题意:从A到B需要经过n条河,已知AB间距离D和每条河的长度L以及在该条河上的船速v,求A到B平均情况下需多长时间。陆地行走速度为1,船的位置和朝向均匀随机。
分析:
1、过一条河,最短时间L/v(无需等船),最长时间3L/v(要坐船时,船正好驶离自己所在的河岸),所以平均时间为2L/v。
2、再算出陆地行走距离,D-sum[L],求出陆地行走时间。
#pragma comment(linker, "/STACK:102400000, 102400000") #include<cstdio> #include<cstring> #include<cstdlib> #include<cctype> #include<cmath> #include<iostream> #include<sstream> #include<iterator> #include<algorithm> #include<string> #include<vector> #include<set> #include<map> #include<stack> #include<deque> #include<queue> #include<list> #define Min(a, b) ((a < b) ? a : b) #define Max(a, b) ((a < b) ? b : a) const double eps = 1e-8; inline int dcmp(double a, double b) { if(fabs(a - b) < eps) return 0; return a < b ? -1 : 1; } typedef long long LL; typedef unsigned long long ULL; const int INT_INF = 0x3f3f3f3f; const int INT_M_INF = 0x7f7f7f7f; const LL LL_INF = 0x3f3f3f3f3f3f3f3f; const LL LL_M_INF = 0x7f7f7f7f7f7f7f7f; const int dr[] = {0, 0, -1, 1, -1, -1, 1, 1}; const int dc[] = {-1, 1, 0, 0, -1, 1, -1, 1}; const int MOD = 1e9 + 7; const double pi = acos(-1.0); const int MAXN = 1000 + 10; const int MAXT = 10000 + 10; using namespace std; int main(){ int n, D; int kase = 0; while(scanf("%d%d", &n, &D) == 2){ if(!n && !D) return 0; int sum = 0; double ans = 0; for(int i = 0; i < n; ++i){ int p, L, v; scanf("%d%d%d", &p, &L, &v); sum += L; ans += double(2 * L) / v; } ans += D - sum; printf("Case %d: %.3lf\n\n", ++kase, ans); } return 0; }