ZOJ 3699 Dakar Rally(贪心)
题意 路上有 n 个加油站 每一个加油站的价格可能不同 你的油箱容积为 v 问从起点开车到终点加油至少用多少钱
贪心 每次都让油箱里面廉价的油最多即可了 在每一个网站 i 有两种情况
1. i 点把油加满跑完都没有更廉价的 那么在 i 点肯定要加满 然后开到 i+1 点去
2. i 点把油加满能跑到第一个比 i 点更廉价的 j 点或者到了终点 j 那么仅仅用把油加到能到 j 点 然后直接开到 j 点
然后把每一个点加油用的钱加起来即可了
#include <cstdio> using namespace std; const int N = 100005; typedef long long ll; ll len[N], cost[N], pri[N], v; int main() { int T, n; scanf("%d", &T); while(T--) { scanf("%d%lld", &n, &v); int flag = 0; for(int i = 0; i < n; i++) { scanf("%lld%lld%lld", &len[i], &cost[i], &pri[i]); if(len[i] * cost[i] > v) flag = 1; } if(flag) { puts("Impossible"); continue; } int i = 0, j; ll r = 0, ans = 0, t; //r记录到i点还剩多少油 while(i < n) { j = i + 1, t = len[i] * cost[i]; //t记录到下一个廉价的点用了多少油 //往前走直到找到一个更廉价的站j 或者油箱跑完 while( j < n && pri[j] >= pri[i] && v - t >= cost[j] * len[j]) { t += len[j] * cost[j]; ++j; } if( j >= n || pri[j] < pri[i]) //j点油第一个比i点廉价 加到能到j { if(r > t) r -= t; else { ans += (t - r) * pri[i]; r = 0; } i = j; } else //油跑完都没更廉价的 加满 到下一站 { ans += (v - r) * pri[i]; r = v - len[i] * cost[i]; i++; } } printf("%lld\n", ans); } return 0; }
Description
The Dakar Rally is an annual Dakar Series rally raid type of off-road race, organized by the Amaury Sport Organization. The off-road endurance race consists of a series of routes. In different routes, the competitors cross dunes, mud, camel grass, rocks, erg and so on.
Because of the various circumstances, the mileages consume of the car and the prices of gas vary from each other. Please help the competitors to minimize their payment on gas.
Assume that the car begins with an empty tank and each gas station has infinite gas. The racers need to finish all the routes in order as the test case descripts.
Input
There are multiple test cases. The first line of input contains an integer T (T ≤ 50) indicating the number of test cases. Then T test cases follow.
The first line of each case contains two integers: n -- amount of routes in the race; capacity -- the capacity of the tank.
The following n lines contain three integers each: mileagei -- the mileage of the ith route; consumei -- the mileage consume of the car in the ith route , which means the number of gas unit the car consumes in 1 mile; pricei -- the price of unit gas in the gas station which locates at the beginning of the ith route.
All integers are positive and no more than 105.
Output
For each test case, print the minimal cost to finish all of the n routes. If it's impossible, print "Impossible" (without the quotes).
Sample Input
2 2 30 5 6 9 4 7 10 2 30 5 6 9 4 8 10
Sample Output
550 Impossible