UVA 12230 Crossing Rivers(过河)(期望)

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;
}

  

原文地址:https://www.cnblogs.com/tyty-Somnuspoppy/p/6386181.html