POJ1844Sum
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易水人去,明月如霜。
Description
Consider the natural numbers from 1 to N. By associating to each number a sign (+ or -) and calculating the value of this expression we obtain a sum S. The problem is to determine for a given sum S the minimum number N for which we can obtain S by associating signs for all numbers between 1 to N.
For a given S, find out the minimum value N in order to obtain S according to the conditions of the problem.
For a given S, find out the minimum value N in order to obtain S according to the conditions of the problem.
Input
The only line contains in the first line a positive integer S (0< S <= 100000) which represents the sum to be obtained.
Output
The output will contain the minimum number N for which the sum S can be obtained.
Sample Input
12
Sample Output
7
Hint
The sum 12 can be obtained from at least 7 terms in the following way: 12 = -1+2+3+4+5+6-7.
太简单#include <cstdio>#include <cstring>#include <cmath>using namespace std;int main(){int n;scanf("%d",&n);for(int i=1;i<=n;i++){ if((i*(i+1))/2<n) continue; int d=i*(i+1)/2; if((d-n)%2==0) { printf("%d",i); break; }} return 0;}
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