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C. Vanya and Exams
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
Vanya wants to pass n exams and get the academic scholarship. He will get the scholarship if the average grade mark for all the exams is at least avg. The exam grade cannot exceed r. Vanya has passed the exams and got grade ai for the i-th exam. To increase the grade for the i-th exam by 1 point, Vanya must write bi essays. He can raise the exam grade multiple times.
What is the minimum number of essays that Vanya needs to write to get scholarship?
Input
The first line contains three integers n, r, avg (1?≤?n?≤?105, 1?≤?r?≤?109, 1?≤?avg?≤?min(r,?106)) ? the number of exams, the maximum grade and the required grade point average, respectively.
Each of the following n lines contains space-separated integers ai and bi (1?≤?ai?≤?r, 1?≤?bi?≤?106).
Output
In the first line print the minimum number of essays.
Sample test(s)
input
5 5 45 24 73 13 22 5
output
input
2 5 45 25 2
output
Note
In the first sample Vanya can write 2 essays for the 3rd exam to raise his grade by 2 points and 2 essays for the 4th exam to raise his grade by 1 point.
In the second sample, Vanya doesn't need to write any essays as his general point average already is above average.
分析:贪心,优先bi最小的。然后注意下n*avg这里会爆LL就好了。
#include <iostream>#include <cstdio>#include <cstdlib>#include <cstring>#include <vector>#include <queue>#include <stack>#include <cassert>#include <algorithm>#include <cmath>#include <set>#include <limits>#include <map>using namespace std;#define MIN(a, b) ((a) < (b) ? (a) : (b))#define MAX(a, b) ((a) > (b) ? (a) : (b))#define F(i, n) for(int (i)=0;(i)<(n);++(i))#define REP(i, s, t) for(int (i)=(s);(i)<=(t);++(i))#define UREP(i, s, t) for(int (i)=(s);(i)>=(t);--(i))#define REPOK(i, s, t, o) for(int (i)=(s);(i)<=(t) && (o);++(i))#define MEM0(addr) memset((addr), 0, sizeof((addr)))#define PI 3.1415926535897932384626433832795#define HALF_PI 1.5707963267948966192313216916398#define MAXN 100000#define MAXM 10000#define MOD 1000000007typedef long long LL;const double maxdouble = numeric_limits<double>::max();const double eps = 1e-10;const int INF = 0x7FFFFFFF;typedef long long LL;LL n, r, avg;struct node{ LL a, b;};int cmp(node x,node y){ return x.b<y.b;}int main(){ cin >> n >> r >> avg; vector<node> v; LL tma, tmb, sum = 0; REP(i, 0, n-1) { cin >> tma >> tmb; sum += tma; v.push_back((node) { tma, tmb }); } sort(v.begin(), v.end(), cmp); LL rest = avg*n-sum; if (rest <= 0) { cout << 0; return 0; } LL ans = 0; for (int i=0; i<n && rest; ++i) { LL can = r - v[i].a; if(rest >= can) { ans += v[i].b * can; rest -= can; } else { ans += v[i].b * rest; rest = 0; } } cout<<ans<<endl; return 0;}