Senior's Array
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 528 Accepted Submission(s): 209
Problem Description
One day, Xuejiejie gets an array
A.
Among all non-empty intervals of A,
she wants to find the most beautiful one. She defines the beauty as the sum of the interval. The beauty of the interval---[L,R]
is calculated by this formula : beauty(L,R) = A[L]+A[L+1]+……+A[R].
The most beautiful interval is the one with maximum beauty.
But as is known to all, Xuejiejie is used to pursuing perfection. She wants to get a more beautiful interval. So she asks Mini-Sun for help. Mini-Sun is a magician, but he is busy reviewing calculus. So he tells Xuejiejie that he can just help her change one
value of the element of A
to P
. Xuejiejie plans to come to see him in tomorrow morning.
Unluckily, Xuejiejie oversleeps. Now up to you to help her make the decision which one should be changed(You must change one element).
A.
Among all non-empty intervals of A,
she wants to find the most beautiful one. She defines the beauty as the sum of the interval. The beauty of the interval---[L,R]
is calculated by this formula : beauty(L,R) = A[L]+A[L+1]+……+A[R].
The most beautiful interval is the one with maximum beauty.
But as is known to all, Xuejiejie is used to pursuing perfection. She wants to get a more beautiful interval. So she asks Mini-Sun for help. Mini-Sun is a magician, but he is busy reviewing calculus. So he tells Xuejiejie that he can just help her change one
value of the element of A
to P
. Xuejiejie plans to come to see him in tomorrow morning.
Unluckily, Xuejiejie oversleeps. Now up to you to help her make the decision which one should be changed(You must change one element).
Input
In the first line there is an integer
T,
indicates the number of test cases.
In each case, the first line contains two integers
n
and P.
n
means the number of elements of the array. P
means the value Mini-Sun can change to.
The next line contains the original array.
1≤n≤1000,
−109≤A[i],P≤109。
T,
indicates the number of test cases.
In each case, the first line contains two integers
n
and P.
n
means the number of elements of the array. P
means the value Mini-Sun can change to.
The next line contains the original array.
1≤n≤1000,
−109≤A[i],P≤109。
Output
For each test case, output one integer which means the most beautiful interval's beauty after your change.
Sample Input
2
3 5
1 -1 2
3 -2
1 -1 2
Sample Output
8
2
Source
题意: 给一个数组a[n],问使数组中某一个值变成P。得到a[l]+a[l+1]+......+a[r]最大是多少。
#include<stdio.h>
const int N = 1005;
const int inf = 1<<29;
int main(){
__int64 dp[N],P,a[N],ans;
int n,T;
scanf("%d",&T);
while(T--){
scanf("%d%I64d",&n,&P);
for(int i=1; i<=n; i++)
scanf("%I64d",&a[i]); ans=-inf;
dp[0]=0; for(int i=1; i<=n; i++)
{
int tmp=a[i];
a[i]=P;
for(int j=1; j<=n; j++)
{
if(dp[j-1]>0)
dp[j]=dp[j-1]+a[j];
else
dp[j]=a[j];
if(dp[j]>ans)
ans=dp[j];
}
a[i]=tmp;
}
printf("%I64d\n",ans);
}
}