Sum時間限制:1000 ms | 記憶體限制:65535 KB難度:2
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描述
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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.
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輸入
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The input consists N test cases.
The only line of every test cases contains a positive integer S (0< S <= 100000) which represents the sum to be obtained.
A zero terminate the input.
The number of test cases is less than 100000.
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輸出
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The output will contain the minimum number N for which the sum S can be obtained.
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範例輸入
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3120
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範例輸出
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27
#include<stdio.h>#include<stdlib.h>int main(){int n,i;while(scanf("%d",&n) && n!= 0){int sum=0;for(i=1; ; i++){sum += i;if(n == sum) {printf("%d\n",i);break;}if(sum > n){if((sum - n)%2 == 0){printf("%d\n",i);break;}}}}return 0;}