http://pat.zju.edu.cn/contests/pat-practise/1037
2012-10-13 09:55
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1037. Magic Coupon (25)
时间限制
100 ms
内存限制
32000 kB
代码长度限制
16000 B
判题程序
Standard
作者
CHEN, Yue
The magic shop in Mars is offering some magic coupons. Each coupon has an integer N printed on it, meaning that when you use this coupon with a product, you may get N times the value of that product back! What is more, the shop also offers some bonus product
for free. However, if you apply a coupon with a positive N to this bonus product, you will have to pay the shop N times the value of the bonus product... but hey, magically, they have some coupons with negative N's!
For example, given a set of coupons {1 2 4 -1}, and a set of product values {7 6 -2 -3} (in Mars dollars M$) where a negative value corresponds to a bonus product. You can apply coupon 3 (with N being 4) to product 1 (with value M$7) to get M$28 back; coupon
2 to product 2 to get M$12 back; and coupon 4 to product 4 to get M$3 back. On the other hand, if you apply coupon 3 to product 4, you will have to pay M$12 to the shop.
Each coupon and each product may be selected at most once. Your task is to get as much money back as possible.
Input Specification:
Each input file contains one test case. For each case, the first line contains the number of coupons NC, followed by a line with NC coupon integers. Then the next line contains the number of products NP, followed by a line with NP product values. Here 1<= NC,
NP <= 105, and it is guaranteed that all the numbers will not exceed 230.
Output Specification:
For each test case, simply print in a line the maximum amount of money you can get back.
Sample Input:
Sample Output:
[cpp] view
plaincopy
#include<iostream>
#include<cstdio>
#include<memory.h>
#include<algorithm>
#include<cstring>
#include<queue>
#include<cmath>
#include<vector>
#include<cstdlib>
#include<cmath>
#include<iomanip>
#include<string>
using namespace std;
#define MAX 10000000000
int a1[100001],a2[100001];
int b1[100001],b2[100001];
long long c[100001];
void add(long long num){
c[0] += num;
for(int i=0;1;++i){
if(c[i]>=MAX){
c[i+1] += c[i]/MAX;
c[i] %= MAX;
}else if(c[i]==0){
break;
}
}
}
bool cmp(int a, int b){
return a>b;
}
int main(){
// freopen("in.txt", "r", stdin);
int t;
int n;
int n1,n2;
int m;
int m1, m2;
cin>>n;
n1=0,n2=0;
for(int i=0;i<n;++i){
scanf("%d", &t);
if(t>0)
a1[n1++] = t;
else if(t<0)
a2[n2++] = t;
}
cin>>m;
m1=0,m2=0;
for(int i=0;i<m;++i){
scanf("%d", &t);
if(t>0)
b1[m1++] = t;
else if(t<0)
b2[m2++] = t;
}
memset(c, 0, sizeof(c));
sort(a1, a1+n1, cmp);
sort(b1, b1+m1, cmp);
int len = n1>m1?m1:n1;
long long tmp;
for(int i=0;i<len;++i){
tmp = (long long)(a1[i]*b1[i]);
add(tmp);
}
sort(a2, a2+n2);
sort(b2, b2+m2);
len = n2>m2?m2:n2;
for(int i=0;i<len;++i){
tmp = (long long)(a2[i]*b2[i]);
add(tmp);
}
int k = 999;
bool first = true;
while(k>=0){
if(c[k]==0){
k--;
continue;
}
if(first){
printf("%lld", c[k]);
first = false;
}
else
printf("%10lld", c[k]);
k--;
}
if(first)
printf("0");
printf("\n");
//fclose(stdin);
return 0;
}
时间限制
100 ms
内存限制
32000 kB
代码长度限制
16000 B
判题程序
Standard
作者
CHEN, Yue
The magic shop in Mars is offering some magic coupons. Each coupon has an integer N printed on it, meaning that when you use this coupon with a product, you may get N times the value of that product back! What is more, the shop also offers some bonus product
for free. However, if you apply a coupon with a positive N to this bonus product, you will have to pay the shop N times the value of the bonus product... but hey, magically, they have some coupons with negative N's!
For example, given a set of coupons {1 2 4 -1}, and a set of product values {7 6 -2 -3} (in Mars dollars M$) where a negative value corresponds to a bonus product. You can apply coupon 3 (with N being 4) to product 1 (with value M$7) to get M$28 back; coupon
2 to product 2 to get M$12 back; and coupon 4 to product 4 to get M$3 back. On the other hand, if you apply coupon 3 to product 4, you will have to pay M$12 to the shop.
Each coupon and each product may be selected at most once. Your task is to get as much money back as possible.
Input Specification:
Each input file contains one test case. For each case, the first line contains the number of coupons NC, followed by a line with NC coupon integers. Then the next line contains the number of products NP, followed by a line with NP product values. Here 1<= NC,
NP <= 105, and it is guaranteed that all the numbers will not exceed 230.
Output Specification:
For each test case, simply print in a line the maximum amount of money you can get back.
Sample Input:
4 1 2 4 -1 4 7 6 -2 -3
Sample Output:
43
[cpp] view
plaincopy
#include<iostream>
#include<cstdio>
#include<memory.h>
#include<algorithm>
#include<cstring>
#include<queue>
#include<cmath>
#include<vector>
#include<cstdlib>
#include<cmath>
#include<iomanip>
#include<string>
using namespace std;
#define MAX 10000000000
int a1[100001],a2[100001];
int b1[100001],b2[100001];
long long c[100001];
void add(long long num){
c[0] += num;
for(int i=0;1;++i){
if(c[i]>=MAX){
c[i+1] += c[i]/MAX;
c[i] %= MAX;
}else if(c[i]==0){
break;
}
}
}
bool cmp(int a, int b){
return a>b;
}
int main(){
// freopen("in.txt", "r", stdin);
int t;
int n;
int n1,n2;
int m;
int m1, m2;
cin>>n;
n1=0,n2=0;
for(int i=0;i<n;++i){
scanf("%d", &t);
if(t>0)
a1[n1++] = t;
else if(t<0)
a2[n2++] = t;
}
cin>>m;
m1=0,m2=0;
for(int i=0;i<m;++i){
scanf("%d", &t);
if(t>0)
b1[m1++] = t;
else if(t<0)
b2[m2++] = t;
}
memset(c, 0, sizeof(c));
sort(a1, a1+n1, cmp);
sort(b1, b1+m1, cmp);
int len = n1>m1?m1:n1;
long long tmp;
for(int i=0;i<len;++i){
tmp = (long long)(a1[i]*b1[i]);
add(tmp);
}
sort(a2, a2+n2);
sort(b2, b2+m2);
len = n2>m2?m2:n2;
for(int i=0;i<len;++i){
tmp = (long long)(a2[i]*b2[i]);
add(tmp);
}
int k = 999;
bool first = true;
while(k>=0){
if(c[k]==0){
k--;
continue;
}
if(first){
printf("%lld", c[k]);
first = false;
}
else
printf("%10lld", c[k]);
k--;
}
if(first)
printf("0");
printf("\n");
//fclose(stdin);
return 0;
}
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