Title Description
Farmer John needs new cows! There are N cows for sale (1 <= N <= 50,000), and FJ has to spend no more than his budget of M units of money (1 <= M <= 10^14). Cow i costs P_i money (1 <= P_i <= 10^9), but FJ has K coupons (1 <= K <= N), and when he uses a coupon on cow i, the cow costs C_i instead (1 <= C_i <= P_i). FJ can only use one coupon per cow, of course.
What is the maximum number of cows FJ can afford?
FJ ready to buy new cows, cows on the market N (1 <= N <= 50000), the price of the i-th cows Pi (1 <= Pi <= 10 ^ 9). There FJ K coupons, use coupons to buy the i-cow prices dropped Ci (1 <= Ci <= Pi), per cow coupons can only be used once. FJ wondering spend no more than M (1 <= M <= 10 ^ 14) money can buy a maximum number of cows?
Input and output formats
Input formats:
* Line 1: Three space-separated integers: N, K, and M.
* Lines 2..N+1: Line i+1 contains two integers: P_i and C_i.
Output formats:
* Line 1: A single integer, the maximum number of cows FJ can afford.
Sample input and output
Explanation
FJ has 4 cows, 1 coupon, and a budget of 7.
FJ uses the coupon on cow 3 and buys cows 1, 2, and 3, for a total cost of 3 + 2 + 1 = 6.
analysis:
This question is more difficult, but not difficult to come algorithm based on the title of this question: greed and heap, so this problem is to achieve problem algorithm, which is the ability of a test program.
CODE:
1 #include <cstdio> 2 #include <cstring> 3 #include <cmath> 4 #include <iostream> 5 #include <algorithm> 6 #include <queue> 7 #define M 1000000 8 using namespace std; 9 int n,k,ans,to[M]; 10 long long m; 11 int read(){ 12 char c=getchar();int ans=0; 13 while (c<'0'||c>'9') c=getchar(); 14 while (c>='0'&&c<='9') ans=(ans<<1)+(ans<<3)+(c^48),c=getchar(); 15 return ans; 16 } 17 struct node{ 18 int x,y,id; 19 }a[M],b[M],c[M]; 20 bool cmp1(node u,node v){return u.y<v.y;} 21 bool cmp2(node u,node v){return u.x<v.x;} 22 bool cmp3(node u,node v){return u.x-u.y<v.x-v.y;} 23 int main(){ 24 n=read(),k=read();scanf("%lld",&m); 25 for (int i=1;i<=n;++i) a[i].x=b[i].x=c[i].x=read(),a[i].y=b[i].y=c[i].y=read(),a[i].id=b[i].id=c[i].id=i; 26 sort(a+1,a+1+n,cmp1);sort(b+1,b+1+n,cmp2);sort(c+1,c+1+n,cmp3); 27 for (int i=1;i<=k;++i){ 28 if (m<a[i].y){printf("%d",ans);return 0;} 29 m-=a[i].y;++ans;to[a[i].id]=1; 30 } 31 int now_a=k+1,now_b=1,now_c=1; 32 while (to[b[now_b].id]) ++now_b; 33 while (!to[c[now_c].id]) ++now_c; 34 while (ans<n){ 35 int tmp1=b[now_b].x,tmp2=c[now_c].x-c[now_c].y+a[now_a].y; 36 if (m<tmp1&&m<tmp2) break; 37 ++ans; 38 if (tmp1<tmp2) m-=b[now_b].x,to[b[now_b++].id]=1; 39 else m-=(c[now_c].x-c[now_c].y+a[now_a].y),now_c++,to[c[now_c++].id]=1; 40 while (now_b<=n&&to[b[now_b].id]) ++now_b; 41 while (now_c<=n&&!to[c[now_c].id]) ++now_c; 42 } 43 printf("%d",ans); 44 return 0; 45 }