HDU1003`Max Sum(DP)
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Max Sum
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 244914 Accepted Submission(s): 57821
Problem Description
Given a sequence a[1],a[2],a[3]......a[n], your job is to calculate the max sum of a sub-sequence. For example, given (6,-1,5,4,-7), the max sum in this sequence is 6 + (-1) + 5 + 4 = 14.
Input
The first line of the input contains an integer T(1<=T<=20) which means the number of test cases. Then T lines follow, each line starts with a number N(1<=N<=100000), then N integers followed(all the integers are between -1000 and 1000).
Output
For each test case, you should output two lines. The first line is "Case #:", # means the number of the test case. The second line contains three integers, the Max Sum in the sequence, the start position of the sub-sequence, the end position of the sub-sequence. If there are more than one result, output the first one. Output a blank line between two cases.
Sample Input
25 6 -1 5 4 -77 0 6 -1 1 -6 7 -5
Sample Output
Case 1:14 1 4Case 2:7 1 6
给出n个数,求连续子串和的最大值,并记录起始点和终止点
直接遍历一遍,记录前缀和并不断刷新最大值和右端点,如果前缀和<0,将记录值变为0,左端点变为此时的下一点
#include <iostream>#include<cstdio>#include<cstring>#include<algorithm>#include<cmath>#define inf 0x3f3f3f3f#define mem(a,b) memset(a,b,sizeof(a))#define N 100005using namespace std;int a[N];int main(){ int t,q=1; scanf("%d",&t); while(t--) { int n; scanf("%d",&n); for(int i=1;i<=n;i++) scanf("%d",&a[i]); int cnt=0,maxn=-1000,x1=1,x,y; for(int i=1;i<=n;i++) { cnt+=a[i]; if(cnt>maxn) maxn=cnt,x=x1,y=i; if(cnt<0) cnt=0,x1=i+1; } printf("Case %d:\n%d %d %d\n",q++,maxn,x,y); if(t) puts(""); }}
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