uva 10830 A New Function
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/** Author: johnsondu* time: 2013-4-25* problem: uva 10830 - A New Function* url: http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=1771* solution: http://www.algorithmist.com/index.php/UVa_10830* */#include <iostream>#include <cstdio>#include <cmath>#include <algorithm>#include <queue>#include <cstring>using namespace std ;#define LL long long#define inf 0xfffffff#define M 1500005#define N 200000#define T 1005#define max(x, y) (x > y ? x : y)#define min(x, y) (x < y ? x : y)LL n, num ;LL solve (){ LL ans = 0, lf, rt ; for (int i = 2; i*i <= n; i ++) ans += i * (n/i - 1) ; for (int i = 2; i * i < n; i ++) { lf = n / (i+1) + 1 ; rt = n / i ; if (lf > i) ans += (lf + rt) * (rt-lf+1) / 2 * (i-1) ; } return ans ;}int main (){ int tcase, cs = 1 ; //freopen ("data.txt", "r", stdin) ; scanf ("%d", &tcase) ; while (tcase --) { scanf ("%lld", &n) ; printf ("Case %d: %lld\n", cs++, solve ()) ; } return 0 ;}
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