1044. Shopping in Mars (25)
Shopping in Mars is quite a different experience. The Mars people pay by chained diamonds. Each diamond has a value (in Mars dollars M$). When making the payment, the chain can be cut at any position for only once and some of the diamonds are taken off the chain one by one. Once a diamond is off the chain, it cannot be taken back. For example, if we have a chain of 8 diamonds with values M$3, 2, 1, 5, 4, 6, 8, 7, and we must pay M$15. We may have 3 options:
1. Cut the chain between 4 and 6, and take off the diamonds from the position 1 to 5 (with values 3+2+1+5+4=15).
2. Cut before 5 or after 6, and take off the diamonds from the position 4 to 6 (with values 5+4+6=15).
3. Cut before 8, and take off the diamonds from the position 7 to 8 (with values 8+7=15).
Now given the chain of diamond values and the amount that a customer has to pay, you are supposed to list all the paying options for the customer.
If it is impossible to pay the exact amount, you must suggest solutions with minimum lost.
Input Specification:
Each input file contains one test case. For each case, the first line contains 2 numbers: N (<=105), the total number of diamonds on the chain, and M (<=108), the amount that the customer has to pay. Then the next line contains N positive numbers D1 ... DN (Di<=103 for all i=1, ..., N) which are the values of the diamonds. All the numbers in a line are separated by a space.
Output Specification:
For each test case, print "i-j" in a line for each pair of i <= j such that Di + ... + Dj = M. Note that if there are more than one solution, all the solutions must be printed in increasing order of i.
If there is no solution, output "i-j" for pairs of i <= j such that Di + ... + Dj > M with (Di + ... + Dj - M) minimized. Again all the solutions must be printed in increasing order of i.
It is guaranteed that the total value of diamonds is sufficient to pay the given amount.
Sample Input 1:16 15 3 2 1 5 4 6 8 7 16 10 15 11 9 12 14 13Sample Output 1:
1-5 4-6 7-8 11-11Sample Input 2:
5 13 2 4 5 7 9Sample Output 2:
2-4 4-5
1 #include<cstdio> 2 #include<algorithm> 3 #include<iostream> 4 #include<cstring> 5 #include<queue> 6 #include<vector> 7 #include<cmath> 8 #include<string> 9 #include<map> 10 #include<set> 11 using namespace std; 12 vector<pair<int,int> > line; 13 #define inf 100000005 14 int main(){ 15 //freopen("D:\INPUT.txt","r",stdin); 16 int minsum;//历史上的最小值 17 int n,sum,i,j; 18 scanf("%d %d",&n,&sum);//规定的最小值 19 int *dia=new int[n+5]; 20 for(i=1;i<=n;i++){ 21 scanf("%d",&dia[i]); 22 } 23 dia[0]=dia[1]; 24 j=1;//虚拟0位置还有数 25 int cursum=dia[1]+dia[0];//当前的最小值 26 minsum=inf; 27 line.push_back(make_pair(0,0)); 28 for(i=1;i<=n;i++){//指针思想 29 cursum-=dia[i-1]; 30 while(j<n&&cursum<sum){ 31 cursum+=dia[++j]; 32 } 33 if(cursum>=sum&&cursum<minsum){//update 34 //这里的cursum>=sum是针对j已经到数组末尾设立的 35 //j之前如果已经到末尾，i向后移动有可能cursum有可能等于sum，但一定是减少的 36 line.clear(); 37 line.push_back(make_pair(i,j)); 38 minsum=cursum; 39 } 40 else{ 41 if(cursum==minsum){//insert 42 line.push_back(make_pair(i,j)); 43 } 44 } 45 } 46 for(i=0;i<line.size();i++){ 47 printf("%d-%d ",line[i].first,line[i].second); 48 } 49 return 0; 50 }