题目链接:C - Cheese (atcoder.jp)
Problem StatementTakahashi, who works for a pizza restaurant, is making a delicious cheese pizza for staff meals.
There are N kinds of cheese in front of him.
The deliciousness of the i-th kind of cheese is Ai per gram, and Bi grams of this cheese are available.
The deliciousness of the pizza will be the total deliciousness of cheese he puts on top of the pizza.
However, using too much cheese would make his boss angry, so the pizza can have at most W grams of cheese on top of it.
Under this condition, find the maximum possible deliciousness of the pizza.
- All values in input are integers.
- 1≤N≤3×105
- 1≤W≤3×108
- 1≤Ai≤109
- 1≤Bi≤1000
Input
Input is given from Standard Input in the following format:
N W A1 B1 A2 B2 ... AN BNOutput
Print the answer as an integer.
Sample Input 1
3 5 3 1 4 2 2 3Sample Output 1
15
The optimal choice is to use 1 gram of cheese of the first kind, 2 grams of the second kind, and 2 grams of the third kind.
The pizza will have a deliciousness of 15.
Sample Input 2
4 100 6 2 1 5 3 9 8 7Sample Output 2
100
There may be less than W grams of cheese in total.
Sample Input 3 Copy
Copy
10 3141 314944731 649 140276783 228 578012421 809 878510647 519 925326537 943 337666726 611 879137070 306 87808915 39 756059990 244 228622672 291Sample Output 3
2357689932073
题意:有n种奶酪,总质量不能超过w,
第i种美味值ai每g,有big
问总美味值最大是多少
思路:排序一下,美味值从大到小排序,然后遍历一遍,进行计算
#includeusing namespace std; struct node{ long long a; long long b; }arr[300005]; bool cmp(node a, node b){ return a.a > b.a; } int main(){ int n; long long w; cin >> n >> w; for(int i = 0; i < n; i++){ cin >> arr[i].a >> arr[i].b; } sort(arr, arr + n, cmp); long long sum = 0; for(int i = 0; i < n; i++){ sum += (arr[i].a * min(w, arr[i].b)); w -= min(w, arr[i].b); if(w == 0){ break; } } cout << sum << endl; return 0; }
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