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dp hdu5433 Xiao Ming climbing

热度:18   发布时间:2023-12-14 03:48:24.0

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题意:告诉你图,然后告诉你初始斗气,你当前的位置,终点位置,每走一步所需要的体力等于两个位置的权值之差除以当前斗气k,然后斗气减一

思路:因为数据很小,所以最简单的方法当然是动态规划去做

设d[i][j][k]表示当前在(i,j)且斗气为k时消耗的最小体力,然后向4个方向转移就行了

#include<map>
#include<set>
#include<cmath>
#include<stack>
#include<queue>
#include<cstdio>
#include<cctype>
#include<string>
#include<vector>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<functional>
#define fuck printf("fuck")
#define FIN freopen("input.txt","r",stdin)
#define FOUT freopen("output.txt","w+",stdout)
using namespace std;
typedef long long LL;const int MX = 50 + 5;
const int INF = 0x3f3f3f3f;int dist[][2] = {
   {1, 0}, { -1, 0}, {0, 1}, {0, -1}};
int Sx, Sy, Ex, Ey;
double d[MX][MX][MX];
char S[MX][MX];int main() {int T, m, n, w; //FIN;scanf("%d", &T);while(T--) {scanf("%d%d%d", &m, &n, &w);for(int i = 1; i <= m; i++) {scanf("%s", S[i] + 1);}scanf("%d%d%d%d", &Sx, &Sy, &Ex, &Ey);for(int i = 1; i <= m; i++) {for(int j = 1; j <= n; j++) {for(int k = 0; k <= w; k++) {d[i][j][k] = INF;}}}d[Sx][Sy][w] = 0;for(int k = w; k >= 2; k--) {for(int i = 1; i <= m; i++) {for(int j = 1; j <= n; j++) {if(d[i][j][k] == INF) continue;for(int t = 0; t < 4; t++) {int nx = i + dist[t][0];int ny = j + dist[t][1];if(nx < 1 || nx > m || ny < 1 || ny > n || S[nx][ny] == '#') continue;double value = abs(S[i][j] - S[nx][ny]) * 1.0 / k;d[nx][ny][k - 1] = min(d[nx][ny][k - 1], d[i][j][k] + value);}}}}double ans = INF;for(int k = 1; k <= w; k++) {ans = min(ans, d[Ex][Ey][k]);}if(ans == INF) printf("No Answer\n");else printf("%.2lf\n", ans);}return 0;
}