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TOJ-1335 Y2K Accounting Bug
All what they remember is that MS Inc. posted a surplus or a deficit each month of 1999 and each month when MS Inc. posted surplus, the amount of surplus was s and each month when MS Inc. posted deficit, the deficit was d. They do not remember which or how many months posted surplus or deficit. MS Inc., unlike other companies, posts their earnings for each consecutive 5 months during a year. ACM knows that each of these 8 postings reported a deficit but they do not know how much. The chief accountant is almost sure that MS Inc. was about to post surplus for the entire year of 1999. Almost but not quite.
Write a program, which decides whether MS Inc. suffered a deficit during 1999, or if a surplus for 1999 was possible, what is the maximum amount of surplus that they can post.
Input is a sequence of lines, each containing two positive integers s and d. For each line of input, output one line containing either a single integer giving the amount of surplus for the entire year, or output Deficit if it is impossible.
Sample Input
59 237 375 743 200000 849694 2500000 8000000
Output for Sample Input
116 28 300612 Deficit
Source: Waterloo
Local Contest Jan. 29, 2000
开始没读懂题一头雾水,后来知道题意了一脸蒙比。
已知某公司一年的每连续五个月的盈利状况均为亏损。又已知每个月的盈利值或亏损值,求全年可能的最大盈利。
求解方法即保证连续五个月的盈利状况为亏损情况下使亏损月数最少,求最后的盈利值。
每五个月中,亏损约束可为1~5,依次最高盈利状况序列如下:
每五个月亏损月数 最高盈利状况序列 满足条件 总盈利
1 ssssd ssssd ss d>4s 10s-2d
2 sssdd sssdd ss 2d>3s 8s-4d
3 ssddd ssddd ss 3d>2s 6s-6d
4 sdddd sdddd sd 4d>s 3-9d
5 ddddd ddddd dd 4d>s -12d
#include <iostream> using namespace std; int main(){ int s,d,a; while(cin>>s>>d){ if(d>4*s)a=10*s-2*d; else if(2*d>3*s)a=8*s-4*d; else if(3*d>2*s)a=6*s-6*d; else if(4*d>s)a=3*s-9*d; else a=-12*d; if(a<0)cout<<"Deficit"<<endl; else cout<<a<<endl; } return 0; }
TOJ-1335 Y2K Accounting Bug