[p][q][t]));
|
|
}
|
|
}
|
|
}
|
|
double ans = inf;
|
|
for (int i = 1; i <= K; i++)
|
|
ans = min(ans, dp[Ex][Ey][i]);
|
|
if (fabs(ans-inf) < eps) return false;
|
|
printf("%.2lf\n", ans);
|
|
return true;
|
|
}
|
|
int main () {
|
|
int cas;
|
|
scanf("%d", &cas);
|
|
while (cas--) {
|
|
init();
|
|
if (!Dijkstra()) printf("No Answer\n");
|
|
}
|
|
return 0;
|
|
}
|