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POJ 2431 Expedition

2024-07-22 03:29:20   216人阅读

Expedition

Time Limit: 1000ms
Memory Limit: 65536KB
This problem will be judged on PKU. Original ID: 2431
64-bit integer IO format: %lld      Java class name: Main
 
A group of cows grabbed a truck and ventured on an expedition deep into the jungle. Being rather poor drivers, the cows unfortunately managed to run over a rock and puncture the truck‘s fuel tank. The truck now leaks one unit of fuel every unit of distance it travels. 

To repair the truck, the cows need to drive to the nearest town (no more than 1,000,000 units distant) down a long, winding road. On this road, between the town and the current location of the truck, there are N (1 <= N <= 10,000) fuel stops where the cows can stop to acquire additional fuel (1..100 units at each stop). 

The jungle is a dangerous place for humans and is especially dangerous for cows. Therefore, the cows want to make the minimum possible number of stops for fuel on the way to the town. Fortunately, the capacity of the fuel tank on their truck is so large that there is effectively no limit to the amount of fuel it can hold. The truck is currently L units away from the town and has P units of fuel (1 <= P <= 1,000,000). 

Determine the minimum number of stops needed to reach the town, or if the cows cannot reach the town at all. 
 

Input

* Line 1: A single integer, N 

* Lines 2..N+1: Each line contains two space-separated integers describing a fuel stop: The first integer is the distance from the town to the stop; the second is the amount of fuel available at that stop. 

* Line N+2: Two space-separated integers, L and P
 

Output

* Line 1: A single integer giving the minimum number of fuel stops necessary to reach the town. If it is not possible to reach the town, output -1.
 

Sample Input

44 45 211 515 1025 10

Sample Output

2

Hint

INPUT DETAILS: 

The truck is 25 units away from the town; the truck has 10 units of fuel. Along the road, there are 4 fuel stops at distances 4, 5, 11, and 15 from the town (so these are initially at distances 21, 20, 14, and 10 from the truck). These fuel stops can supply up to 4, 2, 5, and 10 units of fuel, respectively. 

OUTPUT DETAILS: 

Drive 10 units, stop to acquire 10 more units of fuel, drive 4 more units, stop to acquire 5 more units of fuel, then drive to the town.
 

Source

USACO 2005 U S Open Gold
 
解题：贪心。题目给出的每个加油站到终点的距离，可以转换为每个加油站到起点的距离。
 
然后贪心。每次没有，就从前面经过的没有加过油的站进行加油，肯定优先选择油量最多的站点进行加油了。因为无论你加多少，反正加了就计算加油次数。还不如加最多。优先队列正好派上用场。每次去下一个站，看油够不，不够，取优先队列中的最大值进行加油。如果此时队中为空。那就没救了。。。。。。。
 
 1 #include <iostream> 2 #include <cstdio> 3 #include <cstring> 4 #include <cmath> 5 #include <algorithm> 6 #include <climits> 7 #include <vector> 8 #include <queue> 9 #include <cstdlib>10 #include <string>11 #include <set>12 #include <stack>13 #define LL long long14 #define pii pair<int,int>15 #define INF 0x3f3f3f3f16 using namespace std;17 struct node{18     int x,y;19     node(int a = 0,int b = 0){20         x = a;21         y = b;22     }23 };24 node p[10010];25 bool cmp(const node &a,const node &b){26     return a.x < b.x;27 }28 priority_queue<int,vector<int>,less<int> >q;29 int main() {30     int n,L,pnow,pos = 0,ans = 0;31     scanf("%d",&n);32     for(int i = 0; i < n; i++)33         scanf("%d %d",&p[i].x,&p[i].y);34 35     scanf("%d %d",&L,&pnow);36     for(int i = 0; i < n; i++)37         p[i].x = L-p[i].x;38     p[n].x = L;39     p[n++].y = 0;40     sort(p,p+n,cmp);41     for(int i = 0; i < n; i++){42         int d = p[i].x - pos;43         while( pnow - d < 0){44             if(q.empty()) {45                 puts("-1");46                 return 0;47             }48             pnow += q.top();49             q.pop();50             ans++;51         }52         pnow -= d;53         pos = p[i].x;54         q.push(p[i].y);55     }56     printf("%d\n",ans);57     return 0;58 }
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POJ 2431 Expedition


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