1015

题目编号:1015

题目简意:

The cows have purchased a yogurt factory that makes world-famous Yucky Yogurt. Over the next N (1 <= N <= 10,000) weeks, the price of milk and labor will fluctuate weekly such that it will cost the company C_i (1 <= C_i <= 5,000) cents to produce one unit of yogurt in week i. Yucky's factory, being well-designed, can produce arbitrarily many units of yogurt each week. 


Yucky Yogurt owns a warehouse that can store unused yogurt at a constant fee of S (1 <= S <= 100) cents per unit of yogurt per week. Fortuitously, yogurt does not spoil. Yucky Yogurt's warehouse is enormous, so it can hold arbitrarily many units of yogurt. 

Yucky wants to find a way to make weekly deliveries of Y_i (0 <= Y_i <= 10,000) units of yogurt to its clientele (Y_i is the delivery quantity in week i). Help Yucky minimize its costs over the entire N-week period. Yogurt produced in week i, as well as any yogurt already in storage, can be used to meet Yucky's demand for that week.

Input
* Line 1: Two space-separated integers, N and S.

* Lines 2..N+1: Line i+1 contains two space-separated integers: C_i and Y_i.
 

Output
* Line 1: Line 1 contains a single integer: the minimum total cost to satisfy the yogurt schedule. Note that the total might be too large for a 32-bit integer.
 

Sample Input
 
   
4 5 88 200 89 400 97 300 91 500
 

Sample Output
 
   
126900


AC代码:

#include 

#include 

 

using namespace std;

const int maxn = 10000 + 5;

 

int main()

{

    __int64 sum = 0;

    int n, s, c[maxn], y[maxn];

    cin >> n >> s;

    c[0] = maxn;

    for (int i = 1; i <= n; i++) {

        cin >> c[i] >> y[i];

        c[i] = min (c[i], c[i - 1] + s);

        sum += c[i] * y[i];

    }

    cout << sum << endl;

    return 0;

}


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