Equal Sum PartitionsTime
limit:2000/1000 MS (java/others) Memory limit:32768/32768 K (java/others)
Total submission (s): 551 Accepted Submission (s): 409
Problem Descriptionan
equal sum partitionof a sequence of numbers is a grouping of the numbers (in the same order as the original sequence) in such Group has the same sum. For example, the sequence:
2 5 1 3 3 7
May be grouped as:
(2 5) (1 3 3) (7)
To yield an equal sum of
7.
Note:the partition that puts all the numbers in a single group are an equal sum partition with the sum equal to the sum of All the numbers in the sequence.
For this problem, you'll write a program that takes as input a sequence of positive integers and returns the smallest SU m for an equal sum partition of the sequence.
Inputthe first line of input contains a single integer
P, (1≤
P≤1000), which is the number of data sets that follow. The first line of all data set contains the data set number, followed by a space, followed by a decimal integer
M, (1≤
M≤10000), giving the total number of integers in the sequence. The remaining line (s) in the dataset consist of the values, and separated by a single space. The last line of the dataset may contain less than values.
Outputfor each data set, generate one line of output with the following values:the data set number as a decimal integer, A space, and the smallest sum for a equal sum partition of the sequence.
Sample Input
31 62 5 1 3 3 72 61 2 3 4 5 63 201 1 2 1 1 2 1 1 2 11 2 1 1 2 1 1 2 1 1
Sample Output
1 72 213 2
Source2009 Greater New York Regional
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/* Test instructions: N number, divided into several sets, requires the number of each set and the same, to find the set of the minimum idea: Enumerate the current set to determine whether to meet the conditions */#include <iostream> #include <cstdio> #include <cstring> #include <algorithm> #include <cmath>using namespace std;typedef __int64 ll; #define N 10005# Define INF 0x3f3f3f3fint Sum[n];int n;bool FDD (ll temp) { int hh=0; int pos=0; while (pos!=n) { hh+=temp; Pos=upper_bound (SUM+1,SUM+N+1,HH)-(sum+1); if (sum[pos]!=hh) { return false; } } return true;} int main () { int i,j,t,ca; sum[0]=0; scanf ("%d", &t); while (t--) { scanf ("%d%d", &ca,&n); int x; for (i=1;i<=n;i++) { scanf ("%d", &x); sum[i]=sum[i-1]+x; } for (i=1;i<=n;i++) if (FDD (sum[i))) break; printf ("%d%d\n", Ca,sum[i]); } return 0;}
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HDU 3280 Equal Sum partitions (binary search)